RusstopiaLabs
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xs
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1/2 Updated Makefile to allow VENDOR flag (adds -vendor to version string) 

2/2 Added vendor/ dir to lock down dependent pkg versions.
The author of git.schwanenlied.me/yawning/{chacha20,newhope,kyber}.git has copied
their repos to gitlab.com/yawning/ but some imports of chacha20 from newhope still
inconsistently refer to git.schwanenlied.me/, breaking build.
Licenses for chacha20 also changed from CC0 to AGPL, which may or may not be an
issue. Until the two aforementioned issues are resolved, locking to last-good
versions is probably the best way forward for now.

To build with vendored deps, use make VENDOR=1 clean all
This commit is contained in:
Russ Magee 2020-01-29 13:25:14 -08:00
parent 7fe915450b
commit caac02a77b
853 changed files with 287342 additions and 6 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

13
Makefile
View File

@ -6,8 +6,17 @@
GIT_COMMIT := $(shell git rev-list -1 HEAD)
VERSION := 0.8.11
ifneq ($(VENDOR),)
GOBUILDOPTS :=-v -mod vendor
VTAG = "-vendor"
else
GOBUILDOPTS=
VTAG =
endif
#ifeq ($(BUILDOPTS),)
BUILDOPTS :=$(BUILDOPTS)" -ldflags \"-X main.version=$(VERSION) -X main.gitCommit=$(GIT_COMMIT)\""
BUILDOPTS :=$(BUILDOPTS)"$(GOBUILDOPTS) -ldflags \"-X main.version=$(VERSION)$(VTAG) -X main.gitCommit=$(GIT_COMMIT)\""
#endif
SUBPKGS = logger spinsult xsnet
@ -63,7 +72,7 @@ passwd: common
vis:
@which go-callvis >/dev/null 2>&1; \
stat=$$?; if [ $$stat -ne "0" ]; then \
/bin/echo "go-callvis not found. Run go get github.com/Russtopia/go-callvis to install."; \
/bin/echo "go-callvis not found. Run go get https://github.com/TrueFurby/go-callvis to install."; \
else \
make -C xs vis;\
make -C xsd vis;\

2
go.mod
View File

@ -17,10 +17,12 @@ require (
github.com/kr/pty v1.1.4
github.com/mattn/go-isatty v0.0.7
github.com/pkg/errors v0.8.1 // indirect
github.com/stretchr/testify v1.4.0 // indirect
github.com/templexxx/cpufeat v0.0.0-20180724012125-cef66df7f161 // indirect
github.com/templexxx/xor v0.0.0-20181023030647-4e92f724b73b // indirect
github.com/tjfoc/gmsm v1.0.1 // indirect
github.com/xtaci/kcp-go v5.4.19+incompatible
github.com/xtaci/lossyconn v0.0.0-20190602105132-8df528c0c9ae // indirect
golang.org/x/crypto v0.0.0-20190417174047-f416ebab96af
golang.org/x/net v0.0.0-20191209160850-c0dbc17a3553 // indirect
golang.org/x/sys v0.0.0-20190416152802-12500544f89f

21
go.sum
View File

@ -4,17 +4,19 @@ blitter.com/go/goutmp v1.0.1 h1:jBqtp6pDwSbF4QEC3DjNfyaS8Nv5dFCOyaTfSbbb7TU=
blitter.com/go/goutmp v1.0.1/go.mod h1:gtlbjC8xGzMk/Cf0BpnVltSa3awOqJ+B5WAxVptTMxk=
blitter.com/go/herradurakex v1.0.0 h1:6XaxY+JLT1HUWPF0gYJnjX3pVjrw4YhYZEzZ1U0wkyc=
blitter.com/go/herradurakex v1.0.0/go.mod h1:m3+vYZX+2dDjdo+n/HDnXEYJX9pwmNeQLgAfJM8mtxw=
blitter.com/go/mtwist v1.0.0 h1:/Vg6k12+DC+fokeRrLApL22hZS/EqEazJTo/FDdbDog=
blitter.com/go/mtwist v1.0.0/go.mod h1:aU82Nx8+b1v8oZRNqImfEDzDTPim81rY0ACKAIclV18=
blitter.com/go/mtwist v1.0.1 h1:PxmoWexfMpLmc8neHP/PcRc3s17ct7iz4d5W/qJVt04=
blitter.com/go/mtwist v1.0.1/go.mod h1:aU82Nx8+b1v8oZRNqImfEDzDTPim81rY0ACKAIclV18=
blitter.com/go/wanderer v0.8.0 h1:xT7lKdKLSyonVf0vZW6R46E3gz3B5pJ1VDBlsa4ULDI=
blitter.com/go/wanderer v0.8.0/go.mod h1:FX1pAnZ5woEavy5CUIZco0/Gc2Msb3U0zsmi+6Hs4Rw=
blitter.com/go/wanderer v0.8.1 h1:oQw8yASM7iI+S8GIgf3cUFdkJ8Sy/UQxRDJqhTswgwM=
blitter.com/go/wanderer v0.8.1/go.mod h1:FX1pAnZ5woEavy5CUIZco0/Gc2Msb3U0zsmi+6Hs4Rw=
git.schwanenlied.me/yawning/chacha20.git v0.0.0-20170904085104-e3b1f968fc63 h1:bwZNsbw3qFbg6ox55HrA37nPmh+/wtJxZ7uWeiAdUUc=
git.schwanenlied.me/yawning/chacha20.git v0.0.0-20170904085104-e3b1f968fc63/go.mod h1:NYi4Ifd1g/YbhIDgDfw6t7QdsW4tofQWMX/+FiDtJWs=
git.schwanenlied.me/yawning/kyber.git v0.0.0-20180530164001-a270899bd22c h1:SGOx1s56QSOmuCegRcG3yvOG7W8PvRS9ZVnFQl5K2aQ=
git.schwanenlied.me/yawning/kyber.git v0.0.0-20180530164001-a270899bd22c/go.mod h1:QrbgzU5EL/1jaMD5pD4Tiikj3R5elPMa+RMwFUTGwQU=
git.schwanenlied.me/yawning/newhope.git v0.0.0-20170622154529-9598792ba8f2 h1:89TYv/+wotJ+QWrH5B/yN0pEQutr2V/5za0VoYiVGCM=
git.schwanenlied.me/yawning/newhope.git v0.0.0-20170622154529-9598792ba8f2/go.mod h1:weMqACFGzJs4Ni+K9shsRd02N4LkDrtGlkRxISK+II0=
github.com/davecgh/go-spew v1.1.0 h1:ZDRjVQ15GmhC3fiQ8ni8+OwkZQO4DARzQgrnXU1Liz8=
github.com/davecgh/go-spew v1.1.0/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
github.com/jameskeane/bcrypt v0.0.0-20120420032655-c3cd44c1e20f h1:UWGE8Vi+1Agt0lrvnd7UsmvwqWKRzb9byK9iQmsbY0Y=
github.com/jameskeane/bcrypt v0.0.0-20120420032655-c3cd44c1e20f/go.mod h1:u+9Snq0w+ZdYKi8BBoaxnEwWu0fY4Kvu9ByFpM51t1s=
github.com/klauspost/cpuid v1.2.2 h1:1xAgYebNnsb9LKCdLOvFWtAxGU/33mjJtyOVbmUa0Us=
github.com/klauspost/cpuid v1.2.2/go.mod h1:Pj4uuM528wm8OyEC2QMXAi2YiTZ96dNQPGgoMS4s3ek=
@ -26,6 +28,11 @@ github.com/mattn/go-isatty v0.0.7 h1:UvyT9uN+3r7yLEYSlJsbQGdsaB/a0DlgWP3pql6iwOc
github.com/mattn/go-isatty v0.0.7/go.mod h1:Iq45c/XA43vh69/j3iqttzPXn0bhXyGjM0Hdxcsrc5s=
github.com/pkg/errors v0.8.1 h1:iURUrRGxPUNPdy5/HRSm+Yj6okJ6UtLINN0Q9M4+h3I=
github.com/pkg/errors v0.8.1/go.mod h1:bwawxfHBFNV+L2hUp1rHADufV3IMtnDRdf1r5NINEl0=
github.com/pmezard/go-difflib v1.0.0 h1:4DBwDE0NGyQoBHbLQYPwSUPoCMWR5BEzIk/f1lZbAQM=
github.com/pmezard/go-difflib v1.0.0/go.mod h1:iKH77koFhYxTK1pcRnkKkqfTogsbg7gZNVY4sRDYZ/4=
github.com/stretchr/objx v0.1.0/go.mod h1:HFkY916IF+rwdDfMAkV7OtwuqBVzrE8GR6GFx+wExME=
github.com/stretchr/testify v1.4.0 h1:2E4SXV/wtOkTonXsotYi4li6zVWxYlZuYNCXe9XRJyk=
github.com/stretchr/testify v1.4.0/go.mod h1:j7eGeouHqKxXV5pUuKE4zz7dFj8WfuZ+81PSLYec5m4=
github.com/templexxx/cpufeat v0.0.0-20180724012125-cef66df7f161 h1:89CEmDvlq/F7SJEOqkIdNDGJXrQIhuIx9D2DBXjavSU=
github.com/templexxx/cpufeat v0.0.0-20180724012125-cef66df7f161/go.mod h1:wM7WEvslTq+iOEAMDLSzhVuOt5BRZ05WirO+b09GHQU=
github.com/templexxx/xor v0.0.0-20181023030647-4e92f724b73b h1:mnG1fcsIB1d/3vbkBak2MM0u+vhGhlQwpeimUi7QncM=
@ -34,6 +41,8 @@ github.com/tjfoc/gmsm v1.0.1 h1:R11HlqhXkDospckjZEihx9SW/2VW0RgdwrykyWMFOQU=
github.com/tjfoc/gmsm v1.0.1/go.mod h1:XxO4hdhhrzAd+G4CjDqaOkd0hUzmtPR/d3EiBBMn/wc=
github.com/xtaci/kcp-go v5.4.19+incompatible h1:vv7Ar1D9WZGiv6deIOluxrC26Oin/2jFtx8sFU5tlvw=
github.com/xtaci/kcp-go v5.4.19+incompatible/go.mod h1:bN6vIwHQbfHaHtFpEssmWsN45a+AZwO7eyRCmEIbtvE=
github.com/xtaci/lossyconn v0.0.0-20190602105132-8df528c0c9ae h1:J0GxkO96kL4WF+AIT3M4mfUVinOCPgf2uUWYFUzN0sM=
github.com/xtaci/lossyconn v0.0.0-20190602105132-8df528c0c9ae/go.mod h1:gXtu8J62kEgmN++bm9BVICuT/e8yiLI2KFobd/TRFsE=
golang.org/x/crypto v0.0.0-20190308221718-c2843e01d9a2/go.mod h1:djNgcEr1/C05ACkg1iLfiJU5Ep61QUkGW8qpdssI0+w=
golang.org/x/crypto v0.0.0-20190417174047-f416ebab96af h1:6qGQw30u837TXZbCmLFR9AVA+RjJU1LIbvk0oIkDZGY=
golang.org/x/crypto v0.0.0-20190417174047-f416ebab96af/go.mod h1:WFFai1msRO1wXaEeE5yQxYXgSfI8pQAWXbQop6sCtWE=
@ -45,9 +54,13 @@ golang.org/x/sys v0.0.0-20190403152447-81d4e9dc473e/go.mod h1:h1NjWce9XRLGQEsW7w
golang.org/x/sys v0.0.0-20190416152802-12500544f89f h1:1ZH9RnjNgLzh6YrsRp/c6ddZ8Lq0fq9xztNOoWJ2sz4=
golang.org/x/sys v0.0.0-20190416152802-12500544f89f/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405 h1:yhCVgyC4o1eVCa2tZl7eS0r+SDo693bJlVdllGtEeKM=
gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
gopkg.in/hlandau/easymetric.v1 v1.0.0 h1:ZbfbH7W3giuVDjWUoFhDOjjv20hiPr5HZ2yMV5f9IeE=
gopkg.in/hlandau/easymetric.v1 v1.0.0/go.mod h1:yh75hypuFzAxmvECh3ZKGCvFnIfapYJh2wv7ASaX2RE=
gopkg.in/hlandau/measurable.v1 v1.0.1 h1:wH5UZKCRUnRr1iD+xIZfwhtxhmr+bprRJttqA1Rklf4=
gopkg.in/hlandau/measurable.v1 v1.0.1/go.mod h1:6N+SYJGMTmetsx7wskULP+juuO+++tsHJkAgzvzsbuM=
gopkg.in/hlandau/passlib.v1 v1.0.10 h1:q5xh9ZHp907XTjVw8/EqG03//fnlITnIYQmv4Gn7TpE=
gopkg.in/hlandau/passlib.v1 v1.0.10/go.mod h1:wxGAv2CtQHlzWY8NJp+p045yl4WHyX7v2T6XbOcmqjM=
gopkg.in/yaml.v2 v2.2.2 h1:ZCJp+EgiOT7lHqUV2J862kp8Qj64Jo6az82+3Td9dZw=
gopkg.in/yaml.v2 v2.2.2/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=

6
vendor/blitter.com/go/cryptmt/README.md generated vendored Normal file
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@ -0,0 +1,6 @@
[![GoDoc](https://godoc.org/blitter.com/go/cryptmt?status.svg)](https://godoc.org/blitter.com/go/cryptmt)
Implementation of cryptMTv1 stream cipher (but with mtwist64 as base accum)
https://eprint.iacr.org/2005/165.pdf
Uses Mersenne Twister 64 golang implementation supplied by [cuixin](https://gist.github.com/cuixin): [gist](https://gist.github.com/cuixin/1b8b6bd7bfbde8fe76e8)

60
vendor/blitter.com/go/cryptmt/cryptmt.go generated vendored Normal file
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@ -0,0 +1,60 @@
// Package CryptMT - implementation of cryptMTv1 stream cipher
// (but with mtwist64 as base accum)
// https://eprint.iacr.org/2005/165.pdf
package cryptmt
// TODO rlm: according to go docs, stream ciphers do not implement the
// cipher.Block interface at all (thus do not support Encrypt() or
// Decrypt() .. cipher.StreamReader/StreamWriter() only call
// XORKeyStream() anyhow and for my own purposes this is all that is
// required.
import (
"errors"
mtwist "blitter.com/go/mtwist"
)
type Cipher struct {
accum uint64
m *mtwist.MT19937_64
}
func (c *Cipher) yield8() (r byte) {
c.accum = c.accum * (c.m.Int63() | 1)
r = byte(c.accum>>56) & 0xFF
return
}
// NewCipher creates and returns a Cipher. The key argument should be the
// CryptMT key, 64 bytes.
func NewCipher(key []byte) (c *Cipher) {
c = &Cipher{m: mtwist.New()}
c.m.SeedFullState(key)
c.accum = 1
// from paper, discard first 64 bytes of output
for idx := 0; idx < 64; idx++ {
_ = c.yield8()
}
return c
}
// XORKeyStream XORs each byte in the given slice with a byte from the
// cipher's key stream. Dst and src must overlap entirely or not at all.
//
// If len(dst) < len(src), XORKeyStream should panic. It is acceptable
// to pass a dst bigger than src, and in that case, XORKeyStream will
// only update dst[:len(src)] and will not touch the rest of dst.
//
// Multiple calls to XORKeyStream behave as if the concatenation of
// the src buffers was passed in a single run. That is, Stream
// maintains state and does not reset at each XORKeyStream call.
func (c *Cipher) XORKeyStream(dst, src []byte) {
if len(dst) < len(src) {
panic(errors.New("len(dst) < len(src)"))
}
for i, b := range src {
dst[i] = b ^ c.yield8()
}
}

21
vendor/blitter.com/go/goutmp/LICENSE.mit generated vendored Normal file
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@ -0,0 +1,21 @@
MIT License
Copyright (c) 2017 - 2018 Russell Magee
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

17
vendor/blitter.com/go/goutmp/README.md generated vendored Normal file
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@ -0,0 +1,17 @@
goutmp - Minimal bindings to C stdlib pututmpx(), getutmpx() (/var/log/wtmp) and /var/log/lastlog
Any Go program which allows user shell access should update the standard UNIX files which track user sessions: /var/log/wtmp (for the 'w' and 'who' commands), and /var/log/lastlog (the 'last' and 'lastlog' commands).
```
go doc
package goutmp // import "blitter.com/go/goutmp"
Golang bindings for basic login/utmp accounting
type UtmpEntry struct{ ... }
func Put_lastlog_entry(app string, usr string, host string)
func Unput_utmp(entry UtmpEntry)
func Put_utmp(user string, host string) UtmpEntry
```

130
vendor/blitter.com/go/goutmp/goutmp.go generated vendored Normal file
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@ -0,0 +1,130 @@
// Golang bindings for basic login/utmp accounting
package goutmp
//#include <stdio.h>
//#include <stdlib.h>
//#include <sys/file.h>
//#include <string.h>
//#include <unistd.h>
//#include <stdint.h>
//#include <time.h>
//#include <pwd.h>
//
//#include <utmp.h>
//#include <lastlog.h>
//
//typedef char char_t;
//
//
//void pututmp(struct utmp* entry, char* uname, char* ptsname, char* host) {
// entry->ut_type = USER_PROCESS;
// entry->ut_pid = getpid();
// strcpy(entry->ut_line, ptsname + strlen("/dev/"));
//
// strcpy(entry->ut_id, ptsname + strlen("/dev/pts/"));
//
// entry->ut_time = time(NULL);
// strcpy(entry->ut_user, uname);
// strcpy(entry->ut_host, host);
// entry->ut_addr = 0;
// setutent();
// pututline(entry);
//}
//
//void unpututmp(struct utmp* entry) {
// entry->ut_type = DEAD_PROCESS;
// memset(entry->ut_line, 0, UT_LINESIZE);
// entry->ut_time = 0;
// memset(entry->ut_user, 0, UT_NAMESIZE);
// setutent();
// pututline(entry);
//
// endutent();
//}
//
//int putlastlogentry(int64_t t, int uid, char* line, char* host) {
// int retval = 0;
// FILE *f;
// struct lastlog l;
//
// strncpy(l.ll_line, line, UT_LINESIZE);
// l.ll_line[UT_LINESIZE-1] = '\0';
// strncpy(l.ll_host, host, UT_HOSTSIZE);
// l.ll_host[UT_HOSTSIZE-1] = '\0';
//
// l.ll_time = (time_t)t;
// //printf("l: ll_line '%s', ll_host '%s', ll_time %d\n", l.ll_line, l.ll_host, l.ll_time);
//
// /* Write lastlog entry at fixed offset (uid * sizeof(struct lastlog) */
// if( NULL != (f = fopen("/var/log/lastlog", "rw+")) ) {
// if( !fseek(f, (uid * sizeof(struct lastlog)), SEEK_SET) ) {
// int fd = fileno(f);
// if( write(fd, &l, sizeof(l)) == sizeof(l) ) {
// retval = 1;
// //int32_t stat = system("echo ---- lastlog ----; lastlog");
// }
// }
// fclose(f);
// }
// return retval;
//}
import "C"
import (
"fmt"
"net"
"os/user"
"strings"
"time"
)
// UtmpEntry wraps the C struct utmp
type UtmpEntry struct {
entry C.struct_utmp
}
// return remote client hostname or IP if host lookup fails
// addr is expected to be of the format given by net.Addr.String()
// eg., "127.0.0.1:80" or "[::1]:80"
func GetHost(addr string) (h string) {
if !strings.Contains(addr, "[") {
h = strings.Split(addr, ":")[0]
} else {
h = strings.Split(strings.Split(addr, "[")[1], "]")[0]
}
hList, e := net.LookupAddr(h)
//fmt.Printf("lookupAddr:%v\n", hList)
if e == nil {
h = hList[0]
}
return
}
// Put a username and the originating host/IP to utmp
func Put_utmp(user, ptsName, host string) UtmpEntry {
var entry UtmpEntry
//log.Println("Put_utmp:host ", host, " user ", user)
C.pututmp(&entry.entry, C.CString(user), C.CString(ptsName), C.CString(host))
return entry
}
// Remove a username/host entry from utmp
func Unput_utmp(entry UtmpEntry) {
C.unpututmp(&entry.entry)
}
// Put the login app, username and originating host/IP to lastlog
func Put_lastlog_entry(app, usr, ptsname, host string) {
u, e := user.Lookup(usr)
if e != nil {
return
}
var uid uint32
fmt.Sscanf(u.Uid, "%d", &uid)
t := time.Now().Unix()
_ = C.putlastlogentry(C.int64_t(t), C.int(uid), C.CString(app), C.CString(host))
//stat := C.putlastlogentry(C.int64_t(t), C.int(uid), C.CString(app), C.CString(host))
//fmt.Println("stat was:",stat)
}

674
vendor/blitter.com/go/herradurakex/LICENSE.gpl generated vendored Normal file
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@ -0,0 +1,674 @@
GNU GENERAL PUBLIC LICENSE
Version 3, 29 June 2007
Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
Everyone is permitted to copy and distribute verbatim copies
of this license document, but changing it is not allowed.
Preamble
The GNU General Public License is a free, copyleft license for
software and other kinds of works.
The licenses for most software and other practical works are designed
to take away your freedom to share and change the works. By contrast,
the GNU General Public License is intended to guarantee your freedom to
share and change all versions of a program--to make sure it remains free
software for all its users. We, the Free Software Foundation, use the
GNU General Public License for most of our software; it applies also to
any other work released this way by its authors. You can apply it to
your programs, too.
When we speak of free software, we are referring to freedom, not
price. Our General Public Licenses are designed to make sure that you
have the freedom to distribute copies of free software (and charge for
them if you wish), that you receive source code or can get it if you
want it, that you can change the software or use pieces of it in new
free programs, and that you know you can do these things.
To protect your rights, we need to prevent others from denying you
these rights or asking you to surrender the rights. Therefore, you have
certain responsibilities if you distribute copies of the software, or if
you modify it: responsibilities to respect the freedom of others.
For example, if you distribute copies of such a program, whether
gratis or for a fee, you must pass on to the recipients the same
freedoms that you received. You must make sure that they, too, receive
or can get the source code. And you must show them these terms so they
know their rights.
Developers that use the GNU GPL protect your rights with two steps:
(1) assert copyright on the software, and (2) offer you this License
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work thus licensed is called the contributor's "contributor version".
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work and works based on it.
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the scope of its coverage, prohibits the exercise of, or is
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or that patent license was granted, prior to 28 March 2007.
Nothing in this License shall be construed as excluding or limiting
any implied license or other defenses to infringement that may
otherwise be available to you under applicable patent law.
12. No Surrender of Others' Freedom.
If conditions are imposed on you (whether by court order, agreement or
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covered work so as to satisfy simultaneously your obligations under this
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not convey it at all. For example, if you agree to terms that obligate you
to collect a royalty for further conveying from those to whom you convey
the Program, the only way you could satisfy both those terms and this
License would be to refrain entirely from conveying the Program.
13. Use with the GNU Affero General Public License.
Notwithstanding any other provision of this License, you have
permission to link or combine any covered work with a work licensed
under version 3 of the GNU Affero General Public License into a single
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License will continue to apply to the part which is the covered work,
but the special requirements of the GNU Affero General Public License,
section 13, concerning interaction through a network will apply to the
combination as such.
14. Revised Versions of this License.
The Free Software Foundation may publish revised and/or new versions of
the GNU General Public License from time to time. Such new versions will
be similar in spirit to the present version, but may differ in detail to
address new problems or concerns.
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Program specifies that a certain numbered version of the GNU General
Public License "or any later version" applies to it, you have the
option of following the terms and conditions either of that numbered
version or of any later version published by the Free Software
Foundation. If the Program does not specify a version number of the
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by the Free Software Foundation.
If the Program specifies that a proxy can decide which future
versions of the GNU General Public License can be used, that proxy's
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to choose that version for the Program.
Later license versions may give you additional or different
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author or copyright holder as a result of your choosing to follow a
later version.
15. Disclaimer of Warranty.
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
16. Limitation of Liability.
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
SUCH DAMAGES.
17. Interpretation of Sections 15 and 16.
If the disclaimer of warranty and limitation of liability provided
above cannot be given local legal effect according to their terms,
reviewing courts shall apply local law that most closely approximates
an absolute waiver of all civil liability in connection with the
Program, unless a warranty or assumption of liability accompanies a
copy of the Program in return for a fee.
END OF TERMS AND CONDITIONS
How to Apply These Terms to Your New Programs
If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these terms.
To do so, attach the following notices to the program. It is safest
to attach them to the start of each source file to most effectively
state the exclusion of warranty; and each file should have at least
the "copyright" line and a pointer to where the full notice is found.
<one line to give the program's name and a brief idea of what it does.>
Copyright (C) <year> <name of author>
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
Also add information on how to contact you by electronic and paper mail.
If the program does terminal interaction, make it output a short
notice like this when it starts in an interactive mode:
<program> Copyright (C) <year> <name of author>
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
This is free software, and you are welcome to redistribute it
under certain conditions; type `show c' for details.
The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License. Of course, your program's commands
might be different; for a GUI interface, you would use an "about box".
You should also get your employer (if you work as a programmer) or school,
if any, to sign a "copyright disclaimer" for the program, if necessary.
For more information on this, and how to apply and follow the GNU GPL, see
<http://www.gnu.org/licenses/>.
The GNU General Public License does not permit incorporating your program
into proprietary programs. If your program is a subroutine library, you
may consider it more useful to permit linking proprietary applications with
the library. If this is what you want to do, use the GNU Lesser General
Public License instead of this License. But first, please read
<http://www.gnu.org/philosophy/why-not-lgpl.html>.

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MIT License
Copyright (c) 2017 - 2018 Omar Alejandro Herrera Reyna (core HerraduraKEx)
Copyright (c) 2017 - 2018 Russell Magee (hkexsh/hkexshd/hkexpasswd)
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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.PHONY: info clean all lib
all: lib
clean:
go clean .
lib: info
go install .
ifneq ($(MSYSTEM),)
info:
@echo "building for Windows (MSYS)"
else
info:
@echo "building for Linux"
endif

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HerraduraKEx - an experimental Key Encapsulation Mechanism

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// Package hkex - an experimental key exchange algorithm
// by Omar Alejandro Herrera Reyna.
//
// (https://github.com/Caume/HerraduraKEx)
//
// The core HerraduraKEx algorithm is dual-licensed
// by the author (Omar Alejandro Herrera Reyna)
// under GPL3 and MIT licenses.
// See LICENSE.gpl and LICENSE.mit in this distribution
//
// Go implementation Copyright (c) 2017-2018 Russell Magee
// (rmagee_at_gmail_com)
// Licensed under the terms of the MIT license
// See LICENSE.mit in this distribution
package hkex
/* Herradura - a Key exchange scheme in the style of Diffie-Hellman Key Exchange.
Copyright (C) 2017 Omar Alejandro Herrera Reyna
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <https://www.gnu.org/licenses/>.
golang implementation by Russ Magee (rmagee_at_gmail.com) */
/* This is the core KEx algorithm. For client/server net support code,
See the hkexnet package (currently a sub-package of hkexsh) for a
golang/pkg/net compatible Conn interface using this to negotiate keys and
secure a network channel. */
import (
"fmt"
"math/big"
"math/rand"
"time"
)
// HerraduraKEx holds the session state for a key exchange.
type HerraduraKEx struct {
intSz, pubSz int
randctx *rand.Rand
a *big.Int
b *big.Int
d, peerD *big.Int
fa *big.Int
}
// New returns a HerraduraKEx struct.
//
// i - internal (private) random nonce
// p - public (exchanged) random nonce (typically 1/4 bitsize of i)
//
// If i or p are passed as zero, they will default to 256 and 64,
// respectively.
func New(i int, p int) (h *HerraduraKEx) {
h = new(HerraduraKEx)
if i == 0 {
i = 256
}
if p == 0 {
p = 64
}
h.intSz = i
h.pubSz = p
h.seed()
h.a = h.rand()
h.b = h.rand()
h.d = h.fscxRevolve(h.a, h.b, h.pubSz)
return h
}
func (h *HerraduraKEx) seed() {
r := rand.New(rand.NewSource(time.Now().UnixNano()))
h.randctx = r
}
func (h *HerraduraKEx) rand() (v *big.Int) {
v = big.NewInt(0)
v.Rand(h.randctx, h.getMax())
return v
}
// getMax returns the max value for an n-bit big.Int
func (h *HerraduraKEx) getMax() (n *big.Int) {
n = big.NewInt(0)
var max big.Int
for i := 0; i < h.intSz; i++ {
max.SetBit(n, i, 1)
}
n = &max
return n
}
func (h *HerraduraKEx) bitX(x *big.Int, pos int) (ret int64) {
if pos < 0 {
pos = h.intSz - pos
}
if pos == 0 {
ret = int64(x.Bit(1) ^ x.Bit(0) ^ x.Bit(h.intSz-1))
} else if pos == h.intSz-1 {
ret = int64(x.Bit(0) ^ x.Bit(pos) ^ x.Bit(pos-1))
} else {
ret = int64(x.Bit((pos+1)%h.intSz) ^ x.Bit(pos) ^ x.Bit(pos-1))
}
return ret
}
func (h *HerraduraKEx) bit(up, down *big.Int, posU, posD int) (ret *big.Int) {
return big.NewInt(h.bitX(up, posU) ^ h.bitX(down, posD))
}
func (h *HerraduraKEx) fscx(up, down *big.Int) (result *big.Int) {
result = big.NewInt(0)
for count := 0; count < h.intSz; count++ {
result.Lsh(result, 1)
result.Add(result, h.bit(up, down, count, count))
}
return result
}
// This is the iteration function using the result of the previous iteration
// as the first parameter and the second parameter of the first iteration.
func (h *HerraduraKEx) fscxRevolve(x, y *big.Int, passes int) (result *big.Int) {
result = x
for count := 0; count < passes; count++ {
result = h.fscx(result, y)
}
return result
}
// D returns the D (FSCX Revolved) value, input to generate FA
// (the value for peer KEx)
func (h HerraduraKEx) D() *big.Int {
return h.d
}
// PeerD returns the peer D value
func (h HerraduraKEx) PeerD() *big.Int {
return h.peerD
}
// SetPeerD stores the received peer's D value (contents, not ptr)
func (h *HerraduraKEx) SetPeerD(pd *big.Int) {
h.peerD = new(big.Int).Set(pd)
}
// ComputeFA computes the FA value, which must be sent to peer for KEx.
func (h *HerraduraKEx) ComputeFA() {
h.fa = h.fscxRevolve(h.peerD, h.b, h.intSz-h.pubSz)
h.fa.Xor(h.fa, h.a)
}
// FA returns the computed FA value
func (h HerraduraKEx) FA() *big.Int {
return h.fa
}
// Output HerraduraKEx type value as a string. Implements Stringer interface.
func (h *HerraduraKEx) String() string {
return fmt.Sprintf("s:%d p:%d\na:%s\nb:%s\nd:->%s\n<-peerD:%s\nfa:%s",
h.intSz, h.pubSz,
h.a.Text(16), h.b.Text(16),
h.d.Text(16),
h.peerD.Text(16),
h.fa.Text(16))
}

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// MersenneTwister
// From https://gist.github.com/cuixin/1b8b6bd7bfbde8fe76e8
package MersenneTwister
import (
"crypto"
_ "crypto/sha512"
)
const N = 312
const M = 156
const MATRIX_A = 0xB5026F5AA96619E9
const UPPER_MASK = 0xFFFFFFFF80000000
const LOWER_MASK = 0x7FFFFFFF
type MT19937_64 struct {
array [N]uint64 //state vector
index uint64 // array index
}
func New() *MT19937_64 {
return &MT19937_64{
index: N + 1,
}
}
func (m *MT19937_64) _initstate() {
// Recommendations abound that mtwist should throw away 1st 10000 or so
// of initial state
for i := 0; i < 10000; i++ {
_ = m.Int63()
}
}
func (m *MT19937_64) Seed(seed int64) {
m.array[0] = uint64(seed)
for m.index = 1; m.index < N; m.index++ {
m.array[m.index] = (6364136223846793005*(m.array[m.index-1]^(m.array[m.index-1]>>62)) + m.index)
}
m._initstate()
//fmt.Printf("final array(s):%v\n", m.array)
}
func _bytesToUint64(b []byte) (r uint64) {
r = uint64(b[0])<<56 +
uint64(b[1])<<48 +
uint64(b[2])<<40 +
uint64(b[3])<<32 +
uint64(b[4])<<24 +
uint64(b[5])<<16 +
uint64(b[6])<<8 +
uint64(b[7])
return
}
func (m *MT19937_64) SeedFullState(s []byte) {
//fmt.Printf("s:%v\n", s)
if len(s) < N*8 {
// Expand s if shorter than mtwist array state
ha := crypto.SHA512
h := ha.New()
shortfallChunks := ((N * 8) - len(s)) / h.Size()
//shortfallRem := ((N * 8) - len(s)) % h.Size()
//fmt.Printf("chunks, rem:%d,%d\n", shortfallChunks, shortfallRem)
idx := 0
for idx < shortfallChunks {
_, _ = h.Write(s)
s = h.Sum(s)
idx += 1
}
_, _ = h.Write(s)
s = h.Sum(s)
//fmt.Printf("exp s:%v\n", s)
}
for idx := 0; idx < N; {
m.array[idx] = _bytesToUint64(s[idx*8 : (idx*8)+8])
idx += 1
}
//fmt.Printf("final array(xs):%v\n", m.array)
m.index = 0
m._initstate()
}
func (m *MT19937_64) Int63() uint64 {
var i int
var x uint64
mag01 := []uint64{0, MATRIX_A}
if m.index >= N {
if m.index == N+1 {
m.Seed(int64(5489))
}
for i = 0; i < N-M; i++ {
x = (m.array[i] & UPPER_MASK) | (m.array[i+1] & LOWER_MASK)
m.array[i] = m.array[i+(M)] ^ (x >> 1) ^ mag01[int(x&uint64(1))]
}
for ; i < N-1; i++ {
x = (m.array[i] & UPPER_MASK) | (m.array[i+1] & LOWER_MASK)
m.array[i] = m.array[i+(M-N)] ^ (x >> 1) ^ mag01[int(x&uint64(1))]
}
x = (m.array[N-1] & UPPER_MASK) | (m.array[0] & LOWER_MASK)
m.array[N-1] = m.array[M-1] ^ (x >> 1) ^ mag01[int(x&uint64(1))]
m.index = 0
}
x = m.array[m.index]
m.index++
x ^= (x >> 29) & 0x5555555555555555
x ^= (x << 17) & 0x71D67FFFEDA60000
x ^= (x << 37) & 0xFFF7EEE000000000
x ^= (x >> 43)
return x
}
func (m *MT19937_64) IntN(value uint64) uint64 {
return m.Int63() % value
}
func (m *MT19937_64) Read(p []byte) (n int, err error) {
for idx := 0; idx < len(p); idx++ {
p[idx] = byte( (m.Int63()>>47) % 256)
}
return n, nil
}

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// WANDERER - a crypto doodle that appears to give adequate
// protection to data in a stream cipher context
//
// Properties visualized using https://github.com/circulosmeos/circle
package wanderer
// TODOs:
// -define s-box rotation/shuffle schema
// -devise p-box schema (? Meh. Need to blockify & re-streamify to do this)
// ...
import (
"errors"
"fmt"
"io"
"time"
mtwist "blitter.com/go/mtwist"
)
const (
keylen = 512
sboxCount = keylen / 8
)
// Given input byte x (treated as 2-bit dirs),
// 'walk' box applying XOR of each position (E/S/W/N) given box
// dimensions w,h
// NOTE to ensure reachability of all values within a box, w,h
// should not each exceed 3 and should probably stay at 2, to
// give more even coverage given random input.
func walkingXOR(key, s []byte, w, h int, x byte) (r byte) {
i := 0
r = x
for sidx := range key {
ktemp := key[sidx]
r = r ^ (s[i])
for shift := uint(0); shift < 8; shift += 2 {
// fmt.Println("i:", i, "r:", r)
dir := (ktemp >> shift) & 0x03
switch dir {
case 0:
i = i + 1
i = i % len(s)
case 1:
i = i + w
i = i % len(s)
case 2:
if i%w != 0 {
i = i - 1
} else {
i = i + w - 1
}
case 3:
if i >= w {
i = i - w
} else {
i = len(s) + i - w
}
}
r = r ^ (s[i])
}
}
return
}
func (c *Cipher) genSBoxen(n uint) {
c.sboxen = make([][]byte, n)
var idx uint
for ; idx < n; idx++ {
c.sboxen[idx] = make([]byte, c.sw*c.sh)
_, _ = c.prng.Read(c.sboxen[idx])
}
//fmt.Fprintf(os.Stderr, "sboxen[0]:%v\n", c.sboxen[0])
}
// Mutate the session key (intended to be called as encryption
// proceeds), so that the 'walk path' through sboxes also does so.
func (c *Cipher) keyUpdate(perturb byte) {
c.k[c.kidx] = c.k[c.kidx] ^ c.k[(c.kidx+1)%uint(len(c.k))]
c.k[c.kidx] = c.k[c.kidx] ^ byte((c.prng.Int63()>>4)%256)
c.kidx = (c.kidx + uint(perturb)) % uint(len(c.k))
}
// slow - perturb a single octet of a single sbox for each octet
// (CV = ~8.725% over 700 MiB of 0-byte pt)
func (c *Cipher) sboxUpdateA(perturb byte) {
c.sboxen[perturb%sboxCount][int(perturb)%(c.sw+c.sh)] ^=
perturb
}
// slower - perturb a single sbox for each octet
// (CV = ~?% over 700 MiB of 0-byte pt)
func (c *Cipher) sboxUpdateB(perturb byte) {
lim := c.sw * c.sh
for idx := 0; idx < lim; idx++ {
c.sboxen[perturb%sboxCount][idx] ^= perturb
}
}
// slowest -- full sbox re-gen after each octet
// (but lowest CV, ~0.05% over 700MiB of 0-byte pt)
func (c *Cipher) sboxUpdateC(perturb byte) {
c.genSBoxen(sboxCount)
//c.sboxen[perturb%sboxCount][int(perturb)%(c.sw+c.sh)] ^=
// perturb
}
type Cipher struct {
prng *mtwist.MT19937_64
r io.Reader
w io.Writer
k []byte
kidx uint
sboxen [][]byte
sw int
sh int
sctr int // TODO: used to count down to re-keying & sbox regen
mode int
n byte
}
func NewCodec(r io.Reader, w io.Writer, mode int, key []byte, width, height int) (c *Cipher) {
c = &Cipher{}
c.prng = mtwist.New()
if len(key) == 0 {
c.k = []byte(fmt.Sprintf("%s", time.Now()))
} else {
c.k = key
}
c.prng.SeedFullState(c.k)
// Discard first 64 bytes of MT output
for idx := 0; idx < 64; idx++ {
_ = c.prng.Int63()
}
c.mode = mode
c.r = r
c.w = w
c.sw = width
c.sh = height
c.sctr = c.sw // sbox ctr: countdown to regen sboxes
c.n = 0
c.genSBoxen(sboxCount)
// fmt.Printf("%+v\n", sboxen)
// c.buf = make([]byte, 4)
return c
}
func (c *Cipher) Read(p []byte) (n int, err error) {
n, err = c.r.Read(p)
if err == nil {
for idx := 0; idx < n; idx++ {
p[idx] = c.yield(p[idx])
}
}
return n, err
}
func (c *Cipher) Write(p []byte) (n int, err error) {
n, err = c.w.Write(p)
return n, err
}
func (c *Cipher) yield(pt byte) (ct byte) {
ct = walkingXOR(c.k, c.sboxen[c.n], c.sw, c.sh, pt)
c.n = (c.n + 1) % byte(len(c.sboxen))
c.keyUpdate(ct ^ pt) // must be equal in either encrypt/decrypt dirs
switch c.mode {
case 0:
// [nothing - varA]
break
case 1:
c.sboxUpdateA(ct ^ pt) // varA
case 2:
c.sboxUpdateB(ct ^ pt) // varB
case 3:
c.sboxUpdateC(ct ^ pt) // varC
default:
// [nothing]
}
// c.sctr = c.sctr - 1
// if c.sctr == 0 {
// c.genSBoxen(sboxCount)
// c.sctr = c.sw
// }
return ct
}
// XORKeyStream XORs each byte in the given slice with a byte from the
// cipher's key stream. Dst and src must overlap entirely or not at all.
//
// If len(dst) < len(src), XORKeyStream should panic. It is acceptable
// to pass a dst bigger than src, and in that case, XORKeyStream will
// only update dst[:len(src)] and will not touch the rest of dst.
//
// Multiple calls to XORKeyStream behave as if the concatenation of
// the src buffers was passed in a single run. That is, Stream
// maintains state and does not reset at each XORKeyStream call.
func (c *Cipher) XORKeyStream(dst, src []byte) {
//fmt.Printf("len dst:%d len src:%d\n", len(dst), len(src))
if len(dst) < len(src) {
panic(errors.New("len(dst) < len(src)"))
}
for idx, v := range src {
dst[idx] = c.yield(v)
}
}

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vendor/git.schwanenlied.me/yawning/chacha20.git/LICENSE generated vendored Normal file
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Creative Commons Legal Code
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14
vendor/git.schwanenlied.me/yawning/chacha20.git/README.md generated vendored Normal file
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### chacha20 - ChaCha20
#### Yawning Angel (yawning at schwanenlied dot me)
Yet another Go ChaCha20 implementation. Everything else I found was slow,
didn't support all the variants I need to use, or relied on cgo to go fast.
Features:
* 20 round, 256 bit key only. Everything else is pointless and stupid.
* IETF 96 bit nonce variant.
* XChaCha 24 byte nonce variant.
* SSE2 and AVX2 support on amd64 targets.
* Incremental encrypt/decrypt support, unlike golang.org/x/crypto/salsa20.

273
vendor/git.schwanenlied.me/yawning/chacha20.git/chacha20.go generated vendored Normal file
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// chacha20.go - A ChaCha stream cipher implementation.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to chacha20, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package chacha20
import (
"crypto/cipher"
"encoding/binary"
"errors"
"math"
"runtime"
)
const (
// KeySize is the ChaCha20 key size in bytes.
KeySize = 32
// NonceSize is the ChaCha20 nonce size in bytes.
NonceSize = 8
// INonceSize is the IETF ChaCha20 nonce size in bytes.
INonceSize = 12
// XNonceSize is the XChaCha20 nonce size in bytes.
XNonceSize = 24
// HNonceSize is the HChaCha20 nonce size in bytes.
HNonceSize = 16
// BlockSize is the ChaCha20 block size in bytes.
BlockSize = 64
stateSize = 16
chachaRounds = 20
// The constant "expand 32-byte k" as little endian uint32s.
sigma0 = uint32(0x61707865)
sigma1 = uint32(0x3320646e)
sigma2 = uint32(0x79622d32)
sigma3 = uint32(0x6b206574)
)
var (
// ErrInvalidKey is the error returned when the key is invalid.
ErrInvalidKey = errors.New("key length must be KeySize bytes")
// ErrInvalidNonce is the error returned when the nonce is invalid.
ErrInvalidNonce = errors.New("nonce length must be NonceSize/INonceSize/XNonceSize bytes")
// ErrInvalidCounter is the error returned when the counter is invalid.
ErrInvalidCounter = errors.New("block counter is invalid (out of range)")
useUnsafe = false
usingVectors = false
blocksFn = blocksRef
)
// A Cipher is an instance of ChaCha20/XChaCha20 using a particular key and
// nonce.
type Cipher struct {
state [stateSize]uint32
buf [BlockSize]byte
off int
ietf bool
}
// Reset zeros the key data so that it will no longer appear in the process's
// memory.
func (c *Cipher) Reset() {
for i := range c.state {
c.state[i] = 0
}
for i := range c.buf {
c.buf[i] = 0
}
}
// XORKeyStream sets dst to the result of XORing src with the key stream. Dst
// and src may be the same slice but otherwise should not overlap.
func (c *Cipher) XORKeyStream(dst, src []byte) {
if len(dst) < len(src) {
src = src[:len(dst)]
}
for remaining := len(src); remaining > 0; {
// Process multiple blocks at once.
if c.off == BlockSize {
nrBlocks := remaining / BlockSize
directBytes := nrBlocks * BlockSize
if nrBlocks > 0 {
blocksFn(&c.state, src, dst, nrBlocks, c.ietf)
remaining -= directBytes
if remaining == 0 {
return
}
dst = dst[directBytes:]
src = src[directBytes:]
}
// If there's a partial block, generate 1 block of keystream into
// the internal buffer.
blocksFn(&c.state, nil, c.buf[:], 1, c.ietf)
c.off = 0
}
// Process partial blocks from the buffered keystream.
toXor := BlockSize - c.off
if remaining < toXor {
toXor = remaining
}
if toXor > 0 {
for i, v := range src[:toXor] {
dst[i] = v ^ c.buf[c.off+i]
}
dst = dst[toXor:]
src = src[toXor:]
remaining -= toXor
c.off += toXor
}
}
}
// KeyStream sets dst to the raw keystream.
func (c *Cipher) KeyStream(dst []byte) {
for remaining := len(dst); remaining > 0; {
// Process multiple blocks at once.
if c.off == BlockSize {
nrBlocks := remaining / BlockSize
directBytes := nrBlocks * BlockSize
if nrBlocks > 0 {
blocksFn(&c.state, nil, dst, nrBlocks, c.ietf)
remaining -= directBytes
if remaining == 0 {
return
}
dst = dst[directBytes:]
}
// If there's a partial block, generate 1 block of keystream into
// the internal buffer.
blocksFn(&c.state, nil, c.buf[:], 1, c.ietf)
c.off = 0
}
// Process partial blocks from the buffered keystream.
toCopy := BlockSize - c.off
if remaining < toCopy {
toCopy = remaining
}
if toCopy > 0 {
copy(dst[:toCopy], c.buf[c.off:c.off+toCopy])
dst = dst[toCopy:]
remaining -= toCopy
c.off += toCopy
}
}
}
// ReKey reinitializes the ChaCha20/XChaCha20 instance with the provided key
// and nonce.
func (c *Cipher) ReKey(key, nonce []byte) error {
if len(key) != KeySize {
return ErrInvalidKey
}
switch len(nonce) {
case NonceSize:
case INonceSize:
case XNonceSize:
var subkey [KeySize]byte
var subnonce [HNonceSize]byte
copy(subnonce[:], nonce[0:16])
HChaCha(key, &subnonce, &subkey)
key = subkey[:]
nonce = nonce[16:24]
defer func() {
for i := range subkey {
subkey[i] = 0
}
}()
default:
return ErrInvalidNonce
}
c.Reset()
c.state[0] = sigma0
c.state[1] = sigma1
c.state[2] = sigma2
c.state[3] = sigma3
c.state[4] = binary.LittleEndian.Uint32(key[0:4])
c.state[5] = binary.LittleEndian.Uint32(key[4:8])
c.state[6] = binary.LittleEndian.Uint32(key[8:12])
c.state[7] = binary.LittleEndian.Uint32(key[12:16])
c.state[8] = binary.LittleEndian.Uint32(key[16:20])
c.state[9] = binary.LittleEndian.Uint32(key[20:24])
c.state[10] = binary.LittleEndian.Uint32(key[24:28])
c.state[11] = binary.LittleEndian.Uint32(key[28:32])
c.state[12] = 0
if len(nonce) == INonceSize {
c.state[13] = binary.LittleEndian.Uint32(nonce[0:4])
c.state[14] = binary.LittleEndian.Uint32(nonce[4:8])
c.state[15] = binary.LittleEndian.Uint32(nonce[8:12])
c.ietf = true
} else {
c.state[13] = 0
c.state[14] = binary.LittleEndian.Uint32(nonce[0:4])
c.state[15] = binary.LittleEndian.Uint32(nonce[4:8])
c.ietf = false
}
c.off = BlockSize
return nil
}
// Seek sets the block counter to a given offset.
func (c *Cipher) Seek(blockCounter uint64) error {
if c.ietf {
if blockCounter > math.MaxUint32 {
return ErrInvalidCounter
}
c.state[12] = uint32(blockCounter)
} else {
c.state[12] = uint32(blockCounter)
c.state[13] = uint32(blockCounter >> 32)
}
c.off = BlockSize
return nil
}
// NewCipher returns a new ChaCha20/XChaCha20 instance.
func NewCipher(key, nonce []byte) (*Cipher, error) {
c := new(Cipher)
if err := c.ReKey(key, nonce); err != nil {
return nil, err
}
return c, nil
}
// HChaCha is the HChaCha20 hash function used to make XChaCha.
func HChaCha(key []byte, nonce *[HNonceSize]byte, out *[32]byte) {
var x [stateSize]uint32 // Last 4 slots unused, sigma hardcoded.
x[0] = binary.LittleEndian.Uint32(key[0:4])
x[1] = binary.LittleEndian.Uint32(key[4:8])
x[2] = binary.LittleEndian.Uint32(key[8:12])
x[3] = binary.LittleEndian.Uint32(key[12:16])
x[4] = binary.LittleEndian.Uint32(key[16:20])
x[5] = binary.LittleEndian.Uint32(key[20:24])
x[6] = binary.LittleEndian.Uint32(key[24:28])
x[7] = binary.LittleEndian.Uint32(key[28:32])
x[8] = binary.LittleEndian.Uint32(nonce[0:4])
x[9] = binary.LittleEndian.Uint32(nonce[4:8])
x[10] = binary.LittleEndian.Uint32(nonce[8:12])
x[11] = binary.LittleEndian.Uint32(nonce[12:16])
hChaChaRef(&x, out)
}
func init() {
switch runtime.GOARCH {
case "386", "amd64":
// Abuse unsafe to skip calling binary.LittleEndian.PutUint32
// in the critical path. This is a big boost on systems that are
// little endian and not overly picky about alignment.
useUnsafe = true
}
}
var _ cipher.Stream = (*Cipher)(nil)

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// chacha20_amd64.go - AMD64 optimized chacha20.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to chacha20, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
// +build amd64,!gccgo,!appengine
package chacha20
import (
"math"
)
var usingAVX2 = false
func blocksAmd64SSE2(x *uint32, inp, outp *byte, nrBlocks uint)
func blocksAmd64AVX2(x *uint32, inp, outp *byte, nrBlocks uint)
func cpuidAmd64(cpuidParams *uint32)
func xgetbv0Amd64(xcrVec *uint32)
func blocksAmd64(x *[stateSize]uint32, in []byte, out []byte, nrBlocks int, isIetf bool) {
// Probably unneeded, but stating this explicitly simplifies the assembly.
if nrBlocks == 0 {
return
}
if isIetf {
var totalBlocks uint64
totalBlocks = uint64(x[12]) + uint64(nrBlocks)
if totalBlocks > math.MaxUint32 {
panic("chacha20: Exceeded keystream per nonce limit")
}
}
if in == nil {
for i := range out {
out[i] = 0
}
in = out
}
// Pointless to call the AVX2 code for just a single block, since half of
// the output gets discarded...
if usingAVX2 && nrBlocks > 1 {
blocksAmd64AVX2(&x[0], &in[0], &out[0], uint(nrBlocks))
} else {
blocksAmd64SSE2(&x[0], &in[0], &out[0], uint(nrBlocks))
}
}
func supportsAVX2() bool {
// https://software.intel.com/en-us/articles/how-to-detect-new-instruction-support-in-the-4th-generation-intel-core-processor-family
const (
osXsaveBit = 1 << 27
avx2Bit = 1 << 5
)
// Check to see if CPUID actually supports the leaf that indicates AVX2.
// CPUID.(EAX=0H, ECX=0H) >= 7
regs := [4]uint32{0x00}
cpuidAmd64(&regs[0])
if regs[0] < 7 {
return false
}
// Check to see if the OS knows how to save/restore XMM/YMM state.
// CPUID.(EAX=01H, ECX=0H):ECX.OSXSAVE[bit 27]==1
regs = [4]uint32{0x01}
cpuidAmd64(&regs[0])
if regs[2]&osXsaveBit == 0 {
return false
}
xcrRegs := [2]uint32{}
xgetbv0Amd64(&xcrRegs[0])
if xcrRegs[0]&6 != 6 {
return false
}
// Check for AVX2 support.
// CPUID.(EAX=07H, ECX=0H):EBX.AVX2[bit 5]==1
regs = [4]uint32{0x07}
cpuidAmd64(&regs[0])
return regs[1]&avx2Bit != 0
}
func init() {
blocksFn = blocksAmd64
usingVectors = true
usingAVX2 = supportsAVX2()
}

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// chacha20_ref.go - Reference ChaCha20.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to chacha20, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
// +build !go1.9
package chacha20
import (
"encoding/binary"
"math"
"unsafe"
)
func blocksRef(x *[stateSize]uint32, in []byte, out []byte, nrBlocks int, isIetf bool) {
if isIetf {
var totalBlocks uint64
totalBlocks = uint64(x[12]) + uint64(nrBlocks)
if totalBlocks > math.MaxUint32 {
panic("chacha20: Exceeded keystream per nonce limit")
}
}
// This routine ignores x[0]...x[4] in favor the const values since it's
// ever so slightly faster.
for n := 0; n < nrBlocks; n++ {
x0, x1, x2, x3 := sigma0, sigma1, sigma2, sigma3
x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 := x[4], x[5], x[6], x[7], x[8], x[9], x[10], x[11], x[12], x[13], x[14], x[15]
for i := chachaRounds; i > 0; i -= 2 {
// quarterround(x, 0, 4, 8, 12)
x0 += x4
x12 ^= x0
x12 = (x12 << 16) | (x12 >> 16)
x8 += x12
x4 ^= x8
x4 = (x4 << 12) | (x4 >> 20)
x0 += x4
x12 ^= x0
x12 = (x12 << 8) | (x12 >> 24)
x8 += x12
x4 ^= x8
x4 = (x4 << 7) | (x4 >> 25)
// quarterround(x, 1, 5, 9, 13)
x1 += x5
x13 ^= x1
x13 = (x13 << 16) | (x13 >> 16)
x9 += x13
x5 ^= x9
x5 = (x5 << 12) | (x5 >> 20)
x1 += x5
x13 ^= x1
x13 = (x13 << 8) | (x13 >> 24)
x9 += x13
x5 ^= x9
x5 = (x5 << 7) | (x5 >> 25)
// quarterround(x, 2, 6, 10, 14)
x2 += x6
x14 ^= x2
x14 = (x14 << 16) | (x14 >> 16)
x10 += x14
x6 ^= x10
x6 = (x6 << 12) | (x6 >> 20)
x2 += x6
x14 ^= x2
x14 = (x14 << 8) | (x14 >> 24)
x10 += x14
x6 ^= x10
x6 = (x6 << 7) | (x6 >> 25)
// quarterround(x, 3, 7, 11, 15)
x3 += x7
x15 ^= x3
x15 = (x15 << 16) | (x15 >> 16)
x11 += x15
x7 ^= x11
x7 = (x7 << 12) | (x7 >> 20)
x3 += x7
x15 ^= x3
x15 = (x15 << 8) | (x15 >> 24)
x11 += x15
x7 ^= x11
x7 = (x7 << 7) | (x7 >> 25)
// quarterround(x, 0, 5, 10, 15)
x0 += x5
x15 ^= x0
x15 = (x15 << 16) | (x15 >> 16)
x10 += x15
x5 ^= x10
x5 = (x5 << 12) | (x5 >> 20)
x0 += x5
x15 ^= x0
x15 = (x15 << 8) | (x15 >> 24)
x10 += x15
x5 ^= x10
x5 = (x5 << 7) | (x5 >> 25)
// quarterround(x, 1, 6, 11, 12)
x1 += x6
x12 ^= x1
x12 = (x12 << 16) | (x12 >> 16)
x11 += x12
x6 ^= x11
x6 = (x6 << 12) | (x6 >> 20)
x1 += x6
x12 ^= x1
x12 = (x12 << 8) | (x12 >> 24)
x11 += x12
x6 ^= x11
x6 = (x6 << 7) | (x6 >> 25)
// quarterround(x, 2, 7, 8, 13)
x2 += x7
x13 ^= x2
x13 = (x13 << 16) | (x13 >> 16)
x8 += x13
x7 ^= x8
x7 = (x7 << 12) | (x7 >> 20)
x2 += x7
x13 ^= x2
x13 = (x13 << 8) | (x13 >> 24)
x8 += x13
x7 ^= x8
x7 = (x7 << 7) | (x7 >> 25)
// quarterround(x, 3, 4, 9, 14)
x3 += x4
x14 ^= x3
x14 = (x14 << 16) | (x14 >> 16)
x9 += x14
x4 ^= x9
x4 = (x4 << 12) | (x4 >> 20)
x3 += x4
x14 ^= x3
x14 = (x14 << 8) | (x14 >> 24)
x9 += x14
x4 ^= x9
x4 = (x4 << 7) | (x4 >> 25)
}
// On amd64 at least, this is a rather big boost.
if useUnsafe {
if in != nil {
inArr := (*[16]uint32)(unsafe.Pointer(&in[n*BlockSize]))
outArr := (*[16]uint32)(unsafe.Pointer(&out[n*BlockSize]))
outArr[0] = inArr[0] ^ (x0 + sigma0)
outArr[1] = inArr[1] ^ (x1 + sigma1)
outArr[2] = inArr[2] ^ (x2 + sigma2)
outArr[3] = inArr[3] ^ (x3 + sigma3)
outArr[4] = inArr[4] ^ (x4 + x[4])
outArr[5] = inArr[5] ^ (x5 + x[5])
outArr[6] = inArr[6] ^ (x6 + x[6])
outArr[7] = inArr[7] ^ (x7 + x[7])
outArr[8] = inArr[8] ^ (x8 + x[8])
outArr[9] = inArr[9] ^ (x9 + x[9])
outArr[10] = inArr[10] ^ (x10 + x[10])
outArr[11] = inArr[11] ^ (x11 + x[11])
outArr[12] = inArr[12] ^ (x12 + x[12])
outArr[13] = inArr[13] ^ (x13 + x[13])
outArr[14] = inArr[14] ^ (x14 + x[14])
outArr[15] = inArr[15] ^ (x15 + x[15])
} else {
outArr := (*[16]uint32)(unsafe.Pointer(&out[n*BlockSize]))
outArr[0] = x0 + sigma0
outArr[1] = x1 + sigma1
outArr[2] = x2 + sigma2
outArr[3] = x3 + sigma3
outArr[4] = x4 + x[4]
outArr[5] = x5 + x[5]
outArr[6] = x6 + x[6]
outArr[7] = x7 + x[7]
outArr[8] = x8 + x[8]
outArr[9] = x9 + x[9]
outArr[10] = x10 + x[10]
outArr[11] = x11 + x[11]
outArr[12] = x12 + x[12]
outArr[13] = x13 + x[13]
outArr[14] = x14 + x[14]
outArr[15] = x15 + x[15]
}
} else {
// Slow path, either the architecture cares about alignment, or is not little endian.
x0 += sigma0
x1 += sigma1
x2 += sigma2
x3 += sigma3
x4 += x[4]
x5 += x[5]
x6 += x[6]
x7 += x[7]
x8 += x[8]
x9 += x[9]
x10 += x[10]
x11 += x[11]
x12 += x[12]
x13 += x[13]
x14 += x[14]
x15 += x[15]
if in != nil {
binary.LittleEndian.PutUint32(out[0:4], binary.LittleEndian.Uint32(in[0:4])^x0)
binary.LittleEndian.PutUint32(out[4:8], binary.LittleEndian.Uint32(in[4:8])^x1)
binary.LittleEndian.PutUint32(out[8:12], binary.LittleEndian.Uint32(in[8:12])^x2)
binary.LittleEndian.PutUint32(out[12:16], binary.LittleEndian.Uint32(in[12:16])^x3)
binary.LittleEndian.PutUint32(out[16:20], binary.LittleEndian.Uint32(in[16:20])^x4)
binary.LittleEndian.PutUint32(out[20:24], binary.LittleEndian.Uint32(in[20:24])^x5)
binary.LittleEndian.PutUint32(out[24:28], binary.LittleEndian.Uint32(in[24:28])^x6)
binary.LittleEndian.PutUint32(out[28:32], binary.LittleEndian.Uint32(in[28:32])^x7)
binary.LittleEndian.PutUint32(out[32:36], binary.LittleEndian.Uint32(in[32:36])^x8)
binary.LittleEndian.PutUint32(out[36:40], binary.LittleEndian.Uint32(in[36:40])^x9)
binary.LittleEndian.PutUint32(out[40:44], binary.LittleEndian.Uint32(in[40:44])^x10)
binary.LittleEndian.PutUint32(out[44:48], binary.LittleEndian.Uint32(in[44:48])^x11)
binary.LittleEndian.PutUint32(out[48:52], binary.LittleEndian.Uint32(in[48:52])^x12)
binary.LittleEndian.PutUint32(out[52:56], binary.LittleEndian.Uint32(in[52:56])^x13)
binary.LittleEndian.PutUint32(out[56:60], binary.LittleEndian.Uint32(in[56:60])^x14)
binary.LittleEndian.PutUint32(out[60:64], binary.LittleEndian.Uint32(in[60:64])^x15)
in = in[BlockSize:]
} else {
binary.LittleEndian.PutUint32(out[0:4], x0)
binary.LittleEndian.PutUint32(out[4:8], x1)
binary.LittleEndian.PutUint32(out[8:12], x2)
binary.LittleEndian.PutUint32(out[12:16], x3)
binary.LittleEndian.PutUint32(out[16:20], x4)
binary.LittleEndian.PutUint32(out[20:24], x5)
binary.LittleEndian.PutUint32(out[24:28], x6)
binary.LittleEndian.PutUint32(out[28:32], x7)
binary.LittleEndian.PutUint32(out[32:36], x8)
binary.LittleEndian.PutUint32(out[36:40], x9)
binary.LittleEndian.PutUint32(out[40:44], x10)
binary.LittleEndian.PutUint32(out[44:48], x11)
binary.LittleEndian.PutUint32(out[48:52], x12)
binary.LittleEndian.PutUint32(out[52:56], x13)
binary.LittleEndian.PutUint32(out[56:60], x14)
binary.LittleEndian.PutUint32(out[60:64], x15)
}
out = out[BlockSize:]
}
// Stoping at 2^70 bytes per nonce is the user's responsibility.
ctr := uint64(x[13])<<32 | uint64(x[12])
ctr++
x[12] = uint32(ctr)
x[13] = uint32(ctr >> 32)
}
}
func hChaChaRef(x *[stateSize]uint32, out *[32]byte) {
x0, x1, x2, x3 := sigma0, sigma1, sigma2, sigma3
x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 := x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7], x[8], x[9], x[10], x[11]
for i := chachaRounds; i > 0; i -= 2 {
// quarterround(x, 0, 4, 8, 12)
x0 += x4
x12 ^= x0
x12 = (x12 << 16) | (x12 >> 16)
x8 += x12
x4 ^= x8
x4 = (x4 << 12) | (x4 >> 20)
x0 += x4
x12 ^= x0
x12 = (x12 << 8) | (x12 >> 24)
x8 += x12
x4 ^= x8
x4 = (x4 << 7) | (x4 >> 25)
// quarterround(x, 1, 5, 9, 13)
x1 += x5
x13 ^= x1
x13 = (x13 << 16) | (x13 >> 16)
x9 += x13
x5 ^= x9
x5 = (x5 << 12) | (x5 >> 20)
x1 += x5
x13 ^= x1
x13 = (x13 << 8) | (x13 >> 24)
x9 += x13
x5 ^= x9
x5 = (x5 << 7) | (x5 >> 25)
// quarterround(x, 2, 6, 10, 14)
x2 += x6
x14 ^= x2
x14 = (x14 << 16) | (x14 >> 16)
x10 += x14
x6 ^= x10
x6 = (x6 << 12) | (x6 >> 20)
x2 += x6
x14 ^= x2
x14 = (x14 << 8) | (x14 >> 24)
x10 += x14
x6 ^= x10
x6 = (x6 << 7) | (x6 >> 25)
// quarterround(x, 3, 7, 11, 15)
x3 += x7
x15 ^= x3
x15 = (x15 << 16) | (x15 >> 16)
x11 += x15
x7 ^= x11
x7 = (x7 << 12) | (x7 >> 20)
x3 += x7
x15 ^= x3
x15 = (x15 << 8) | (x15 >> 24)
x11 += x15
x7 ^= x11
x7 = (x7 << 7) | (x7 >> 25)
// quarterround(x, 0, 5, 10, 15)
x0 += x5
x15 ^= x0
x15 = (x15 << 16) | (x15 >> 16)
x10 += x15
x5 ^= x10
x5 = (x5 << 12) | (x5 >> 20)
x0 += x5
x15 ^= x0
x15 = (x15 << 8) | (x15 >> 24)
x10 += x15
x5 ^= x10
x5 = (x5 << 7) | (x5 >> 25)
// quarterround(x, 1, 6, 11, 12)
x1 += x6
x12 ^= x1
x12 = (x12 << 16) | (x12 >> 16)
x11 += x12
x6 ^= x11
x6 = (x6 << 12) | (x6 >> 20)
x1 += x6
x12 ^= x1
x12 = (x12 << 8) | (x12 >> 24)
x11 += x12
x6 ^= x11
x6 = (x6 << 7) | (x6 >> 25)
// quarterround(x, 2, 7, 8, 13)
x2 += x7
x13 ^= x2
x13 = (x13 << 16) | (x13 >> 16)
x8 += x13
x7 ^= x8
x7 = (x7 << 12) | (x7 >> 20)
x2 += x7
x13 ^= x2
x13 = (x13 << 8) | (x13 >> 24)
x8 += x13
x7 ^= x8
x7 = (x7 << 7) | (x7 >> 25)
// quarterround(x, 3, 4, 9, 14)
x3 += x4
x14 ^= x3
x14 = (x14 << 16) | (x14 >> 16)
x9 += x14
x4 ^= x9
x4 = (x4 << 12) | (x4 >> 20)
x3 += x4
x14 ^= x3
x14 = (x14 << 8) | (x14 >> 24)
x9 += x14
x4 ^= x9
x4 = (x4 << 7) | (x4 >> 25)
}
// HChaCha returns x0...x3 | x12...x15, which corresponds to the
// indexes of the ChaCha constant and the indexes of the IV.
if useUnsafe {
outArr := (*[16]uint32)(unsafe.Pointer(&out[0]))
outArr[0] = x0
outArr[1] = x1
outArr[2] = x2
outArr[3] = x3
outArr[4] = x12
outArr[5] = x13
outArr[6] = x14
outArr[7] = x15
} else {
binary.LittleEndian.PutUint32(out[0:4], x0)
binary.LittleEndian.PutUint32(out[4:8], x1)
binary.LittleEndian.PutUint32(out[8:12], x2)
binary.LittleEndian.PutUint32(out[12:16], x3)
binary.LittleEndian.PutUint32(out[16:20], x12)
binary.LittleEndian.PutUint32(out[20:24], x13)
binary.LittleEndian.PutUint32(out[24:28], x14)
binary.LittleEndian.PutUint32(out[28:32], x15)
}
return
}

395
vendor/git.schwanenlied.me/yawning/chacha20.git/chacha20_ref_go19.go generated vendored Normal file
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// chacha20_ref.go - Reference ChaCha20.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to chacha20, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
// +build go1.9
package chacha20
import (
"encoding/binary"
"math"
"math/bits"
"unsafe"
)
func blocksRef(x *[stateSize]uint32, in []byte, out []byte, nrBlocks int, isIetf bool) {
if isIetf {
var totalBlocks uint64
totalBlocks = uint64(x[12]) + uint64(nrBlocks)
if totalBlocks > math.MaxUint32 {
panic("chacha20: Exceeded keystream per nonce limit")
}
}
// This routine ignores x[0]...x[4] in favor the const values since it's
// ever so slightly faster.
for n := 0; n < nrBlocks; n++ {
x0, x1, x2, x3 := sigma0, sigma1, sigma2, sigma3
x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 := x[4], x[5], x[6], x[7], x[8], x[9], x[10], x[11], x[12], x[13], x[14], x[15]
for i := chachaRounds; i > 0; i -= 2 {
// quarterround(x, 0, 4, 8, 12)
x0 += x4
x12 ^= x0
x12 = bits.RotateLeft32(x12, 16)
x8 += x12
x4 ^= x8
x4 = bits.RotateLeft32(x4, 12)
x0 += x4
x12 ^= x0
x12 = bits.RotateLeft32(x12, 8)
x8 += x12
x4 ^= x8
x4 = bits.RotateLeft32(x4, 7)
// quarterround(x, 1, 5, 9, 13)
x1 += x5
x13 ^= x1
x13 = bits.RotateLeft32(x13, 16)
x9 += x13
x5 ^= x9
x5 = bits.RotateLeft32(x5, 12)
x1 += x5
x13 ^= x1
x13 = bits.RotateLeft32(x13, 8)
x9 += x13
x5 ^= x9
x5 = bits.RotateLeft32(x5, 7)
// quarterround(x, 2, 6, 10, 14)
x2 += x6
x14 ^= x2
x14 = bits.RotateLeft32(x14, 16)
x10 += x14
x6 ^= x10
x6 = bits.RotateLeft32(x6, 12)
x2 += x6
x14 ^= x2
x14 = bits.RotateLeft32(x14, 8)
x10 += x14
x6 ^= x10
x6 = bits.RotateLeft32(x6, 7)
// quarterround(x, 3, 7, 11, 15)
x3 += x7
x15 ^= x3
x15 = bits.RotateLeft32(x15, 16)
x11 += x15
x7 ^= x11
x7 = bits.RotateLeft32(x7, 12)
x3 += x7
x15 ^= x3
x15 = bits.RotateLeft32(x15, 8)
x11 += x15
x7 ^= x11
x7 = bits.RotateLeft32(x7, 7)
// quarterround(x, 0, 5, 10, 15)
x0 += x5
x15 ^= x0
x15 = bits.RotateLeft32(x15, 16)
x10 += x15
x5 ^= x10
x5 = bits.RotateLeft32(x5, 12)
x0 += x5
x15 ^= x0
x15 = bits.RotateLeft32(x15, 8)
x10 += x15
x5 ^= x10
x5 = bits.RotateLeft32(x5, 7)
// quarterround(x, 1, 6, 11, 12)
x1 += x6
x12 ^= x1
x12 = bits.RotateLeft32(x12, 16)
x11 += x12
x6 ^= x11
x6 = bits.RotateLeft32(x6, 12)
x1 += x6
x12 ^= x1
x12 = bits.RotateLeft32(x12, 8)
x11 += x12
x6 ^= x11
x6 = bits.RotateLeft32(x6, 7)
// quarterround(x, 2, 7, 8, 13)
x2 += x7
x13 ^= x2
x13 = bits.RotateLeft32(x13, 16)
x8 += x13
x7 ^= x8
x7 = bits.RotateLeft32(x7, 12)
x2 += x7
x13 ^= x2
x13 = bits.RotateLeft32(x13, 8)
x8 += x13
x7 ^= x8
x7 = bits.RotateLeft32(x7, 7)
// quarterround(x, 3, 4, 9, 14)
x3 += x4
x14 ^= x3
x14 = bits.RotateLeft32(x14, 16)
x9 += x14
x4 ^= x9
x4 = bits.RotateLeft32(x4, 12)
x3 += x4
x14 ^= x3
x14 = bits.RotateLeft32(x14, 8)
x9 += x14
x4 ^= x9
x4 = bits.RotateLeft32(x4, 7)
}
// On amd64 at least, this is a rather big boost.
if useUnsafe {
if in != nil {
inArr := (*[16]uint32)(unsafe.Pointer(&in[n*BlockSize]))
outArr := (*[16]uint32)(unsafe.Pointer(&out[n*BlockSize]))
outArr[0] = inArr[0] ^ (x0 + sigma0)
outArr[1] = inArr[1] ^ (x1 + sigma1)
outArr[2] = inArr[2] ^ (x2 + sigma2)
outArr[3] = inArr[3] ^ (x3 + sigma3)
outArr[4] = inArr[4] ^ (x4 + x[4])
outArr[5] = inArr[5] ^ (x5 + x[5])
outArr[6] = inArr[6] ^ (x6 + x[6])
outArr[7] = inArr[7] ^ (x7 + x[7])
outArr[8] = inArr[8] ^ (x8 + x[8])
outArr[9] = inArr[9] ^ (x9 + x[9])
outArr[10] = inArr[10] ^ (x10 + x[10])
outArr[11] = inArr[11] ^ (x11 + x[11])
outArr[12] = inArr[12] ^ (x12 + x[12])
outArr[13] = inArr[13] ^ (x13 + x[13])
outArr[14] = inArr[14] ^ (x14 + x[14])
outArr[15] = inArr[15] ^ (x15 + x[15])
} else {
outArr := (*[16]uint32)(unsafe.Pointer(&out[n*BlockSize]))
outArr[0] = x0 + sigma0
outArr[1] = x1 + sigma1
outArr[2] = x2 + sigma2
outArr[3] = x3 + sigma3
outArr[4] = x4 + x[4]
outArr[5] = x5 + x[5]
outArr[6] = x6 + x[6]
outArr[7] = x7 + x[7]
outArr[8] = x8 + x[8]
outArr[9] = x9 + x[9]
outArr[10] = x10 + x[10]
outArr[11] = x11 + x[11]
outArr[12] = x12 + x[12]
outArr[13] = x13 + x[13]
outArr[14] = x14 + x[14]
outArr[15] = x15 + x[15]
}
} else {
// Slow path, either the architecture cares about alignment, or is not little endian.
x0 += sigma0
x1 += sigma1
x2 += sigma2
x3 += sigma3
x4 += x[4]
x5 += x[5]
x6 += x[6]
x7 += x[7]
x8 += x[8]
x9 += x[9]
x10 += x[10]
x11 += x[11]
x12 += x[12]
x13 += x[13]
x14 += x[14]
x15 += x[15]
if in != nil {
binary.LittleEndian.PutUint32(out[0:4], binary.LittleEndian.Uint32(in[0:4])^x0)
binary.LittleEndian.PutUint32(out[4:8], binary.LittleEndian.Uint32(in[4:8])^x1)
binary.LittleEndian.PutUint32(out[8:12], binary.LittleEndian.Uint32(in[8:12])^x2)
binary.LittleEndian.PutUint32(out[12:16], binary.LittleEndian.Uint32(in[12:16])^x3)
binary.LittleEndian.PutUint32(out[16:20], binary.LittleEndian.Uint32(in[16:20])^x4)
binary.LittleEndian.PutUint32(out[20:24], binary.LittleEndian.Uint32(in[20:24])^x5)
binary.LittleEndian.PutUint32(out[24:28], binary.LittleEndian.Uint32(in[24:28])^x6)
binary.LittleEndian.PutUint32(out[28:32], binary.LittleEndian.Uint32(in[28:32])^x7)
binary.LittleEndian.PutUint32(out[32:36], binary.LittleEndian.Uint32(in[32:36])^x8)
binary.LittleEndian.PutUint32(out[36:40], binary.LittleEndian.Uint32(in[36:40])^x9)
binary.LittleEndian.PutUint32(out[40:44], binary.LittleEndian.Uint32(in[40:44])^x10)
binary.LittleEndian.PutUint32(out[44:48], binary.LittleEndian.Uint32(in[44:48])^x11)
binary.LittleEndian.PutUint32(out[48:52], binary.LittleEndian.Uint32(in[48:52])^x12)
binary.LittleEndian.PutUint32(out[52:56], binary.LittleEndian.Uint32(in[52:56])^x13)
binary.LittleEndian.PutUint32(out[56:60], binary.LittleEndian.Uint32(in[56:60])^x14)
binary.LittleEndian.PutUint32(out[60:64], binary.LittleEndian.Uint32(in[60:64])^x15)
in = in[BlockSize:]
} else {
binary.LittleEndian.PutUint32(out[0:4], x0)
binary.LittleEndian.PutUint32(out[4:8], x1)
binary.LittleEndian.PutUint32(out[8:12], x2)
binary.LittleEndian.PutUint32(out[12:16], x3)
binary.LittleEndian.PutUint32(out[16:20], x4)
binary.LittleEndian.PutUint32(out[20:24], x5)
binary.LittleEndian.PutUint32(out[24:28], x6)
binary.LittleEndian.PutUint32(out[28:32], x7)
binary.LittleEndian.PutUint32(out[32:36], x8)
binary.LittleEndian.PutUint32(out[36:40], x9)
binary.LittleEndian.PutUint32(out[40:44], x10)
binary.LittleEndian.PutUint32(out[44:48], x11)
binary.LittleEndian.PutUint32(out[48:52], x12)
binary.LittleEndian.PutUint32(out[52:56], x13)
binary.LittleEndian.PutUint32(out[56:60], x14)
binary.LittleEndian.PutUint32(out[60:64], x15)
}
out = out[BlockSize:]
}
// Stoping at 2^70 bytes per nonce is the user's responsibility.
ctr := uint64(x[13])<<32 | uint64(x[12])
ctr++
x[12] = uint32(ctr)
x[13] = uint32(ctr >> 32)
}
}
func hChaChaRef(x *[stateSize]uint32, out *[32]byte) {
x0, x1, x2, x3 := sigma0, sigma1, sigma2, sigma3
x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 := x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7], x[8], x[9], x[10], x[11]
for i := chachaRounds; i > 0; i -= 2 {
// quarterround(x, 0, 4, 8, 12)
x0 += x4
x12 ^= x0
x12 = bits.RotateLeft32(x12, 16)
x8 += x12
x4 ^= x8
x4 = bits.RotateLeft32(x4, 12)
x0 += x4
x12 ^= x0
x12 = bits.RotateLeft32(x12, 8)
x8 += x12
x4 ^= x8
x4 = bits.RotateLeft32(x4, 7)
// quarterround(x, 1, 5, 9, 13)
x1 += x5
x13 ^= x1
x13 = bits.RotateLeft32(x13, 16)
x9 += x13
x5 ^= x9
x5 = bits.RotateLeft32(x5, 12)
x1 += x5
x13 ^= x1
x13 = bits.RotateLeft32(x13, 8)
x9 += x13
x5 ^= x9
x5 = bits.RotateLeft32(x5, 7)
// quarterround(x, 2, 6, 10, 14)
x2 += x6
x14 ^= x2
x14 = bits.RotateLeft32(x14, 16)
x10 += x14
x6 ^= x10
x6 = bits.RotateLeft32(x6, 12)
x2 += x6
x14 ^= x2
x14 = bits.RotateLeft32(x14, 8)
x10 += x14
x6 ^= x10
x6 = bits.RotateLeft32(x6, 7)
// quarterround(x, 3, 7, 11, 15)
x3 += x7
x15 ^= x3
x15 = bits.RotateLeft32(x15, 16)
x11 += x15
x7 ^= x11
x7 = bits.RotateLeft32(x7, 12)
x3 += x7
x15 ^= x3
x15 = bits.RotateLeft32(x15, 8)
x11 += x15
x7 ^= x11
x7 = bits.RotateLeft32(x7, 7)
// quarterround(x, 0, 5, 10, 15)
x0 += x5
x15 ^= x0
x15 = bits.RotateLeft32(x15, 16)
x10 += x15
x5 ^= x10
x5 = bits.RotateLeft32(x5, 12)
x0 += x5
x15 ^= x0
x15 = bits.RotateLeft32(x15, 8)
x10 += x15
x5 ^= x10
x5 = bits.RotateLeft32(x5, 7)
// quarterround(x, 1, 6, 11, 12)
x1 += x6
x12 ^= x1
x12 = bits.RotateLeft32(x12, 16)
x11 += x12
x6 ^= x11
x6 = bits.RotateLeft32(x6, 12)
x1 += x6
x12 ^= x1
x12 = bits.RotateLeft32(x12, 8)
x11 += x12
x6 ^= x11
x6 = bits.RotateLeft32(x6, 7)
// quarterround(x, 2, 7, 8, 13)
x2 += x7
x13 ^= x2
x13 = bits.RotateLeft32(x13, 16)
x8 += x13
x7 ^= x8
x7 = bits.RotateLeft32(x7, 12)
x2 += x7
x13 ^= x2
x13 = bits.RotateLeft32(x13, 8)
x8 += x13
x7 ^= x8
x7 = bits.RotateLeft32(x7, 7)
// quarterround(x, 3, 4, 9, 14)
x3 += x4
x14 ^= x3
x14 = bits.RotateLeft32(x14, 16)
x9 += x14
x4 ^= x9
x4 = bits.RotateLeft32(x4, 12)
x3 += x4
x14 ^= x3
x14 = bits.RotateLeft32(x14, 8)
x9 += x14
x4 ^= x9
x4 = bits.RotateLeft32(x4, 7)
}
// HChaCha returns x0...x3 | x12...x15, which corresponds to the
// indexes of the ChaCha constant and the indexes of the IV.
if useUnsafe {
outArr := (*[16]uint32)(unsafe.Pointer(&out[0]))
outArr[0] = x0
outArr[1] = x1
outArr[2] = x2
outArr[3] = x3
outArr[4] = x12
outArr[5] = x13
outArr[6] = x14
outArr[7] = x15
} else {
binary.LittleEndian.PutUint32(out[0:4], x0)
binary.LittleEndian.PutUint32(out[4:8], x1)
binary.LittleEndian.PutUint32(out[8:12], x2)
binary.LittleEndian.PutUint32(out[12:16], x3)
binary.LittleEndian.PutUint32(out[16:20], x12)
binary.LittleEndian.PutUint32(out[20:24], x13)
binary.LittleEndian.PutUint32(out[24:28], x14)
binary.LittleEndian.PutUint32(out[28:32], x15)
}
return
}

2
vendor/git.schwanenlied.me/yawning/kyber.git/.gitignore generated vendored Normal file
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*.swp
*~

122
vendor/git.schwanenlied.me/yawning/kyber.git/LICENSE generated vendored Normal file
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Creative Commons Legal Code
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24
vendor/git.schwanenlied.me/yawning/kyber.git/README.md generated vendored Normal file
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### Kyber - IND-CCA2-secure Key Encapsulation Mechanism
#### Yawning Angel (yawning at schwanenlied dot me)
[![GoDoc](https://godoc.org/git.schwanenlied.me/yawning/kyber.git?status.svg)](https://godoc.org/git.schwanenlied.me/yawning/kyber.git)
This package implements the Kyber IND-CCA2-secure key encapsulation
mechanism (KEM), based on the hardness of solving the learning-with-errors
(LWE) problem over module lattices as submitted to the NIST Post-Quantum
Cryptography project.
This implementation is a port of the Public Domain reference implementation
by Joppe Bos, Léo Ducas, Eike Kiltz , Tancrède Lepoint, Vadim Lyubashevsky,
John Schanck, Peter Schwabe, Gregor Seiler, and Damien Stehlé.
Additionally implementations of Kyber.AKE and Kyber.UAKE as presented in
the Kyber paper are included for users that seek an authenticated key
exchange.
Note that the algorithm is not finalized yet, and may change in a backward
incompatible manner in the future. The designers currently recommend
combining Kyber with an established pre-quantum algorithm like ECDH, and
using the Kyber-768 parameter set.
For more information, see the [project home page](https://pq-crystals.org/kyber/index.shtml).

100
vendor/git.schwanenlied.me/yawning/kyber.git/cbd.go generated vendored Normal file
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// cbd.go - Centered binomial distribution.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
// Load bytes into a 64-bit integer in little-endian order.
func loadLittleEndian(x []byte, bytes int) uint64 {
var r uint64
for i, v := range x[:bytes] {
r |= uint64(v) << (8 * uint(i))
}
return r
}
// Given an array of uniformly random bytes, compute polynomial with
// coefficients distributed according to a centered binomial distribution
// with parameter eta.
func (p *poly) cbd(buf []byte, eta int) {
hardwareAccelImpl.cbdFn(p, buf, eta)
}
func cbdRef(p *poly, buf []byte, eta int) {
switch eta {
case 3:
var a, b [4]uint32
for i := 0; i < kyberN/4; i++ {
t := loadLittleEndian(buf[3*i:], 3)
var d uint32
for j := 0; j < 3; j++ {
d += uint32((t >> uint(j)) & 0x249249)
}
a[0] = d & 0x7
b[0] = (d >> 3) & 0x7
a[1] = (d >> 6) & 0x7
b[1] = (d >> 9) & 0x7
a[2] = (d >> 12) & 0x7
b[2] = (d >> 15) & 0x7
a[3] = (d >> 18) & 0x7
b[3] = (d >> 21)
p.coeffs[4*i+0] = uint16(a[0] + kyberQ - b[0])
p.coeffs[4*i+1] = uint16(a[1] + kyberQ - b[1])
p.coeffs[4*i+2] = uint16(a[2] + kyberQ - b[2])
p.coeffs[4*i+3] = uint16(a[3] + kyberQ - b[3])
}
case 4:
var a, b [4]uint32
for i := 0; i < kyberN/4; i++ {
t := loadLittleEndian(buf[4*i:], 4)
var d uint32
for j := 0; j < 4; j++ {
d += uint32((t >> uint(j)) & 0x11111111)
}
a[0] = d & 0xf
b[0] = (d >> 4) & 0xf
a[1] = (d >> 8) & 0xf
b[1] = (d >> 12) & 0xf
a[2] = (d >> 16) & 0xf
b[2] = (d >> 20) & 0xf
a[3] = (d >> 24) & 0xf
b[3] = (d >> 28)
p.coeffs[4*i+0] = uint16(a[0] + kyberQ - b[0])
p.coeffs[4*i+1] = uint16(a[1] + kyberQ - b[1])
p.coeffs[4*i+2] = uint16(a[2] + kyberQ - b[2])
p.coeffs[4*i+3] = uint16(a[3] + kyberQ - b[3])
}
case 5:
var a, b [4]uint64
for i := 0; i < kyberN/4; i++ {
t := loadLittleEndian(buf[5*i:], 5)
var d uint64
for j := 0; j < 5; j++ {
d += (t >> uint(j)) & 0x0842108421
}
a[0] = d & 0x1f
b[0] = (d >> 5) & 0x1f
a[1] = (d >> 10) & 0x1f
b[1] = (d >> 15) & 0x1f
a[2] = (d >> 20) & 0x1f
b[2] = (d >> 25) & 0x1f
a[3] = (d >> 30) & 0x1f
b[3] = (d >> 35)
p.coeffs[4*i+0] = uint16(a[0] + kyberQ - b[0])
p.coeffs[4*i+1] = uint16(a[1] + kyberQ - b[1])
p.coeffs[4*i+2] = uint16(a[2] + kyberQ - b[2])
p.coeffs[4*i+3] = uint16(a[3] + kyberQ - b[3])
}
default:
panic("kyber: eta must be in {3,4,5}")
}
}

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// doc.go - Kyber godoc extras.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
// Package kyber implements the Kyber IND-CCA2-secure key encapsulation
// mechanism (KEM), based on the hardness of solving the learning-with-errors
// (LWE) problem over module lattices as submitted to the NIST Post-Quantum
// Cryptography project.
//
// This implementation is a port of the Public Domain reference implementation
// by Joppe Bos, Léo Ducas, Eike Kiltz , Tancrède Lepoint, Vadim Lyubashevsky,
// John Schanck, Peter Schwabe, Gregor Seiler, and Damien Stehlé.
//
// Additionally implementations of Kyber.AKE and Kyber.UAKE as presented in
// the Kyber paper are included for users that seek an authenticated key
// exchange.
//
// Note that the algorithm is not finalized yet, and may change in a backward
// incompatible manner in the future. The designers currently recommend
// combining Kyber with an established pre-quantum algorithm like ECDH, and
// using the Kyber-768 parameter set.
//
// For more information, see https://pq-crystals.org/kyber/index.shtml.
package kyber

46
vendor/git.schwanenlied.me/yawning/kyber.git/hwaccel.go generated vendored Normal file
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// hwaccel.go - Hardware acceleration hooks.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
var (
isHardwareAccelerated = false
hardwareAccelImpl = implReference
implReference = &hwaccelImpl{
name: "Reference",
nttFn: nttRef,
invnttFn: invnttRef,
pointwiseAccFn: pointwiseAccRef,
cbdFn: cbdRef,
}
)
type hwaccelImpl struct {
name string
nttFn func(*[kyberN]uint16)
invnttFn func(*[kyberN]uint16)
pointwiseAccFn func(*poly, *polyVec, *polyVec)
cbdFn func(*poly, []byte, int)
}
func forceDisableHardwareAcceleration() {
// This is for the benefit of testing, so that it's possible to test
// all versions that are supported by the host.
isHardwareAccelerated = false
hardwareAccelImpl = implReference
}
// IsHardwareAccelerated returns true iff the Kyber implementation will use
// hardware acceleration (eg: AVX2).
func IsHardwareAccelerated() bool {
return isHardwareAccelerated
}
func init() {
initHardwareAcceleration()
}

256
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// hwaccel_amd64.go - AMD64 optimized routines.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
// +build amd64,!gccgo,!noasm,go1.10
package kyber
var zetasExp = [752]uint16{
3777, 3777, 3777, 3777, 3777, 3777, 3777, 3777, 3777, 3777, 3777, 3777,
3777, 3777, 3777, 3777, 4499, 4499, 4499, 4499, 4499, 4499, 4499, 4499,
4499, 4499, 4499, 4499, 4499, 4499, 4499, 4499, 3625, 3625, 3625, 3625,
3625, 3625, 3625, 3625, 3625, 3625, 3625, 3625, 3625, 3625, 3625, 3625,
3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985, 3985,
3985, 3985, 3985, 3985, 6581, 6581, 6581, 6581, 6581, 6581, 6581, 6581,
6581, 6581, 6581, 6581, 6581, 6581, 6581, 6581, 2456, 2456, 2456, 2456,
2456, 2456, 2456, 2456, 2456, 2456, 2456, 2456, 2456, 2456, 2456, 2456,
2194, 2194, 2194, 2194, 2194, 2194, 2194, 2194, 2194, 2194, 2194, 2194,
2194, 2194, 2194, 2194, 121, 121, 121, 121, 121, 121, 121, 121, 121,
121, 121, 121, 121, 121, 121, 121, 5431, 5431, 5431, 5431, 5431, 5431,
5431, 5431, 5431, 5431, 5431, 5431, 5431, 5431, 5431, 5431, 834, 834,
834, 834, 834, 834, 834, 834, 834, 834, 834, 834, 834, 834, 834, 834,
5186, 5186, 5186, 5186, 5186, 5186, 5186, 5186, 5186, 5186, 5186, 5186,
5186, 5186, 5186, 5186, 5362, 5362, 5362, 5362, 5362, 5362, 5362, 5362,
5362, 5362, 5362, 5362, 5362, 5362, 5362, 5362, 2876, 2876, 2876, 2876,
2876, 2876, 2876, 2876, 2876, 2876, 2876, 2876, 2876, 2876, 2876, 2876,
5980, 5980, 5980, 5980, 5980, 5980, 5980, 5980, 5980, 5980, 5980, 5980,
5980, 5980, 5980, 5980, 1414, 1414, 1414, 1414, 1414, 1414, 1414, 1414,
1414, 1414, 1414, 1414, 1414, 1414, 1414, 1414, 2816, 2816, 2816, 2816,
2816, 2816, 2816, 2816, 5593, 5593, 5593, 5593, 5593, 5593, 5593, 5593,
5444, 5444, 5444, 5444, 5444, 5444, 5444, 5444, 1986, 1986, 1986, 1986,
1986, 1986, 1986, 1986, 6082, 6082, 6082, 6082, 6082, 6082, 6082, 6082,
1993, 1993, 1993, 1993, 1993, 1993, 1993, 1993, 3706, 3706, 3706, 3706,
3706, 3706, 3706, 3706, 5675, 5675, 5675, 5675, 5675, 5675, 5675, 5675,
6156, 6156, 6156, 6156, 6156, 6156, 6156, 6156, 5124, 5124, 5124, 5124,
5124, 5124, 5124, 5124, 1296, 1296, 1296, 1296, 1296, 1296, 1296, 1296,
1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 4851, 4851, 4851, 4851,
4851, 4851, 4851, 4851, 3364, 3364, 3364, 3364, 3364, 3364, 3364, 3364,
617, 617, 617, 617, 617, 617, 617, 617, 1921, 1921, 1921, 1921, 1921,
1921, 1921, 1921, 3992, 3992, 3992, 3992, 5943, 5943, 5943, 5943, 3266,
3266, 3266, 3266, 4081, 4081, 4081, 4081, 810, 810, 810, 810, 1887,
1887, 1887, 1887, 7043, 7043, 7043, 7043, 7674, 7674, 7674, 7674, 7243,
7243, 7243, 7243, 7002, 7002, 7002, 7002, 6376, 6376, 6376, 6376, 5921,
5921, 5921, 5921, 396, 396, 396, 396, 4507, 4507, 4507, 4507, 4126,
4126, 4126, 4126, 5800, 5800, 5800, 5800, 3772, 3772, 3772, 3772, 5146,
5146, 5146, 5146, 5241, 5241, 5241, 5241, 5126, 5126, 5126, 5126, 1535,
1535, 1535, 1535, 7132, 7132, 7132, 7132, 3153, 3153, 3153, 3153, 2310,
2310, 2310, 2310, 6282, 6282, 6282, 6282, 1321, 1321, 1321, 1321, 514,
514, 514, 514, 4725, 4725, 4725, 4725, 7578, 7578, 7578, 7578, 2804,
2804, 2804, 2804, 5638, 5638, 5638, 5638, 6250, 6250, 6250, 6250, 6627,
6627, 1698, 1698, 4225, 4225, 1166, 1166, 2426, 2426, 3831, 3831, 915,
915, 7679, 7679, 4264, 4264, 7487, 7487, 2919, 2919, 2789, 2789, 3405,
3405, 2385, 2385, 5568, 5568, 4949, 4949, 2175, 2175, 373, 373, 3692,
3692, 6951, 6951, 5925, 5925, 3135, 3135, 5290, 5290, 660, 660, 6184,
6184, 2572, 2572, 4536, 4536, 1350, 1350, 5457, 5457, 4093, 4093, 6000,
6000, 2883, 2883, 6291, 6291, 1598, 1598, 3750, 3750, 2762, 2762, 2835,
2835, 2764, 2764, 5448, 5448, 3816, 3816, 6148, 6148, 1464, 1464, 6954,
6954, 1521, 1521, 1386, 1386, 4253, 4253, 6760, 6760, 4938, 4938, 5521,
5521, 2649, 2649, 6822, 6822, 2579, 2579, 1532, 1532, 1919, 1919, 7195,
7195, 404, 404, 6625, 6625, 783, 783, 1799, 1799, 5016, 5016, 3480,
3480, 2133, 2133, 4371, 4371, 6513, 6513, 7664, 3744, 2422, 2001, 1278,
929, 6333, 5451, 7502, 6439, 5622, 6611, 2161, 1649, 2072, 3177, 5610,
1121, 7245, 236, 715, 670, 7023, 6205, 5303, 2767, 3542, 7455, 1203,
1181, 7530, 3887, 1712, 7459, 2786, 7230, 4134, 1779, 6530, 7247, 3568,
3988, 3581, 6095, 1509, 2918, 2339, 6274, 3434, 4131, 2340, 2891, 2998,
4367, 3461, 4962, 5434, 5092, 1144, 1072, 1295, 4866, 3911, 3450, 3781,
5423, 796, 3163, 4473, 7092, 2963, 7557, 3214, 3334, 4315, 3936, 3723,
1931, 7252, 7279, 4273, 83, 6155, 826, 6343, 2345, 5378, 2515, 7039,
5844, 4716, 6890, 370, 293, 3312, 2083, 5992, 6904, 2070, 2262, 6788,
2386, 7493, 6162, 4807, 6277, 1012, 2130, 1441, 2532, 4346, 6597, 4338,
2937, 509, 6278, 2812, 3763, 592, 2005, 3657, 2460, 4004, 3752, 692,
1669, 2167, 4394,
}
var zetasInvExp = [752]uint16{
3287, 5514, 6012, 6989, 3929, 3677, 5221, 4024, 5676, 7089, 3918, 4869,
1403, 7172, 4744, 3343, 1084, 3335, 5149, 6240, 5551, 6669, 1404, 2874,
1519, 188, 5295, 893, 5419, 5611, 777, 1689, 5598, 4369, 7388, 7311,
791, 2965, 1837, 642, 5166, 2303, 5336, 1338, 6855, 1526, 7598, 3408,
402, 429, 5750, 3958, 3745, 3366, 4347, 4467, 124, 4718, 589, 3208,
4518, 6885, 2258, 3900, 4231, 3770, 2815, 6386, 6609, 6537, 2589, 2247,
2719, 4220, 3314, 4683, 4790, 5341, 3550, 4247, 1407, 5342, 4763, 6172,
1586, 4100, 3693, 4113, 434, 1151, 5902, 3547, 451, 4895, 222, 5969,
3794, 151, 6500, 6478, 226, 4139, 4914, 2378, 1476, 658, 7011, 6966,
7445, 436, 6560, 2071, 4504, 5609, 6032, 5520, 1070, 2059, 1242, 179,
2230, 1348, 6752, 6403, 5680, 5259, 3937, 17, 1168, 1168, 3310, 3310,
5548, 5548, 4201, 4201, 2665, 2665, 5882, 5882, 6898, 6898, 1056, 1056,
7277, 7277, 486, 486, 5762, 5762, 6149, 6149, 5102, 5102, 859, 859,
5032, 5032, 2160, 2160, 2743, 2743, 921, 921, 3428, 3428, 6295, 6295,
6160, 6160, 727, 727, 6217, 6217, 1533, 1533, 3865, 3865, 2233, 2233,
4917, 4917, 4846, 4846, 4919, 4919, 3931, 3931, 6083, 6083, 1390, 1390,
4798, 4798, 1681, 1681, 3588, 3588, 2224, 2224, 6331, 6331, 3145, 3145,
5109, 5109, 1497, 1497, 7021, 7021, 2391, 2391, 4546, 4546, 1756, 1756,
730, 730, 3989, 3989, 7308, 7308, 5506, 5506, 2732, 2732, 2113, 2113,
5296, 5296, 4276, 4276, 4892, 4892, 4762, 4762, 194, 194, 3417, 3417, 2,
2, 6766, 6766, 3850, 3850, 5255, 5255, 6515, 6515, 3456, 3456, 5983,
5983, 1054, 1054, 1431, 1431, 1431, 1431, 2043, 2043, 2043, 2043, 4877,
4877, 4877, 4877, 103, 103, 103, 103, 2956, 2956, 2956, 2956, 7167,
7167, 7167, 7167, 6360, 6360, 6360, 6360, 1399, 1399, 1399, 1399, 5371,
5371, 5371, 5371, 4528, 4528, 4528, 4528, 549, 549, 549, 549, 6146,
6146, 6146, 6146, 2555, 2555, 2555, 2555, 2440, 2440, 2440, 2440, 2535,
2535, 2535, 2535, 3909, 3909, 3909, 3909, 1881, 1881, 1881, 1881, 3555,
3555, 3555, 3555, 3174, 3174, 3174, 3174, 7285, 7285, 7285, 7285, 1760,
1760, 1760, 1760, 1305, 1305, 1305, 1305, 679, 679, 679, 679, 438, 438,
438, 438, 7, 7, 7, 7, 638, 638, 638, 638, 5794, 5794, 5794, 5794, 6871,
6871, 6871, 6871, 3600, 3600, 3600, 3600, 4415, 4415, 4415, 4415, 1738,
1738, 1738, 1738, 3689, 3689, 3689, 3689, 5760, 5760, 5760, 5760, 5760,
5760, 5760, 5760, 7064, 7064, 7064, 7064, 7064, 7064, 7064, 7064, 4317,
4317, 4317, 4317, 4317, 4317, 4317, 4317, 2830, 2830, 2830, 2830, 2830,
2830, 2830, 2830, 6198, 6198, 6198, 6198, 6198, 6198, 6198, 6198, 6385,
6385, 6385, 6385, 6385, 6385, 6385, 6385, 2557, 2557, 2557, 2557, 2557,
2557, 2557, 2557, 1525, 1525, 1525, 1525, 1525, 1525, 1525, 1525, 2006,
2006, 2006, 2006, 2006, 2006, 2006, 2006, 3975, 3975, 3975, 3975, 3975,
3975, 3975, 3975, 5688, 5688, 5688, 5688, 5688, 5688, 5688, 5688, 1599,
1599, 1599, 1599, 1599, 1599, 1599, 1599, 5695, 5695, 5695, 5695, 5695,
5695, 5695, 5695, 2237, 2237, 2237, 2237, 2237, 2237, 2237, 2237, 2088,
2088, 2088, 2088, 2088, 2088, 2088, 2088, 4865, 4865, 4865, 4865, 4865,
4865, 4865, 4865, 6267, 6267, 6267, 6267, 6267, 6267, 6267, 6267, 6267,
6267, 6267, 6267, 6267, 6267, 6267, 6267, 1701, 1701, 1701, 1701, 1701,
1701, 1701, 1701, 1701, 1701, 1701, 1701, 1701, 1701, 1701, 1701, 4805,
4805, 4805, 4805, 4805, 4805, 4805, 4805, 4805, 4805, 4805, 4805, 4805,
4805, 4805, 4805, 2319, 2319, 2319, 2319, 2319, 2319, 2319, 2319, 2319,
2319, 2319, 2319, 2319, 2319, 2319, 2319, 2495, 2495, 2495, 2495, 2495,
2495, 2495, 2495, 2495, 2495, 2495, 2495, 2495, 2495, 2495, 2495, 6847,
6847, 6847, 6847, 6847, 6847, 6847, 6847, 6847, 6847, 6847, 6847, 6847,
6847, 6847, 6847, 2250, 2250, 2250, 2250, 2250, 2250, 2250, 2250, 2250,
2250, 2250, 2250, 2250, 2250, 2250, 2250, 7560, 7560, 7560, 7560, 7560,
7560, 7560, 7560, 7560, 7560, 7560, 7560, 7560, 7560, 7560, 7560, 5487,
5487, 5487, 5487, 5487, 5487, 5487, 5487, 5487, 5487, 5487, 5487, 5487,
5487, 5487, 5487, 5225, 5225, 5225, 5225, 5225, 5225, 5225, 5225, 5225,
5225, 5225, 5225, 5225, 5225, 5225, 5225, 1100, 1100, 1100, 1100, 1100,
1100, 1100, 1100, 1100, 1100, 1100, 1100, 1100, 1100, 1100, 1100, 3696,
3696, 3696, 3696, 3696, 3696, 3696, 3696, 3696, 3696, 3696, 3696, 3696,
3696, 3696, 3696, 4056, 4056, 4056, 4056, 4056, 4056, 4056, 4056, 4056,
4056, 4056, 4056, 4056, 4056, 4056, 4056, 3182, 3182, 3182, 3182, 3182,
3182, 3182, 3182, 3182, 3182, 3182, 3182, 3182, 3182, 3182, 3182, 5776,
5776, 5776, 5776, 5776, 5776, 5776, 5776, 5776, 5776, 5776, 5776, 5776,
5776, 5776, 5776,
}
//go:noescape
func cpuidAmd64(cpuidParams *uint32)
//go:noescape
func xgetbv0Amd64(xcrVec *uint32)
//go:noescape
func nttAVX2(inout, zetas *uint16)
//go:noescape
func invnttAVX2(inout, omegas *uint16)
//go:noescape
func pointwiseAccK2AVX2(dst *uint16, a, b **uint16)
//go:noescape
func pointwiseAccK3AVX2(dst *uint16, a, b **uint16)
//go:noescape
func pointwiseAccK4AVX2(dst *uint16, a, b **uint16)
//go:noescape
func cbdEta4AVX2(dst *uint16, buf *byte)
func supportsAVX2() bool {
// https://software.intel.com/en-us/articles/how-to-detect-new-instruction-support-in-the-4th-generation-intel-core-processor-family
const (
osXsaveBit = 1 << 27
avx2Bit = 1 << 5
)
// Check to see if CPUID actually supports the leaf that indicates AVX2.
// CPUID.(EAX=0H, ECX=0H) >= 7
regs := [4]uint32{0x00}
cpuidAmd64(&regs[0])
if regs[0] < 7 {
return false
}
// Check to see if the OS knows how to save/restore XMM/YMM state.
// CPUID.(EAX=01H, ECX=0H):ECX.OSXSAVE[bit 27]==1
regs = [4]uint32{0x01}
cpuidAmd64(&regs[0])
if regs[2]&osXsaveBit == 0 {
return false
}
xcrRegs := [2]uint32{}
xgetbv0Amd64(&xcrRegs[0])
if xcrRegs[0]&6 != 6 {
return false
}
// Check for AVX2 support.
// CPUID.(EAX=07H, ECX=0H):EBX.AVX2[bit 5]==1
regs = [4]uint32{0x07}
cpuidAmd64(&regs[0])
return regs[1]&avx2Bit != 0
}
var implAVX2 = &hwaccelImpl{
name: "AVX2",
nttFn: nttYMM,
invnttFn: invnttYMM,
pointwiseAccFn: pointwiseAccYMM,
cbdFn: cbdYMM,
}
func nttYMM(p *[kyberN]uint16) {
nttAVX2(&p[0], &zetasExp[0])
}
func invnttYMM(a *[kyberN]uint16) {
invnttAVX2(&a[0], &zetasInvExp[0])
}
func pointwiseAccYMM(p *poly, a, b *polyVec) {
// Unlike the C code, a polyVec won't have the polys in contigious
// memory. So each assembly function takes vectors of pointers to
// each polyvec's polys.
//
// Kind of ugly, but it's the price to pay for flexibility...
var aVec, bVec [4]*uint16 // k is in {2,3,4}.
for i := range a.vec {
aVec[i] = &a.vec[i].coeffs[0]
bVec[i] = &b.vec[i].coeffs[0]
}
switch len(a.vec) {
case 2:
pointwiseAccK2AVX2(&p.coeffs[0], &aVec[0], &bVec[0])
case 3:
pointwiseAccK3AVX2(&p.coeffs[0], &aVec[0], &bVec[0])
case 4:
pointwiseAccK4AVX2(&p.coeffs[0], &aVec[0], &bVec[0])
}
}
func cbdYMM(p *poly, buf []byte, eta int) {
switch eta {
case 4:
cbdEta4AVX2(&p.coeffs[0], &buf[0])
default:
cbdRef(p, buf, eta)
}
}
func initHardwareAcceleration() {
if supportsAVX2() {
isHardwareAccelerated = true
hardwareAccelImpl = implAVX2
}
}

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// hwaccel_ref.go - Unaccelerated stubs.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
// +build !amd64 gccgo noasm !go1.10
package kyber
func initHardwareAcceleration() {
forceDisableHardwareAcceleration()
}

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vendor/git.schwanenlied.me/yawning/kyber.git/indcpa.go generated vendored Normal file
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// indcpa.go - Kyber IND-CPA encryption.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
import (
"io"
"golang.org/x/crypto/sha3"
)
// Serialize the public key as concatenation of the compressed and serialized
// vector of polynomials pk and the public seed used to generate the matrix A.
func packPublicKey(r []byte, pk *polyVec, seed []byte) {
pk.compress(r)
copy(r[pk.compressedSize():], seed[:SymSize])
}
// De-serialize and decompress public key from a byte array; approximate
// inverse of packPublicKey.
func unpackPublicKey(pk *polyVec, seed, packedPk []byte) {
pk.decompress(packedPk)
off := pk.compressedSize()
copy(seed, packedPk[off:off+SymSize])
}
// Serialize the ciphertext as concatenation of the compressed and serialized
// vector of polynomials b and the compressed and serialized polynomial v.
func packCiphertext(r []byte, b *polyVec, v *poly) {
b.compress(r)
v.compress(r[b.compressedSize():])
}
// De-serialize and decompress ciphertext from a byte array; approximate
// inverse of packCiphertext.
func unpackCiphertext(b *polyVec, v *poly, c []byte) {
b.decompress(c)
v.decompress(c[b.compressedSize():])
}
// Serialize the secret key.
func packSecretKey(r []byte, sk *polyVec) {
sk.toBytes(r)
}
// De-serialize the secret key; inverse of packSecretKey.
func unpackSecretKey(sk *polyVec, packedSk []byte) {
sk.fromBytes(packedSk)
}
// Deterministically generate matrix A (or the transpose of A) from a seed.
// Entries of the matrix are polynomials that look uniformly random. Performs
// rejection sampling on output of SHAKE-128.
func genMatrix(a []polyVec, seed []byte, transposed bool) {
const (
shake128Rate = 168 // xof.BlockSize() is not a constant.
maxBlocks = 4
)
var buf [shake128Rate * maxBlocks]byte
var extSeed [SymSize + 2]byte
copy(extSeed[:SymSize], seed)
xof := sha3.NewShake128()
for i, v := range a {
for j, p := range v.vec {
if transposed {
extSeed[SymSize] = byte(i)
extSeed[SymSize+1] = byte(j)
} else {
extSeed[SymSize] = byte(j)
extSeed[SymSize+1] = byte(i)
}
xof.Write(extSeed[:])
xof.Read(buf[:])
for ctr, pos, maxPos := 0, 0, len(buf); ctr < kyberN; {
val := (uint16(buf[pos]) | (uint16(buf[pos+1]) << 8)) & 0x1fff
if val < kyberQ {
p.coeffs[ctr] = val
ctr++
}
if pos += 2; pos == maxPos {
// On the unlikely chance 4 blocks is insufficient,
// incrementally squeeze out 1 block at a time.
xof.Read(buf[:shake128Rate])
pos, maxPos = 0, shake128Rate
}
}
xof.Reset()
}
}
}
type indcpaPublicKey struct {
packed []byte
h [32]byte
}
func (pk *indcpaPublicKey) toBytes() []byte {
return pk.packed
}
func (pk *indcpaPublicKey) fromBytes(p *ParameterSet, b []byte) error {
if len(b) != p.indcpaPublicKeySize {
return ErrInvalidKeySize
}
pk.packed = make([]byte, len(b))
copy(pk.packed, b)
pk.h = sha3.Sum256(b)
return nil
}
type indcpaSecretKey struct {
packed []byte
}
func (sk *indcpaSecretKey) fromBytes(p *ParameterSet, b []byte) error {
if len(b) != p.indcpaSecretKeySize {
return ErrInvalidKeySize
}
sk.packed = make([]byte, len(b))
copy(sk.packed, b)
return nil
}
// Generates public and private key for the CPA-secure public-key encryption
// scheme underlying Kyber.
func (p *ParameterSet) indcpaKeyPair(rng io.Reader) (*indcpaPublicKey, *indcpaSecretKey, error) {
buf := make([]byte, SymSize+SymSize)
if _, err := io.ReadFull(rng, buf[:SymSize]); err != nil {
return nil, nil, err
}
sk := &indcpaSecretKey{
packed: make([]byte, p.indcpaSecretKeySize),
}
pk := &indcpaPublicKey{
packed: make([]byte, p.indcpaPublicKeySize),
}
h := sha3.New512()
h.Write(buf[:SymSize])
buf = buf[:0] // Reuse the backing store.
buf = h.Sum(buf)
publicSeed, noiseSeed := buf[:SymSize], buf[SymSize:]
a := p.allocMatrix()
genMatrix(a, publicSeed, false)
var nonce byte
skpv := p.allocPolyVec()
for _, pv := range skpv.vec {
pv.getNoise(noiseSeed, nonce, p.eta)
nonce++
}
skpv.ntt()
e := p.allocPolyVec()
for _, pv := range e.vec {
pv.getNoise(noiseSeed, nonce, p.eta)
nonce++
}
// matrix-vector multiplication
pkpv := p.allocPolyVec()
for i, pv := range pkpv.vec {
pv.pointwiseAcc(&skpv, &a[i])
}
pkpv.invntt()
pkpv.add(&pkpv, &e)
packSecretKey(sk.packed, &skpv)
packPublicKey(pk.packed, &pkpv, publicSeed)
pk.h = sha3.Sum256(pk.packed)
return pk, sk, nil
}
// Encryption function of the CPA-secure public-key encryption scheme
// underlying Kyber.
func (p *ParameterSet) indcpaEncrypt(c, m []byte, pk *indcpaPublicKey, coins []byte) {
var k, v, epp poly
var seed [SymSize]byte
pkpv := p.allocPolyVec()
unpackPublicKey(&pkpv, seed[:], pk.packed)
k.fromMsg(m)
pkpv.ntt()
at := p.allocMatrix()
genMatrix(at, seed[:], true)
var nonce byte
sp := p.allocPolyVec()
for _, pv := range sp.vec {
pv.getNoise(coins, nonce, p.eta)
nonce++
}
sp.ntt()
ep := p.allocPolyVec()
for _, pv := range ep.vec {
pv.getNoise(coins, nonce, p.eta)
nonce++
}
// matrix-vector multiplication
bp := p.allocPolyVec()
for i, pv := range bp.vec {
pv.pointwiseAcc(&sp, &at[i])
}
bp.invntt()
bp.add(&bp, &ep)
v.pointwiseAcc(&pkpv, &sp)
v.invntt()
epp.getNoise(coins, nonce, p.eta) // Don't need to increment nonce.
v.add(&v, &epp)
v.add(&v, &k)
packCiphertext(c, &bp, &v)
}
// Decryption function of the CPA-secure public-key encryption scheme
// underlying Kyber.
func (p *ParameterSet) indcpaDecrypt(m, c []byte, sk *indcpaSecretKey) {
var v, mp poly
skpv, bp := p.allocPolyVec(), p.allocPolyVec()
unpackCiphertext(&bp, &v, c)
unpackSecretKey(&skpv, sk.packed)
bp.ntt()
mp.pointwiseAcc(&skpv, &bp)
mp.invntt()
mp.sub(&mp, &v)
mp.toMsg(m)
}
func (p *ParameterSet) allocMatrix() []polyVec {
m := make([]polyVec, 0, p.k)
for i := 0; i < p.k; i++ {
m = append(m, p.allocPolyVec())
}
return m
}
func (p *ParameterSet) allocPolyVec() polyVec {
vec := make([]*poly, 0, p.k)
for i := 0; i < p.k; i++ {
vec = append(vec, new(poly))
}
return polyVec{vec}
}

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vendor/git.schwanenlied.me/yawning/kyber.git/kem.go generated vendored Normal file
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// kem.go - Kyber key encapsulation mechanism.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
import (
"bytes"
"crypto/subtle"
"errors"
"io"
"golang.org/x/crypto/sha3"
)
var (
// ErrInvalidKeySize is the error returned when a byte serailized key is
// an invalid size.
ErrInvalidKeySize = errors.New("kyber: invalid key size")
// ErrInvalidCipherTextSize is the error thrown via a panic when a byte
// serialized ciphertext is an invalid size.
ErrInvalidCipherTextSize = errors.New("kyber: invalid ciphertext size")
// ErrInvalidPrivateKey is the error returned when a byte serialized
// private key is malformed.
ErrInvalidPrivateKey = errors.New("kyber: invalid private key")
)
// PrivateKey is a Kyber private key.
type PrivateKey struct {
PublicKey
sk *indcpaSecretKey
z []byte
}
// Bytes returns the byte serialization of a PrivateKey.
func (sk *PrivateKey) Bytes() []byte {
p := sk.PublicKey.p
b := make([]byte, 0, p.secretKeySize)
b = append(b, sk.sk.packed...)
b = append(b, sk.PublicKey.pk.packed...)
b = append(b, sk.PublicKey.pk.h[:]...)
b = append(b, sk.z...)
return b
}
// PrivateKeyFromBytes deserializes a byte serialized PrivateKey.
func (p *ParameterSet) PrivateKeyFromBytes(b []byte) (*PrivateKey, error) {
if len(b) != p.secretKeySize {
return nil, ErrInvalidKeySize
}
sk := new(PrivateKey)
sk.sk = new(indcpaSecretKey)
sk.z = make([]byte, SymSize)
sk.PublicKey.pk = new(indcpaPublicKey)
sk.PublicKey.p = p
// De-serialize the public key first.
off := p.indcpaSecretKeySize
if err := sk.PublicKey.pk.fromBytes(p, b[off:off+p.publicKeySize]); err != nil {
return nil, err
}
off += p.publicKeySize
if !bytes.Equal(sk.PublicKey.pk.h[:], b[off:off+SymSize]) {
return nil, ErrInvalidPrivateKey
}
off += SymSize
copy(sk.z, b[off:])
// Then go back to de-serialize the private key.
if err := sk.sk.fromBytes(p, b[:p.indcpaSecretKeySize]); err != nil {
return nil, err
}
return sk, nil
}
// PublicKey is a Kyber public key.
type PublicKey struct {
pk *indcpaPublicKey
p *ParameterSet
}
// Bytes returns the byte serialization of a PublicKey.
func (pk *PublicKey) Bytes() []byte {
return pk.pk.toBytes()
}
// PublicKeyFromBytes deserializes a byte serialized PublicKey.
func (p *ParameterSet) PublicKeyFromBytes(b []byte) (*PublicKey, error) {
pk := &PublicKey{
pk: new(indcpaPublicKey),
p: p,
}
if err := pk.pk.fromBytes(p, b); err != nil {
return nil, err
}
return pk, nil
}
// GenerateKeyPair generates a private and public key parameterized with the
// given ParameterSet.
func (p *ParameterSet) GenerateKeyPair(rng io.Reader) (*PublicKey, *PrivateKey, error) {
kp := new(PrivateKey)
var err error
if kp.PublicKey.pk, kp.sk, err = p.indcpaKeyPair(rng); err != nil {
return nil, nil, err
}
kp.PublicKey.p = p
kp.z = make([]byte, SymSize)
if _, err := io.ReadFull(rng, kp.z); err != nil {
return nil, nil, err
}
return &kp.PublicKey, kp, nil
}
// KEMEncrypt generates cipher text and shared secret via the CCA-secure Kyber
// key encapsulation mechanism.
func (pk *PublicKey) KEMEncrypt(rng io.Reader) (cipherText []byte, sharedSecret []byte, err error) {
var buf [SymSize]byte
if _, err = io.ReadFull(rng, buf[:]); err != nil {
return nil, nil, err
}
buf = sha3.Sum256(buf[:]) // Don't release system RNG output
hKr := sha3.New512()
hKr.Write(buf[:])
hKr.Write(pk.pk.h[:]) // Multitarget countermeasures for coins + contributory KEM
kr := hKr.Sum(nil)
cipherText = make([]byte, pk.p.cipherTextSize)
pk.p.indcpaEncrypt(cipherText, buf[:], pk.pk, kr[SymSize:]) // coins are in kr[SymSize:]
hc := sha3.Sum256(cipherText)
copy(kr[SymSize:], hc[:]) // overwrite coins in kr with H(c)
hSs := sha3.New256()
hSs.Write(kr)
sharedSecret = hSs.Sum(nil) // hash concatenation of pre-k and H(c) to k
return
}
// KEMDecrypt generates shared secret for given cipher text via the CCA-secure
// Kyber key encapsulation mechanism.
//
// On failures, sharedSecret will contain a randomized value. Providing a
// cipher text that is obviously malformed (too large/small) will result in a
// panic.
func (sk *PrivateKey) KEMDecrypt(cipherText []byte) (sharedSecret []byte) {
var buf [2 * SymSize]byte
p := sk.PublicKey.p
if len(cipherText) != p.CipherTextSize() {
panic(ErrInvalidCipherTextSize)
}
p.indcpaDecrypt(buf[:SymSize], cipherText, sk.sk)
copy(buf[SymSize:], sk.PublicKey.pk.h[:]) // Multitarget countermeasure for coins + contributory KEM
kr := sha3.Sum512(buf[:])
cmp := make([]byte, p.cipherTextSize)
p.indcpaEncrypt(cmp, buf[:SymSize], sk.PublicKey.pk, kr[SymSize:]) // coins are in kr[SymSize:]
hc := sha3.Sum256(cipherText)
copy(kr[SymSize:], hc[:]) // overwrite coins in kr with H(c)
fail := subtle.ConstantTimeSelect(subtle.ConstantTimeCompare(cipherText, cmp), 0, 1)
subtle.ConstantTimeCopy(fail, kr[SymSize:], sk.z) // Overwrite pre-k with z on re-encryption failure
h := sha3.New256()
h.Write(kr[:])
sharedSecret = h.Sum(nil)
return
}

249
vendor/git.schwanenlied.me/yawning/kyber.git/kex.go generated vendored Normal file
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// kex.go - Kyber key exchange.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
import (
"errors"
"io"
"golang.org/x/crypto/sha3"
)
var (
// ErrInvalidMessageSize is the error thrown via a panic when a initator
// or responder message is an invalid size.
ErrInvalidMessageSize = errors.New("kyber: invalid message size")
// ErrParameterSetMismatch is the error thrown via a panic when there
// is a mismatch between parameter sets.
ErrParameterSetMismatch = errors.New("kyber: parameter set mismatch")
)
// UAKEInitiatorMessageSize returns the size of the initiator UAKE message
// in bytes.
func (p *ParameterSet) UAKEInitiatorMessageSize() int {
return p.PublicKeySize() + p.CipherTextSize()
}
// UAKEResponderMessageSize returns the size of the responder UAKE message
// in bytes.
func (p *ParameterSet) UAKEResponderMessageSize() int {
return p.CipherTextSize()
}
// UAKEInitiatorState is a initiator UAKE instance. Each instance MUST only
// be used for one key exchange and never reused.
type UAKEInitiatorState struct {
// Message is the UAKE message to send to the responder.
Message []byte
eSk *PrivateKey
tk []byte
}
// Shared generates a shared secret for the given UAKE instance and responder
// message.
//
// On failures, sharedSecret will contain a randomized value. Providing a
// cipher text that is obviously malformed (too large/small) will result in a
// panic.
func (s *UAKEInitiatorState) Shared(recv []byte) (sharedSecret []byte) {
xof := sha3.NewShake256()
var tk []byte
tk = s.eSk.KEMDecrypt(recv)
xof.Write(tk)
xof.Write(s.tk)
sharedSecret = make([]byte, SymSize)
xof.Read(sharedSecret)
return
}
// NewUAKEInitiatorState creates a new initiator UAKE instance.
func (pk *PublicKey) NewUAKEInitiatorState(rng io.Reader) (*UAKEInitiatorState, error) {
s := new(UAKEInitiatorState)
s.Message = make([]byte, 0, pk.p.UAKEInitiatorMessageSize())
var err error
_, s.eSk, err = pk.p.GenerateKeyPair(rng)
if err != nil {
return nil, err
}
s.Message = append(s.Message, s.eSk.PublicKey.Bytes()...)
var ct []byte
ct, s.tk, err = pk.KEMEncrypt(rng)
if err != nil {
return nil, err
}
s.Message = append(s.Message, ct...)
return s, nil
}
// UAKEResponderShared generates a responder message and shared secret given
// a initiator UAKE message.
//
// On failures, sharedSecret will contain a randomized value. Providing a
// cipher text that is obviously malformed (too large/small) will result in a
// panic.
func (sk *PrivateKey) UAKEResponderShared(rng io.Reader, recv []byte) (message, sharedSecret []byte) {
p := sk.PublicKey.p
pkLen := p.PublicKeySize()
// Deserialize the peer's ephemeral public key.
if len(recv) != p.UAKEInitiatorMessageSize() {
panic(ErrInvalidMessageSize)
}
rawPk, ct := recv[:pkLen], recv[pkLen:]
pk, err := p.PublicKeyFromBytes(rawPk)
if err != nil {
panic(err)
}
xof := sha3.NewShake256()
var tk []byte
message, tk, err = pk.KEMEncrypt(rng)
if err != nil {
panic(err)
}
xof.Write(tk)
tk = sk.KEMDecrypt(ct)
xof.Write(tk)
sharedSecret = make([]byte, SymSize)
xof.Read(sharedSecret)
return
}
// AKEInitiatorMessageSize returns the size of the initiator AKE message
// in bytes.
func (p *ParameterSet) AKEInitiatorMessageSize() int {
return p.PublicKeySize() + p.CipherTextSize()
}
// AKEResponderMessageSize returns the size of the responder AKE message
// in bytes.
func (p *ParameterSet) AKEResponderMessageSize() int {
return 2 * p.CipherTextSize()
}
// AKEInitiatorState is a initiator AKE instance. Each instance MUST only be
// used for one key exchange and never reused.
type AKEInitiatorState struct {
// Message is the AKE message to send to the responder.
Message []byte
eSk *PrivateKey
tk []byte
}
// Shared generates a shared secret for the given AKE instance, responder
// message, and long term initiator private key.
//
// On failures sharedSecret will contain a randomized value. Providing a
// malformed responder message, or a private key that uses a different
// ParamterSet than the AKEInitiatorState will result in a panic.
func (s *AKEInitiatorState) Shared(recv []byte, initiatorPrivateKey *PrivateKey) (sharedSecret []byte) {
p := s.eSk.PublicKey.p
if initiatorPrivateKey.PublicKey.p != p {
panic(ErrParameterSetMismatch)
}
if len(recv) != p.AKEResponderMessageSize() {
panic(ErrInvalidMessageSize)
}
ctLen := p.CipherTextSize()
xof := sha3.NewShake256()
var tk []byte
tk = s.eSk.KEMDecrypt(recv[:ctLen])
xof.Write(tk)
tk = initiatorPrivateKey.KEMDecrypt(recv[ctLen:])
xof.Write(tk)
xof.Write(s.tk)
sharedSecret = make([]byte, SymSize)
xof.Read(sharedSecret)
return
}
// NewAKEInitiatorState creates a new initiator AKE instance.
func (pk *PublicKey) NewAKEInitiatorState(rng io.Reader) (*AKEInitiatorState, error) {
s := new(AKEInitiatorState)
// This is identical to the UAKE case, so just reuse the code.
us, err := pk.NewUAKEInitiatorState(rng)
if err != nil {
return nil, err
}
s.Message = us.Message
s.eSk = us.eSk
s.tk = us.tk
return s, nil
}
// AKEResponderShared generates a responder message and shared secret given
// a initiator AKE message and long term initiator public key.
//
// On failures sharedSecret will contain a randomized value. Providing a
// malformed responder message, or a private key that uses a different
// ParamterSet than the AKEInitiatorState will result in a panic.
func (sk *PrivateKey) AKEResponderShared(rng io.Reader, recv []byte, peerPublicKey *PublicKey) (message, sharedSecret []byte) {
p := sk.PublicKey.p
pkLen := p.PublicKeySize()
if peerPublicKey.p != p {
panic(ErrParameterSetMismatch)
}
// Deserialize the peer's ephemeral public key.
if len(recv) != p.AKEInitiatorMessageSize() {
panic(ErrInvalidMessageSize)
}
rawPk, ct := recv[:pkLen], recv[pkLen:]
pk, err := p.PublicKeyFromBytes(rawPk)
if err != nil {
panic(err)
}
message = make([]byte, 0, p.AKEResponderMessageSize())
xof := sha3.NewShake256()
var tk, tmp []byte
tmp, tk, err = pk.KEMEncrypt(rng)
if err != nil {
panic(err)
}
xof.Write(tk)
message = append(message, tmp...)
tmp, tk, err = peerPublicKey.KEMEncrypt(rng)
if err != nil {
panic(err)
}
xof.Write(tk)
message = append(message, tmp...)
tk = sk.KEMDecrypt(ct)
xof.Write(tk)
sharedSecret = make([]byte, SymSize)
xof.Read(sharedSecret)
return
}

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vendor/git.schwanenlied.me/yawning/kyber.git/ntt.go generated vendored Normal file
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// ntt.go - Number-Theoretic Transform.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
// Computes negacyclic number-theoretic transform (NTT) of a polynomial (vector
// of 256 coefficients) in place; inputs assumed to be in normal order, output
// in bitreversed order.
func nttRef(p *[kyberN]uint16) {
var j int
k := 1
for level := 7; level >= 0; level-- {
distance := 1 << uint(level)
for start := 0; start < kyberN; start = j + distance {
zeta := zetas[k]
k++
for j = start; j < start+distance; j++ {
t := montgomeryReduce(uint32(zeta) * uint32(p[j+distance]))
p[j+distance] = barrettReduce(p[j] + 4*kyberQ - t)
if level&1 == 1 { // odd level
p[j] = p[j] + t // Omit reduction (be lazy)
} else {
p[j] = barrettReduce(p[j] + t)
}
}
}
}
}
// Computes inverse of negacyclic number-theoretic transform (NTT) of a
// polynomial (vector of 256 coefficients) in place; inputs assumed to be in
// bitreversed order, output in normal order.
func invnttRef(a *[kyberN]uint16) {
for level := 0; level < 8; level++ {
distance := 1 << uint(level)
for start := 0; start < distance; start++ {
var jTwiddle int
for j := start; j < kyberN-1; j += 2 * distance {
w := uint32(omegasInvBitrevMontgomery[jTwiddle])
jTwiddle++
temp := a[j]
if level&1 == 1 { // odd level
a[j] = barrettReduce(temp + a[j+distance])
} else {
a[j] = temp + a[j+distance] // Omit reduction (be lazy)
}
t := w * (uint32(temp) + 4*kyberQ - uint32(a[j+distance]))
a[j+distance] = montgomeryReduce(t)
}
}
}
for i, v := range psisInvMontgomery {
a[i] = montgomeryReduce(uint32(a[i]) * uint32(v))
}
}

116
vendor/git.schwanenlied.me/yawning/kyber.git/params.go generated vendored Normal file
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// params.go - Kyber parameterization.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
const (
// SymSize is the size of the shared key (and certain internal parameters
// such as hashes and seeds) in bytes.
SymSize = 32
kyberN = 256
kyberQ = 7681
polySize = 416
polyCompressedSize = 96
compressedCoeffSize = 352
)
var (
// Kyber512 is the Kyber-512 parameter set, which aims to provide security
// equivalent to AES-128.
//
// This parameter set has a 1632 byte private key, 736 byte public key,
// and a 800 byte cipher text.
Kyber512 = newParameterSet("Kyber-512", 2)
// Kyber768 is the Kyber-768 parameter set, which aims to provide security
// equivalent to AES-192.
//
// This parameter set has a 2400 byte private key, 1088 byte public key,
// and a 1152 byte cipher text.
Kyber768 = newParameterSet("Kyber-768", 3)
// Kyber1024 is the Kyber-1024 parameter set, which aims to provide
// security equivalent to AES-256.
//
// This parameter set has a 3168 byte private key, 1440 byte public key,
// and a 1504 byte cipher text.
Kyber1024 = newParameterSet("Kyber-1024", 4)
)
// ParameterSet is a Kyber parameter set.
type ParameterSet struct {
name string
k int
eta int
polyVecSize int
polyVecCompressedSize int
indcpaMsgSize int
indcpaPublicKeySize int
indcpaSecretKeySize int
indcpaSize int
publicKeySize int
secretKeySize int
cipherTextSize int
}
// Name returns the name of a given ParameterSet.
func (p *ParameterSet) Name() string {
return p.name
}
// PublicKeySize returns the size of a public key in bytes.
func (p *ParameterSet) PublicKeySize() int {
return p.publicKeySize
}
// PrivateKeySize returns the size of a private key in bytes.
func (p *ParameterSet) PrivateKeySize() int {
return p.secretKeySize
}
// CipherTextSize returns the size of a cipher text in bytes.
func (p *ParameterSet) CipherTextSize() int {
return p.cipherTextSize
}
func newParameterSet(name string, k int) *ParameterSet {
var p ParameterSet
p.name = name
p.k = k
switch k {
case 2:
p.eta = 5
case 3:
p.eta = 4
case 4:
p.eta = 3
default:
panic("kyber: k must be in {2,3,4}")
}
p.polyVecSize = k * polySize
p.polyVecCompressedSize = k * compressedCoeffSize
p.indcpaMsgSize = SymSize
p.indcpaPublicKeySize = p.polyVecCompressedSize + SymSize
p.indcpaSecretKeySize = p.polyVecSize
p.indcpaSize = p.polyVecCompressedSize + polyCompressedSize
p.publicKeySize = p.indcpaPublicKeySize
p.secretKeySize = p.indcpaSecretKeySize + p.indcpaPublicKeySize + 2*SymSize // 32 bytes of additional space to save H(pk)
p.cipherTextSize = p.indcpaSize
return &p
}

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// poly.go - Kyber polynomial.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
import "golang.org/x/crypto/sha3"
// Elements of R_q = Z_q[X]/(X^n + 1). Represents polynomial coeffs[0] +
// X*coeffs[1] + X^2*xoeffs[2] + ... + X^{n-1}*coeffs[n-1].
type poly struct {
coeffs [kyberN]uint16
}
// Compression and subsequent serialization of a polynomial.
func (p *poly) compress(r []byte) {
var t [8]uint32
for i, k := 0, 0; i < kyberN; i, k = i+8, k+3 {
for j := 0; j < 8; j++ {
t[j] = uint32((((freeze(p.coeffs[i+j]) << 3) + kyberQ/2) / kyberQ) & 7)
}
r[k] = byte(t[0] | (t[1] << 3) | (t[2] << 6))
r[k+1] = byte((t[2] >> 2) | (t[3] << 1) | (t[4] << 4) | (t[5] << 7))
r[k+2] = byte((t[5] >> 1) | (t[6] << 2) | (t[7] << 5))
}
}
// De-serialization and subsequent decompression of a polynomial; approximate
// inverse of poly.compress().
func (p *poly) decompress(a []byte) {
for i, off := 0, 0; i < kyberN; i, off = i+8, off+3 {
p.coeffs[i+0] = ((uint16(a[off]&7) * kyberQ) + 4) >> 3
p.coeffs[i+1] = (((uint16(a[off]>>3) & 7) * kyberQ) + 4) >> 3
p.coeffs[i+2] = (((uint16(a[off]>>6) | (uint16(a[off+1]<<2) & 4)) * kyberQ) + 4) >> 3
p.coeffs[i+3] = (((uint16(a[off+1]>>1) & 7) * kyberQ) + 4) >> 3
p.coeffs[i+4] = (((uint16(a[off+1]>>4) & 7) * kyberQ) + 4) >> 3
p.coeffs[i+5] = (((uint16(a[off+1]>>7) | (uint16(a[off+2]<<1) & 6)) * kyberQ) + 4) >> 3
p.coeffs[i+6] = (((uint16(a[off+2]>>2) & 7) * kyberQ) + 4) >> 3
p.coeffs[i+7] = (((uint16(a[off+2] >> 5)) * kyberQ) + 4) >> 3
}
}
// Serialization of a polynomial.
func (p *poly) toBytes(r []byte) {
var t [8]uint16
for i := 0; i < kyberN/8; i++ {
for j := 0; j < 8; j++ {
t[j] = freeze(p.coeffs[8*i+j])
}
r[13*i+0] = byte(t[0] & 0xff)
r[13*i+1] = byte((t[0] >> 8) | ((t[1] & 0x07) << 5))
r[13*i+2] = byte((t[1] >> 3) & 0xff)
r[13*i+3] = byte((t[1] >> 11) | ((t[2] & 0x3f) << 2))
r[13*i+4] = byte((t[2] >> 6) | ((t[3] & 0x01) << 7))
r[13*i+5] = byte((t[3] >> 1) & 0xff)
r[13*i+6] = byte((t[3] >> 9) | ((t[4] & 0x0f) << 4))
r[13*i+7] = byte((t[4] >> 4) & 0xff)
r[13*i+8] = byte((t[4] >> 12) | ((t[5] & 0x7f) << 1))
r[13*i+9] = byte((t[5] >> 7) | ((t[6] & 0x03) << 6))
r[13*i+10] = byte((t[6] >> 2) & 0xff)
r[13*i+11] = byte((t[6] >> 10) | ((t[7] & 0x1f) << 3))
r[13*i+12] = byte(t[7] >> 5)
}
}
// De-serialization of a polynomial; inverse of poly.toBytes().
func (p *poly) fromBytes(a []byte) {
for i := 0; i < kyberN/8; i++ {
p.coeffs[8*i+0] = uint16(a[13*i+0]) | ((uint16(a[13*i+1]) & 0x1f) << 8)
p.coeffs[8*i+1] = (uint16(a[13*i+1]) >> 5) | (uint16(a[13*i+2]) << 3) | ((uint16(a[13*i+3]) & 0x03) << 11)
p.coeffs[8*i+2] = (uint16(a[13*i+3]) >> 2) | ((uint16(a[13*i+4]) & 0x7f) << 6)
p.coeffs[8*i+3] = (uint16(a[13*i+4]) >> 7) | (uint16(a[13*i+5]) << 1) | ((uint16(a[13*i+6]) & 0x0f) << 9)
p.coeffs[8*i+4] = (uint16(a[13*i+6]) >> 4) | (uint16(a[13*i+7]) << 4) | ((uint16(a[13*i+8]) & 0x01) << 12)
p.coeffs[8*i+5] = (uint16(a[13*i+8]) >> 1) | ((uint16(a[13*i+9]) & 0x3f) << 7)
p.coeffs[8*i+6] = (uint16(a[13*i+9]) >> 6) | (uint16(a[13*i+10]) << 2) | ((uint16(a[13*i+11]) & 0x07) << 10)
p.coeffs[8*i+7] = (uint16(a[13*i+11]) >> 3) | (uint16(a[13*i+12]) << 5)
}
}
// Convert 32-byte message to polynomial.
func (p *poly) fromMsg(msg []byte) {
for i, v := range msg[:SymSize] {
for j := 0; j < 8; j++ {
mask := -((uint16(v) >> uint(j)) & 1)
p.coeffs[8*i+j] = mask & ((kyberQ + 1) / 2)
}
}
}
// Convert polynomial to 32-byte message.
func (p *poly) toMsg(msg []byte) {
for i := 0; i < SymSize; i++ {
msg[i] = 0
for j := 0; j < 8; j++ {
t := (((freeze(p.coeffs[8*i+j]) << 1) + kyberQ/2) / kyberQ) & 1
msg[i] |= byte(t << uint(j))
}
}
}
// Sample a polynomial deterministically from a seed and a nonce, with output
// polynomial close to centered binomial distribution with parameter eta.
func (p *poly) getNoise(seed []byte, nonce byte, eta int) {
extSeed := make([]byte, 0, SymSize+1)
extSeed = append(extSeed, seed...)
extSeed = append(extSeed, nonce)
buf := make([]byte, eta*kyberN/4)
sha3.ShakeSum256(buf, extSeed)
p.cbd(buf, eta)
}
// Computes negacyclic number-theoretic transform (NTT) of a polynomial in
// place; inputs assumed to be in normal order, output in bitreversed order.
func (p *poly) ntt() {
hardwareAccelImpl.nttFn(&p.coeffs)
}
// Computes inverse of negacyclic number-theoretic transform (NTT) of a
// polynomial in place; inputs assumed to be in bitreversed order, output in
// normal order.
func (p *poly) invntt() {
hardwareAccelImpl.invnttFn(&p.coeffs)
}
// Add two polynomials.
func (p *poly) add(a, b *poly) {
for i := range p.coeffs {
p.coeffs[i] = barrettReduce(a.coeffs[i] + b.coeffs[i])
}
}
// Subtract two polynomials.
func (p *poly) sub(a, b *poly) {
for i := range p.coeffs {
p.coeffs[i] = barrettReduce(a.coeffs[i] + 3*kyberQ - b.coeffs[i])
}
}

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// polyvec.go - Vector of Kyber polynomials.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
type polyVec struct {
vec []*poly
}
// Compress and serialize vector of polynomials.
func (v *polyVec) compress(r []byte) {
var off int
for _, vec := range v.vec {
for j := 0; j < kyberN/8; j++ {
var t [8]uint16
for k := 0; k < 8; k++ {
t[k] = uint16((((uint32(freeze(vec.coeffs[8*j+k])) << 11) + kyberQ/2) / kyberQ) & 0x7ff)
}
r[off+11*j+0] = byte(t[0] & 0xff)
r[off+11*j+1] = byte((t[0] >> 8) | ((t[1] & 0x1f) << 3))
r[off+11*j+2] = byte((t[1] >> 5) | ((t[2] & 0x03) << 6))
r[off+11*j+3] = byte((t[2] >> 2) & 0xff)
r[off+11*j+4] = byte((t[2] >> 10) | ((t[3] & 0x7f) << 1))
r[off+11*j+5] = byte((t[3] >> 7) | ((t[4] & 0x0f) << 4))
r[off+11*j+6] = byte((t[4] >> 4) | ((t[5] & 0x01) << 7))
r[off+11*j+7] = byte((t[5] >> 1) & 0xff)
r[off+11*j+8] = byte((t[5] >> 9) | ((t[6] & 0x3f) << 2))
r[off+11*j+9] = byte((t[6] >> 6) | ((t[7] & 0x07) << 5))
r[off+11*j+10] = byte((t[7] >> 3))
}
off += compressedCoeffSize
}
}
// De-serialize and decompress vector of polynomials; approximate inverse of
// polyVec.compress().
func (v *polyVec) decompress(a []byte) {
var off int
for _, vec := range v.vec {
for j := 0; j < kyberN/8; j++ {
vec.coeffs[8*j+0] = uint16((((uint32(a[off+11*j+0]) | ((uint32(a[off+11*j+1]) & 0x07) << 8)) * kyberQ) + 1024) >> 11)
vec.coeffs[8*j+1] = uint16(((((uint32(a[off+11*j+1]) >> 3) | ((uint32(a[off+11*j+2]) & 0x3f) << 5)) * kyberQ) + 1024) >> 11)
vec.coeffs[8*j+2] = uint16(((((uint32(a[off+11*j+2]) >> 6) | ((uint32(a[off+11*j+3]) & 0xff) << 2) | ((uint32(a[off+11*j+4]) & 0x01) << 10)) * kyberQ) + 1024) >> 11)
vec.coeffs[8*j+3] = uint16(((((uint32(a[off+11*j+4]) >> 1) | ((uint32(a[off+11*j+5]) & 0x0f) << 7)) * kyberQ) + 1024) >> 11)
vec.coeffs[8*j+4] = uint16(((((uint32(a[off+11*j+5]) >> 4) | ((uint32(a[off+11*j+6]) & 0x7f) << 4)) * kyberQ) + 1024) >> 11)
vec.coeffs[8*j+5] = uint16(((((uint32(a[off+11*j+6]) >> 7) | ((uint32(a[off+11*j+7]) & 0xff) << 1) | ((uint32(a[off+11*j+8]) & 0x03) << 9)) * kyberQ) + 1024) >> 11)
vec.coeffs[8*j+6] = uint16(((((uint32(a[off+11*j+8]) >> 2) | ((uint32(a[off+11*j+9]) & 0x1f) << 6)) * kyberQ) + 1024) >> 11)
vec.coeffs[8*j+7] = uint16(((((uint32(a[off+11*j+9]) >> 5) | ((uint32(a[off+11*j+10]) & 0xff) << 3)) * kyberQ) + 1024) >> 11)
}
off += compressedCoeffSize
}
}
// Serialize vector of polynomials.
func (v *polyVec) toBytes(r []byte) {
for i, p := range v.vec {
p.toBytes(r[i*polySize:])
}
}
// De-serialize vector of polynomials; inverse of polyVec.toBytes().
func (v *polyVec) fromBytes(a []byte) {
for i, p := range v.vec {
p.fromBytes(a[i*polySize:])
}
}
// Apply forward NTT to all elements of a vector of polynomials.
func (v *polyVec) ntt() {
for _, p := range v.vec {
p.ntt()
}
}
// Apply inverse NTT to all elements of a vector of polynomials.
func (v *polyVec) invntt() {
for _, p := range v.vec {
p.invntt()
}
}
// Pointwise multiply elements of a and b and accumulate into p.
func (p *poly) pointwiseAcc(a, b *polyVec) {
hardwareAccelImpl.pointwiseAccFn(p, a, b)
}
// Add vectors of polynomials.
func (v *polyVec) add(a, b *polyVec) {
for i, p := range v.vec {
p.add(a.vec[i], b.vec[i])
}
}
// Get compressed and serialized size in bytes.
func (v *polyVec) compressedSize() int {
return len(v.vec) * compressedCoeffSize
}
func pointwiseAccRef(p *poly, a, b *polyVec) {
for j := 0; j < kyberN; j++ {
t := montgomeryReduce(4613 * uint32(b.vec[0].coeffs[j])) // 4613 = 2^{2*18} % q
p.coeffs[j] = montgomeryReduce(uint32(a.vec[0].coeffs[j]) * uint32(t))
for i := 1; i < len(a.vec); i++ { // len(a.vec) == kyberK
t = montgomeryReduce(4613 * uint32(b.vec[i].coeffs[j]))
p.coeffs[j] += montgomeryReduce(uint32(a.vec[i].coeffs[j]) * uint32(t))
}
p.coeffs[j] = barrettReduce(p.coeffs[j])
}
}

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// precomp.go - Precomputed NTT constants.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
// Precomputed constants for the forward NTT and inverse NTT.
// Computed using Pari/GP as follows:
//
// brv=[0,128,64,192,32,160,96,224,16,144,80,208,48,176,112,240, \
// 8,136,72,200,40,168,104,232,24,152,88,216,56,184,120,248, \
// 4,132,68,196,36,164,100,228,20,148,84,212,52,180,116,244, \
// 12,140,76,204,44,172,108,236,28,156,92,220,60,188,124,252, \
// 2,130,66,194,34,162,98,226,18,146,82,210,50,178,114,242, \
// 10,138,74,202,42,170,106,234,26,154,90,218,58,186,122,250, \
// 6,134,70,198,38,166,102,230,22,150,86,214,54,182,118,246, \
// 14,142,78,206,46,174,110,238,30,158,94,222,62,190,126,254, \
// 1,129,65,193,33,161,97,225,17,145,81,209,49,177,113,241, \
// 9,137,73,201,41,169,105,233,25,153,89,217,57,185,121,249, \
// 5,133,69,197,37,165,101,229,21,149,85,213,53,181,117,245, \
// 13,141,77,205,45,173,109,237,29,157,93,221,61,189,125,253, \
// 3,131,67,195,35,163,99,227,19,147,83,211,51,179,115,243, \
// 11,139,75,203,43,171,107,235,27,155,91,219,59,187,123,251, \
// 7,135,71,199,39,167,103,231,23,151,87,215,55,183,119,247, \
// 15,143,79,207,47,175,111,239,31,159,95,223,63,191,127,255];
//
// q = 7681;
// n = 256;
// mont = Mod(2^18,q);
//
// g=0; for(i=2,q-1,if(znorder(Mod(i,q)) == 2*n, g=Mod(i,q); break))
//
// zetas = lift(vector(n, i, g^(brv[i])*mont))
// omegas_inv_bitrev_montgomery = lift(vector(n/2, i, (g^2)^(-brv[2*(i-1)+1])*mont))
// psis_inv_montgomery = lift(vector(n, i, g^(-(i-1))/n*mont))
var zetas = [kyberN]uint16{
990, 7427, 2634, 6819, 578, 3281, 2143, 1095, 484, 6362, 3336, 5382, 6086, 3823, 877, 5656,
3583, 7010, 6414, 263, 1285, 291, 7143, 7338, 1581, 5134, 5184, 5932, 4042, 5775, 2468, 3,
606, 729, 5383, 962, 3240, 7548, 5129, 7653, 5929, 4965, 2461, 641, 1584, 2666, 1142, 157,
7407, 5222, 5602, 5142, 6140, 5485, 4931, 1559, 2085, 5284, 2056, 3538, 7269, 3535, 7190, 1957,
3465, 6792, 1538, 4664, 2023, 7643, 3660, 7673, 1694, 6905, 3995, 3475, 5939, 1859, 6910, 4434,
1019, 1492, 7087, 4761, 657, 4859, 5798, 2640, 1693, 2607, 2782, 5400, 6466, 1010, 957, 3851,
2121, 6392, 7319, 3367, 3659, 3375, 6430, 7583, 1549, 5856, 4773, 6084, 5544, 1650, 3997, 4390,
6722, 2915, 4245, 2635, 6128, 7676, 5737, 1616, 3457, 3132, 7196, 4702, 6239, 851, 2122, 3009,
7613, 7295, 2007, 323, 5112, 3716, 2289, 6442, 6965, 2713, 7126, 3401, 963, 6596, 607, 5027,
7078, 4484, 5937, 944, 2860, 2680, 5049, 1777, 5850, 3387, 6487, 6777, 4812, 4724, 7077, 186,
6848, 6793, 3463, 5877, 1174, 7116, 3077, 5945, 6591, 590, 6643, 1337, 6036, 3991, 1675, 2053,
6055, 1162, 1679, 3883, 4311, 2106, 6163, 4486, 6374, 5006, 4576, 4288, 5180, 4102, 282, 6119,
7443, 6330, 3184, 4971, 2530, 5325, 4171, 7185, 5175, 5655, 1898, 382, 7211, 43, 5965, 6073,
1730, 332, 1577, 3304, 2329, 1699, 6150, 2379, 5113, 333, 3502, 4517, 1480, 1172, 5567, 651,
925, 4573, 599, 1367, 4109, 1863, 6929, 1605, 3866, 2065, 4048, 839, 5764, 2447, 2022, 3345,
1990, 4067, 2036, 2069, 3567, 7371, 2368, 339, 6947, 2159, 654, 7327, 2768, 6676, 987, 2214,
}
var omegasInvBitrevMontgomery = [kyberN / 2]uint16{
990, 254, 862, 5047, 6586, 5538, 4400, 7103, 2025, 6804, 3858, 1595, 2299, 4345, 1319, 7197,
7678, 5213, 1906, 3639, 1749, 2497, 2547, 6100, 343, 538, 7390, 6396, 7418, 1267, 671, 4098,
5724, 491, 4146, 412, 4143, 5625, 2397, 5596, 6122, 2750, 2196, 1541, 2539, 2079, 2459, 274,
7524, 6539, 5015, 6097, 7040, 5220, 2716, 1752, 28, 2552, 133, 4441, 6719, 2298, 6952, 7075,
4672, 5559, 6830, 1442, 2979, 485, 4549, 4224, 6065, 1944, 5, 1553, 5046, 3436, 4766, 959,
3291, 3684, 6031, 2137, 1597, 2908, 1825, 6132, 98, 1251, 4306, 4022, 4314, 362, 1289, 5560,
3830, 6724, 6671, 1215, 2281, 4899, 5074, 5988, 5041, 1883, 2822, 7024, 2920, 594, 6189, 6662,
3247, 771, 5822, 1742, 4206, 3686, 776, 5987, 8, 4021, 38, 5658, 3017, 6143, 889, 4216,
}
var psisInvMontgomery = [kyberN]uint16{
1024, 4972, 5779, 6907, 4943, 4168, 315, 5580, 90, 497, 1123, 142, 4710, 5527, 2443, 4871,
698, 2489, 2394, 4003, 684, 2241, 2390, 7224, 5072, 2064, 4741, 1687, 6841, 482, 7441, 1235,
2126, 4742, 2802, 5744, 6287, 4933, 699, 3604, 1297, 2127, 5857, 1705, 3868, 3779, 4397, 2177,
159, 622, 2240, 1275, 640, 6948, 4572, 5277, 209, 2605, 1157, 7328, 5817, 3191, 1662, 2009,
4864, 574, 2487, 164, 6197, 4436, 7257, 3462, 4268, 4281, 3414, 4515, 3170, 1290, 2003, 5855,
7156, 6062, 7531, 1732, 3249, 4884, 7512, 3590, 1049, 2123, 1397, 6093, 3691, 6130, 6541, 3946,
6258, 3322, 1788, 4241, 4900, 2309, 1400, 1757, 400, 502, 6698, 2338, 3011, 668, 7444, 4580,
6516, 6795, 2959, 4136, 3040, 2279, 6355, 3943, 2913, 6613, 7416, 4084, 6508, 5556, 4054, 3782,
61, 6567, 2212, 779, 632, 5709, 5667, 4923, 4911, 6893, 4695, 4164, 3536, 2287, 7594, 2848,
3267, 1911, 3128, 546, 1991, 156, 4958, 5531, 6903, 483, 875, 138, 250, 2234, 2266, 7222,
2842, 4258, 812, 6703, 232, 5207, 6650, 2585, 1900, 6225, 4932, 7265, 4701, 3173, 4635, 6393,
227, 7313, 4454, 4284, 6759, 1224, 5223, 1447, 395, 2608, 4502, 4037, 189, 3348, 54, 6443,
2210, 6230, 2826, 1780, 3002, 5995, 1955, 6102, 6045, 3938, 5019, 4417, 1434, 1262, 1507, 5847,
5917, 7157, 7177, 6434, 7537, 741, 4348, 1309, 145, 374, 2236, 4496, 5028, 6771, 6923, 7421,
1978, 1023, 3857, 6876, 1102, 7451, 4704, 6518, 1344, 765, 384, 5705, 1207, 1630, 4734, 1563,
6839, 5933, 1954, 4987, 7142, 5814, 7527, 4953, 7637, 4707, 2182, 5734, 2818, 541, 4097, 5641,
}

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vendor/git.schwanenlied.me/yawning/kyber.git/reduce.go generated vendored Normal file
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// reduce.go - Montgomery, Barret, and Full reduction.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to the software, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package kyber
const (
qinv = 7679 // -inverse_mod(q,2^18)
rlog = 18
)
// Montgomery reduction; given a 32-bit integer a, computes 16-bit integer
// congruent to a * R^-1 mod q, where R=2^18 (see value of rlog).
func montgomeryReduce(a uint32) uint16 {
u := a * qinv
u &= (1 << rlog) - 1
u *= kyberQ
a += u
return uint16(a >> rlog)
}
// Barrett reduction; given a 16-bit integer a, computes 16-bit integer
// congruent to a mod q in {0,...,11768}.
func barrettReduce(a uint16) uint16 {
u := uint32(a >> 13) // ((uint32_t) a * sinv) >> 16
u *= kyberQ
a -= uint16(u)
return a
}
// Full reduction; given a 16-bit integer a, computes unsigned integer a mod q.
func freeze(x uint16) uint16 {
r := barrettReduce(x)
m := r - kyberQ
c := int16(m)
c >>= 15
r = m ^ ((r ^ m) & uint16(c))
return r
}

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vendor/git.schwanenlied.me/yawning/newhope.git/LICENSE generated vendored Normal file
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vendor/git.schwanenlied.me/yawning/newhope.git/batcher.go generated vendored Normal file
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@ -0,0 +1,929 @@
// batcher.go - Constant time polynomial sampler.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
func batcher84(x []uint16) {
// In theory this should probably be inlined.
compareAndSwap := func(x []uint16, i, j int) {
const _5q = 5 * paramQ
var c int32
var t uint16
c = _5q - 1 - int32(x[16*i])
c >>= 31
t = x[16*i] ^ x[16*j]
t &= uint16(c)
x[16*i] ^= t
x[16*j] ^= t
}
compareAndSwap(x, 0, 1)
compareAndSwap(x, 2, 3)
compareAndSwap(x, 0, 2)
compareAndSwap(x, 1, 3)
compareAndSwap(x, 1, 2)
compareAndSwap(x, 4, 5)
compareAndSwap(x, 6, 7)
compareAndSwap(x, 4, 6)
compareAndSwap(x, 5, 7)
compareAndSwap(x, 5, 6)
compareAndSwap(x, 0, 4)
compareAndSwap(x, 2, 6)
compareAndSwap(x, 2, 4)
compareAndSwap(x, 1, 5)
compareAndSwap(x, 3, 7)
compareAndSwap(x, 3, 5)
compareAndSwap(x, 1, 2)
compareAndSwap(x, 3, 4)
compareAndSwap(x, 5, 6)
compareAndSwap(x, 8, 9)
compareAndSwap(x, 10, 11)
compareAndSwap(x, 8, 10)
compareAndSwap(x, 9, 11)
compareAndSwap(x, 9, 10)
compareAndSwap(x, 12, 13)
compareAndSwap(x, 14, 15)
compareAndSwap(x, 12, 14)
compareAndSwap(x, 13, 15)
compareAndSwap(x, 13, 14)
compareAndSwap(x, 8, 12)
compareAndSwap(x, 10, 14)
compareAndSwap(x, 10, 12)
compareAndSwap(x, 9, 13)
compareAndSwap(x, 11, 15)
compareAndSwap(x, 11, 13)
compareAndSwap(x, 9, 10)
compareAndSwap(x, 11, 12)
compareAndSwap(x, 13, 14)
compareAndSwap(x, 0, 8)
compareAndSwap(x, 4, 12)
compareAndSwap(x, 4, 8)
compareAndSwap(x, 2, 10)
compareAndSwap(x, 6, 14)
compareAndSwap(x, 6, 10)
compareAndSwap(x, 2, 4)
compareAndSwap(x, 6, 8)
compareAndSwap(x, 10, 12)
compareAndSwap(x, 1, 9)
compareAndSwap(x, 5, 13)
compareAndSwap(x, 5, 9)
compareAndSwap(x, 3, 11)
compareAndSwap(x, 7, 15)
compareAndSwap(x, 7, 11)
compareAndSwap(x, 3, 5)
compareAndSwap(x, 7, 9)
compareAndSwap(x, 11, 13)
compareAndSwap(x, 1, 2)
compareAndSwap(x, 3, 4)
compareAndSwap(x, 5, 6)
compareAndSwap(x, 7, 8)
compareAndSwap(x, 9, 10)
compareAndSwap(x, 11, 12)
compareAndSwap(x, 13, 14)
compareAndSwap(x, 16, 17)
compareAndSwap(x, 18, 19)
compareAndSwap(x, 16, 18)
compareAndSwap(x, 17, 19)
compareAndSwap(x, 17, 18)
compareAndSwap(x, 20, 21)
compareAndSwap(x, 22, 23)
compareAndSwap(x, 20, 22)
compareAndSwap(x, 21, 23)
compareAndSwap(x, 21, 22)
compareAndSwap(x, 16, 20)
compareAndSwap(x, 18, 22)
compareAndSwap(x, 18, 20)
compareAndSwap(x, 17, 21)
compareAndSwap(x, 19, 23)
compareAndSwap(x, 19, 21)
compareAndSwap(x, 17, 18)
compareAndSwap(x, 19, 20)
compareAndSwap(x, 21, 22)
compareAndSwap(x, 24, 25)
compareAndSwap(x, 26, 27)
compareAndSwap(x, 24, 26)
compareAndSwap(x, 25, 27)
compareAndSwap(x, 25, 26)
compareAndSwap(x, 28, 29)
compareAndSwap(x, 30, 31)
compareAndSwap(x, 28, 30)
compareAndSwap(x, 29, 31)
compareAndSwap(x, 29, 30)
compareAndSwap(x, 24, 28)
compareAndSwap(x, 26, 30)
compareAndSwap(x, 26, 28)
compareAndSwap(x, 25, 29)
compareAndSwap(x, 27, 31)
compareAndSwap(x, 27, 29)
compareAndSwap(x, 25, 26)
compareAndSwap(x, 27, 28)
compareAndSwap(x, 29, 30)
compareAndSwap(x, 16, 24)
compareAndSwap(x, 20, 28)
compareAndSwap(x, 20, 24)
compareAndSwap(x, 18, 26)
compareAndSwap(x, 22, 30)
compareAndSwap(x, 22, 26)
compareAndSwap(x, 18, 20)
compareAndSwap(x, 22, 24)
compareAndSwap(x, 26, 28)
compareAndSwap(x, 17, 25)
compareAndSwap(x, 21, 29)
compareAndSwap(x, 21, 25)
compareAndSwap(x, 19, 27)
compareAndSwap(x, 23, 31)
compareAndSwap(x, 23, 27)
compareAndSwap(x, 19, 21)
compareAndSwap(x, 23, 25)
compareAndSwap(x, 27, 29)
compareAndSwap(x, 17, 18)
compareAndSwap(x, 19, 20)
compareAndSwap(x, 21, 22)
compareAndSwap(x, 23, 24)
compareAndSwap(x, 25, 26)
compareAndSwap(x, 27, 28)
compareAndSwap(x, 29, 30)
compareAndSwap(x, 0, 16)
compareAndSwap(x, 8, 24)
compareAndSwap(x, 8, 16)
compareAndSwap(x, 4, 20)
compareAndSwap(x, 12, 28)
compareAndSwap(x, 12, 20)
compareAndSwap(x, 4, 8)
compareAndSwap(x, 12, 16)
compareAndSwap(x, 20, 24)
compareAndSwap(x, 2, 18)
compareAndSwap(x, 10, 26)
compareAndSwap(x, 10, 18)
compareAndSwap(x, 6, 22)
compareAndSwap(x, 14, 30)
compareAndSwap(x, 14, 22)
compareAndSwap(x, 6, 10)
compareAndSwap(x, 14, 18)
compareAndSwap(x, 22, 26)
compareAndSwap(x, 2, 4)
compareAndSwap(x, 6, 8)
compareAndSwap(x, 10, 12)
compareAndSwap(x, 14, 16)
compareAndSwap(x, 18, 20)
compareAndSwap(x, 22, 24)
compareAndSwap(x, 26, 28)
compareAndSwap(x, 1, 17)
compareAndSwap(x, 9, 25)
compareAndSwap(x, 9, 17)
compareAndSwap(x, 5, 21)
compareAndSwap(x, 13, 29)
compareAndSwap(x, 13, 21)
compareAndSwap(x, 5, 9)
compareAndSwap(x, 13, 17)
compareAndSwap(x, 21, 25)
compareAndSwap(x, 3, 19)
compareAndSwap(x, 11, 27)
compareAndSwap(x, 11, 19)
compareAndSwap(x, 7, 23)
compareAndSwap(x, 15, 31)
compareAndSwap(x, 15, 23)
compareAndSwap(x, 7, 11)
compareAndSwap(x, 15, 19)
compareAndSwap(x, 23, 27)
compareAndSwap(x, 3, 5)
compareAndSwap(x, 7, 9)
compareAndSwap(x, 11, 13)
compareAndSwap(x, 15, 17)
compareAndSwap(x, 19, 21)
compareAndSwap(x, 23, 25)
compareAndSwap(x, 27, 29)
compareAndSwap(x, 1, 2)
compareAndSwap(x, 3, 4)
compareAndSwap(x, 5, 6)
compareAndSwap(x, 7, 8)
compareAndSwap(x, 9, 10)
compareAndSwap(x, 11, 12)
compareAndSwap(x, 13, 14)
compareAndSwap(x, 15, 16)
compareAndSwap(x, 17, 18)
compareAndSwap(x, 19, 20)
compareAndSwap(x, 21, 22)
compareAndSwap(x, 23, 24)
compareAndSwap(x, 25, 26)
compareAndSwap(x, 27, 28)
compareAndSwap(x, 29, 30)
compareAndSwap(x, 32, 33)
compareAndSwap(x, 34, 35)
compareAndSwap(x, 32, 34)
compareAndSwap(x, 33, 35)
compareAndSwap(x, 33, 34)
compareAndSwap(x, 36, 37)
compareAndSwap(x, 38, 39)
compareAndSwap(x, 36, 38)
compareAndSwap(x, 37, 39)
compareAndSwap(x, 37, 38)
compareAndSwap(x, 32, 36)
compareAndSwap(x, 34, 38)
compareAndSwap(x, 34, 36)
compareAndSwap(x, 33, 37)
compareAndSwap(x, 35, 39)
compareAndSwap(x, 35, 37)
compareAndSwap(x, 33, 34)
compareAndSwap(x, 35, 36)
compareAndSwap(x, 37, 38)
compareAndSwap(x, 40, 41)
compareAndSwap(x, 42, 43)
compareAndSwap(x, 40, 42)
compareAndSwap(x, 41, 43)
compareAndSwap(x, 41, 42)
compareAndSwap(x, 44, 45)
compareAndSwap(x, 46, 47)
compareAndSwap(x, 44, 46)
compareAndSwap(x, 45, 47)
compareAndSwap(x, 45, 46)
compareAndSwap(x, 40, 44)
compareAndSwap(x, 42, 46)
compareAndSwap(x, 42, 44)
compareAndSwap(x, 41, 45)
compareAndSwap(x, 43, 47)
compareAndSwap(x, 43, 45)
compareAndSwap(x, 41, 42)
compareAndSwap(x, 43, 44)
compareAndSwap(x, 45, 46)
compareAndSwap(x, 32, 40)
compareAndSwap(x, 36, 44)
compareAndSwap(x, 36, 40)
compareAndSwap(x, 34, 42)
compareAndSwap(x, 38, 46)
compareAndSwap(x, 38, 42)
compareAndSwap(x, 34, 36)
compareAndSwap(x, 38, 40)
compareAndSwap(x, 42, 44)
compareAndSwap(x, 33, 41)
compareAndSwap(x, 37, 45)
compareAndSwap(x, 37, 41)
compareAndSwap(x, 35, 43)
compareAndSwap(x, 39, 47)
compareAndSwap(x, 39, 43)
compareAndSwap(x, 35, 37)
compareAndSwap(x, 39, 41)
compareAndSwap(x, 43, 45)
compareAndSwap(x, 33, 34)
compareAndSwap(x, 35, 36)
compareAndSwap(x, 37, 38)
compareAndSwap(x, 39, 40)
compareAndSwap(x, 41, 42)
compareAndSwap(x, 43, 44)
compareAndSwap(x, 45, 46)
compareAndSwap(x, 48, 49)
compareAndSwap(x, 50, 51)
compareAndSwap(x, 48, 50)
compareAndSwap(x, 49, 51)
compareAndSwap(x, 49, 50)
compareAndSwap(x, 52, 53)
compareAndSwap(x, 54, 55)
compareAndSwap(x, 52, 54)
compareAndSwap(x, 53, 55)
compareAndSwap(x, 53, 54)
compareAndSwap(x, 48, 52)
compareAndSwap(x, 50, 54)
compareAndSwap(x, 50, 52)
compareAndSwap(x, 49, 53)
compareAndSwap(x, 51, 55)
compareAndSwap(x, 51, 53)
compareAndSwap(x, 49, 50)
compareAndSwap(x, 51, 52)
compareAndSwap(x, 53, 54)
compareAndSwap(x, 56, 57)
compareAndSwap(x, 58, 59)
compareAndSwap(x, 56, 58)
compareAndSwap(x, 57, 59)
compareAndSwap(x, 57, 58)
compareAndSwap(x, 60, 61)
compareAndSwap(x, 62, 63)
compareAndSwap(x, 60, 62)
compareAndSwap(x, 61, 63)
compareAndSwap(x, 61, 62)
compareAndSwap(x, 56, 60)
compareAndSwap(x, 58, 62)
compareAndSwap(x, 58, 60)
compareAndSwap(x, 57, 61)
compareAndSwap(x, 59, 63)
compareAndSwap(x, 59, 61)
compareAndSwap(x, 57, 58)
compareAndSwap(x, 59, 60)
compareAndSwap(x, 61, 62)
compareAndSwap(x, 48, 56)
compareAndSwap(x, 52, 60)
compareAndSwap(x, 52, 56)
compareAndSwap(x, 50, 58)
compareAndSwap(x, 54, 62)
compareAndSwap(x, 54, 58)
compareAndSwap(x, 50, 52)
compareAndSwap(x, 54, 56)
compareAndSwap(x, 58, 60)
compareAndSwap(x, 49, 57)
compareAndSwap(x, 53, 61)
compareAndSwap(x, 53, 57)
compareAndSwap(x, 51, 59)
compareAndSwap(x, 55, 63)
compareAndSwap(x, 55, 59)
compareAndSwap(x, 51, 53)
compareAndSwap(x, 55, 57)
compareAndSwap(x, 59, 61)
compareAndSwap(x, 49, 50)
compareAndSwap(x, 51, 52)
compareAndSwap(x, 53, 54)
compareAndSwap(x, 55, 56)
compareAndSwap(x, 57, 58)
compareAndSwap(x, 59, 60)
compareAndSwap(x, 61, 62)
compareAndSwap(x, 32, 48)
compareAndSwap(x, 40, 56)
compareAndSwap(x, 40, 48)
compareAndSwap(x, 36, 52)
compareAndSwap(x, 44, 60)
compareAndSwap(x, 44, 52)
compareAndSwap(x, 36, 40)
compareAndSwap(x, 44, 48)
compareAndSwap(x, 52, 56)
compareAndSwap(x, 34, 50)
compareAndSwap(x, 42, 58)
compareAndSwap(x, 42, 50)
compareAndSwap(x, 38, 54)
compareAndSwap(x, 46, 62)
compareAndSwap(x, 46, 54)
compareAndSwap(x, 38, 42)
compareAndSwap(x, 46, 50)
compareAndSwap(x, 54, 58)
compareAndSwap(x, 34, 36)
compareAndSwap(x, 38, 40)
compareAndSwap(x, 42, 44)
compareAndSwap(x, 46, 48)
compareAndSwap(x, 50, 52)
compareAndSwap(x, 54, 56)
compareAndSwap(x, 58, 60)
compareAndSwap(x, 33, 49)
compareAndSwap(x, 41, 57)
compareAndSwap(x, 41, 49)
compareAndSwap(x, 37, 53)
compareAndSwap(x, 45, 61)
compareAndSwap(x, 45, 53)
compareAndSwap(x, 37, 41)
compareAndSwap(x, 45, 49)
compareAndSwap(x, 53, 57)
compareAndSwap(x, 35, 51)
compareAndSwap(x, 43, 59)
compareAndSwap(x, 43, 51)
compareAndSwap(x, 39, 55)
compareAndSwap(x, 47, 63)
compareAndSwap(x, 47, 55)
compareAndSwap(x, 39, 43)
compareAndSwap(x, 47, 51)
compareAndSwap(x, 55, 59)
compareAndSwap(x, 35, 37)
compareAndSwap(x, 39, 41)
compareAndSwap(x, 43, 45)
compareAndSwap(x, 47, 49)
compareAndSwap(x, 51, 53)
compareAndSwap(x, 55, 57)
compareAndSwap(x, 59, 61)
compareAndSwap(x, 33, 34)
compareAndSwap(x, 35, 36)
compareAndSwap(x, 37, 38)
compareAndSwap(x, 39, 40)
compareAndSwap(x, 41, 42)
compareAndSwap(x, 43, 44)
compareAndSwap(x, 45, 46)
compareAndSwap(x, 47, 48)
compareAndSwap(x, 49, 50)
compareAndSwap(x, 51, 52)
compareAndSwap(x, 53, 54)
compareAndSwap(x, 55, 56)
compareAndSwap(x, 57, 58)
compareAndSwap(x, 59, 60)
compareAndSwap(x, 61, 62)
compareAndSwap(x, 0, 32)
compareAndSwap(x, 16, 48)
compareAndSwap(x, 16, 32)
compareAndSwap(x, 8, 40)
compareAndSwap(x, 24, 56)
compareAndSwap(x, 24, 40)
compareAndSwap(x, 8, 16)
compareAndSwap(x, 24, 32)
compareAndSwap(x, 40, 48)
compareAndSwap(x, 4, 36)
compareAndSwap(x, 20, 52)
compareAndSwap(x, 20, 36)
compareAndSwap(x, 12, 44)
compareAndSwap(x, 28, 60)
compareAndSwap(x, 28, 44)
compareAndSwap(x, 12, 20)
compareAndSwap(x, 28, 36)
compareAndSwap(x, 44, 52)
compareAndSwap(x, 4, 8)
compareAndSwap(x, 12, 16)
compareAndSwap(x, 20, 24)
compareAndSwap(x, 28, 32)
compareAndSwap(x, 36, 40)
compareAndSwap(x, 44, 48)
compareAndSwap(x, 52, 56)
compareAndSwap(x, 2, 34)
compareAndSwap(x, 18, 50)
compareAndSwap(x, 18, 34)
compareAndSwap(x, 10, 42)
compareAndSwap(x, 26, 58)
compareAndSwap(x, 26, 42)
compareAndSwap(x, 10, 18)
compareAndSwap(x, 26, 34)
compareAndSwap(x, 42, 50)
compareAndSwap(x, 6, 38)
compareAndSwap(x, 22, 54)
compareAndSwap(x, 22, 38)
compareAndSwap(x, 14, 46)
compareAndSwap(x, 30, 62)
compareAndSwap(x, 30, 46)
compareAndSwap(x, 14, 22)
compareAndSwap(x, 30, 38)
compareAndSwap(x, 46, 54)
compareAndSwap(x, 6, 10)
compareAndSwap(x, 14, 18)
compareAndSwap(x, 22, 26)
compareAndSwap(x, 30, 34)
compareAndSwap(x, 38, 42)
compareAndSwap(x, 46, 50)
compareAndSwap(x, 54, 58)
compareAndSwap(x, 2, 4)
compareAndSwap(x, 6, 8)
compareAndSwap(x, 10, 12)
compareAndSwap(x, 14, 16)
compareAndSwap(x, 18, 20)
compareAndSwap(x, 22, 24)
compareAndSwap(x, 26, 28)
compareAndSwap(x, 30, 32)
compareAndSwap(x, 34, 36)
compareAndSwap(x, 38, 40)
compareAndSwap(x, 42, 44)
compareAndSwap(x, 46, 48)
compareAndSwap(x, 50, 52)
compareAndSwap(x, 54, 56)
compareAndSwap(x, 58, 60)
compareAndSwap(x, 1, 33)
compareAndSwap(x, 17, 49)
compareAndSwap(x, 17, 33)
compareAndSwap(x, 9, 41)
compareAndSwap(x, 25, 57)
compareAndSwap(x, 25, 41)
compareAndSwap(x, 9, 17)
compareAndSwap(x, 25, 33)
compareAndSwap(x, 41, 49)
compareAndSwap(x, 5, 37)
compareAndSwap(x, 21, 53)
compareAndSwap(x, 21, 37)
compareAndSwap(x, 13, 45)
compareAndSwap(x, 29, 61)
compareAndSwap(x, 29, 45)
compareAndSwap(x, 13, 21)
compareAndSwap(x, 29, 37)
compareAndSwap(x, 45, 53)
compareAndSwap(x, 5, 9)
compareAndSwap(x, 13, 17)
compareAndSwap(x, 21, 25)
compareAndSwap(x, 29, 33)
compareAndSwap(x, 37, 41)
compareAndSwap(x, 45, 49)
compareAndSwap(x, 53, 57)
compareAndSwap(x, 3, 35)
compareAndSwap(x, 19, 51)
compareAndSwap(x, 19, 35)
compareAndSwap(x, 11, 43)
compareAndSwap(x, 27, 59)
compareAndSwap(x, 27, 43)
compareAndSwap(x, 11, 19)
compareAndSwap(x, 27, 35)
compareAndSwap(x, 43, 51)
compareAndSwap(x, 7, 39)
compareAndSwap(x, 23, 55)
compareAndSwap(x, 23, 39)
compareAndSwap(x, 15, 47)
compareAndSwap(x, 31, 63)
compareAndSwap(x, 31, 47)
compareAndSwap(x, 15, 23)
compareAndSwap(x, 31, 39)
compareAndSwap(x, 47, 55)
compareAndSwap(x, 7, 11)
compareAndSwap(x, 15, 19)
compareAndSwap(x, 23, 27)
compareAndSwap(x, 31, 35)
compareAndSwap(x, 39, 43)
compareAndSwap(x, 47, 51)
compareAndSwap(x, 55, 59)
compareAndSwap(x, 3, 5)
compareAndSwap(x, 7, 9)
compareAndSwap(x, 11, 13)
compareAndSwap(x, 15, 17)
compareAndSwap(x, 19, 21)
compareAndSwap(x, 23, 25)
compareAndSwap(x, 27, 29)
compareAndSwap(x, 31, 33)
compareAndSwap(x, 35, 37)
compareAndSwap(x, 39, 41)
compareAndSwap(x, 43, 45)
compareAndSwap(x, 47, 49)
compareAndSwap(x, 51, 53)
compareAndSwap(x, 55, 57)
compareAndSwap(x, 59, 61)
compareAndSwap(x, 1, 2)
compareAndSwap(x, 3, 4)
compareAndSwap(x, 5, 6)
compareAndSwap(x, 7, 8)
compareAndSwap(x, 9, 10)
compareAndSwap(x, 11, 12)
compareAndSwap(x, 13, 14)
compareAndSwap(x, 15, 16)
compareAndSwap(x, 17, 18)
compareAndSwap(x, 19, 20)
compareAndSwap(x, 21, 22)
compareAndSwap(x, 23, 24)
compareAndSwap(x, 25, 26)
compareAndSwap(x, 27, 28)
compareAndSwap(x, 29, 30)
compareAndSwap(x, 31, 32)
compareAndSwap(x, 33, 34)
compareAndSwap(x, 35, 36)
compareAndSwap(x, 37, 38)
compareAndSwap(x, 39, 40)
compareAndSwap(x, 41, 42)
compareAndSwap(x, 43, 44)
compareAndSwap(x, 45, 46)
compareAndSwap(x, 47, 48)
compareAndSwap(x, 49, 50)
compareAndSwap(x, 51, 52)
compareAndSwap(x, 53, 54)
compareAndSwap(x, 55, 56)
compareAndSwap(x, 57, 58)
compareAndSwap(x, 59, 60)
compareAndSwap(x, 61, 62)
compareAndSwap(x, 64, 65)
compareAndSwap(x, 66, 67)
compareAndSwap(x, 64, 66)
compareAndSwap(x, 65, 67)
compareAndSwap(x, 65, 66)
compareAndSwap(x, 68, 69)
compareAndSwap(x, 70, 71)
compareAndSwap(x, 68, 70)
compareAndSwap(x, 69, 71)
compareAndSwap(x, 69, 70)
compareAndSwap(x, 64, 68)
compareAndSwap(x, 66, 70)
compareAndSwap(x, 66, 68)
compareAndSwap(x, 65, 69)
compareAndSwap(x, 67, 71)
compareAndSwap(x, 67, 69)
compareAndSwap(x, 65, 66)
compareAndSwap(x, 67, 68)
compareAndSwap(x, 69, 70)
compareAndSwap(x, 72, 73)
compareAndSwap(x, 74, 75)
compareAndSwap(x, 72, 74)
compareAndSwap(x, 73, 75)
compareAndSwap(x, 73, 74)
compareAndSwap(x, 76, 77)
compareAndSwap(x, 78, 79)
compareAndSwap(x, 76, 78)
compareAndSwap(x, 77, 79)
compareAndSwap(x, 77, 78)
compareAndSwap(x, 72, 76)
compareAndSwap(x, 74, 78)
compareAndSwap(x, 74, 76)
compareAndSwap(x, 73, 77)
compareAndSwap(x, 75, 79)
compareAndSwap(x, 75, 77)
compareAndSwap(x, 73, 74)
compareAndSwap(x, 75, 76)
compareAndSwap(x, 77, 78)
compareAndSwap(x, 64, 72)
compareAndSwap(x, 68, 76)
compareAndSwap(x, 68, 72)
compareAndSwap(x, 66, 74)
compareAndSwap(x, 70, 78)
compareAndSwap(x, 70, 74)
compareAndSwap(x, 66, 68)
compareAndSwap(x, 70, 72)
compareAndSwap(x, 74, 76)
compareAndSwap(x, 65, 73)
compareAndSwap(x, 69, 77)
compareAndSwap(x, 69, 73)
compareAndSwap(x, 67, 75)
compareAndSwap(x, 71, 79)
compareAndSwap(x, 71, 75)
compareAndSwap(x, 67, 69)
compareAndSwap(x, 71, 73)
compareAndSwap(x, 75, 77)
compareAndSwap(x, 65, 66)
compareAndSwap(x, 67, 68)
compareAndSwap(x, 69, 70)
compareAndSwap(x, 71, 72)
compareAndSwap(x, 73, 74)
compareAndSwap(x, 75, 76)
compareAndSwap(x, 77, 78)
compareAndSwap(x, 80, 81)
compareAndSwap(x, 82, 83)
compareAndSwap(x, 80, 82)
compareAndSwap(x, 81, 83)
compareAndSwap(x, 81, 82)
compareAndSwap(x, 81, 82)
compareAndSwap(x, 81, 82)
compareAndSwap(x, 64, 80)
compareAndSwap(x, 72, 80)
compareAndSwap(x, 68, 72)
compareAndSwap(x, 76, 80)
compareAndSwap(x, 66, 82)
compareAndSwap(x, 74, 82)
compareAndSwap(x, 70, 74)
compareAndSwap(x, 78, 82)
compareAndSwap(x, 66, 68)
compareAndSwap(x, 70, 72)
compareAndSwap(x, 74, 76)
compareAndSwap(x, 78, 80)
compareAndSwap(x, 65, 81)
compareAndSwap(x, 73, 81)
compareAndSwap(x, 69, 73)
compareAndSwap(x, 77, 81)
compareAndSwap(x, 67, 83)
compareAndSwap(x, 75, 83)
compareAndSwap(x, 71, 75)
compareAndSwap(x, 79, 83)
compareAndSwap(x, 67, 69)
compareAndSwap(x, 71, 73)
compareAndSwap(x, 75, 77)
compareAndSwap(x, 79, 81)
compareAndSwap(x, 65, 66)
compareAndSwap(x, 67, 68)
compareAndSwap(x, 69, 70)
compareAndSwap(x, 71, 72)
compareAndSwap(x, 73, 74)
compareAndSwap(x, 75, 76)
compareAndSwap(x, 77, 78)
compareAndSwap(x, 79, 80)
compareAndSwap(x, 81, 82)
compareAndSwap(x, 72, 80)
compareAndSwap(x, 68, 72)
compareAndSwap(x, 76, 80)
compareAndSwap(x, 74, 82)
compareAndSwap(x, 70, 74)
compareAndSwap(x, 78, 82)
compareAndSwap(x, 66, 68)
compareAndSwap(x, 70, 72)
compareAndSwap(x, 74, 76)
compareAndSwap(x, 78, 80)
compareAndSwap(x, 73, 81)
compareAndSwap(x, 69, 73)
compareAndSwap(x, 77, 81)
compareAndSwap(x, 75, 83)
compareAndSwap(x, 71, 75)
compareAndSwap(x, 79, 83)
compareAndSwap(x, 67, 69)
compareAndSwap(x, 71, 73)
compareAndSwap(x, 75, 77)
compareAndSwap(x, 79, 81)
compareAndSwap(x, 65, 66)
compareAndSwap(x, 67, 68)
compareAndSwap(x, 69, 70)
compareAndSwap(x, 71, 72)
compareAndSwap(x, 73, 74)
compareAndSwap(x, 75, 76)
compareAndSwap(x, 77, 78)
compareAndSwap(x, 79, 80)
compareAndSwap(x, 81, 82)
compareAndSwap(x, 0, 64)
compareAndSwap(x, 32, 64)
compareAndSwap(x, 16, 80)
compareAndSwap(x, 48, 80)
compareAndSwap(x, 16, 32)
compareAndSwap(x, 48, 64)
compareAndSwap(x, 8, 72)
compareAndSwap(x, 40, 72)
compareAndSwap(x, 24, 40)
compareAndSwap(x, 56, 72)
compareAndSwap(x, 8, 16)
compareAndSwap(x, 24, 32)
compareAndSwap(x, 40, 48)
compareAndSwap(x, 56, 64)
compareAndSwap(x, 72, 80)
compareAndSwap(x, 4, 68)
compareAndSwap(x, 36, 68)
compareAndSwap(x, 20, 36)
compareAndSwap(x, 52, 68)
compareAndSwap(x, 12, 76)
compareAndSwap(x, 44, 76)
compareAndSwap(x, 28, 44)
compareAndSwap(x, 60, 76)
compareAndSwap(x, 12, 20)
compareAndSwap(x, 28, 36)
compareAndSwap(x, 44, 52)
compareAndSwap(x, 60, 68)
compareAndSwap(x, 4, 8)
compareAndSwap(x, 12, 16)
compareAndSwap(x, 20, 24)
compareAndSwap(x, 28, 32)
compareAndSwap(x, 36, 40)
compareAndSwap(x, 44, 48)
compareAndSwap(x, 52, 56)
compareAndSwap(x, 60, 64)
compareAndSwap(x, 68, 72)
compareAndSwap(x, 76, 80)
compareAndSwap(x, 2, 66)
compareAndSwap(x, 34, 66)
compareAndSwap(x, 18, 82)
compareAndSwap(x, 50, 82)
compareAndSwap(x, 18, 34)
compareAndSwap(x, 50, 66)
compareAndSwap(x, 10, 74)
compareAndSwap(x, 42, 74)
compareAndSwap(x, 26, 42)
compareAndSwap(x, 58, 74)
compareAndSwap(x, 10, 18)
compareAndSwap(x, 26, 34)
compareAndSwap(x, 42, 50)
compareAndSwap(x, 58, 66)
compareAndSwap(x, 74, 82)
compareAndSwap(x, 6, 70)
compareAndSwap(x, 38, 70)
compareAndSwap(x, 22, 38)
compareAndSwap(x, 54, 70)
compareAndSwap(x, 14, 78)
compareAndSwap(x, 46, 78)
compareAndSwap(x, 30, 46)
compareAndSwap(x, 62, 78)
compareAndSwap(x, 14, 22)
compareAndSwap(x, 30, 38)
compareAndSwap(x, 46, 54)
compareAndSwap(x, 62, 70)
compareAndSwap(x, 6, 10)
compareAndSwap(x, 14, 18)
compareAndSwap(x, 22, 26)
compareAndSwap(x, 30, 34)
compareAndSwap(x, 38, 42)
compareAndSwap(x, 46, 50)
compareAndSwap(x, 54, 58)
compareAndSwap(x, 62, 66)
compareAndSwap(x, 70, 74)
compareAndSwap(x, 78, 82)
compareAndSwap(x, 2, 4)
compareAndSwap(x, 6, 8)
compareAndSwap(x, 10, 12)
compareAndSwap(x, 14, 16)
compareAndSwap(x, 18, 20)
compareAndSwap(x, 22, 24)
compareAndSwap(x, 26, 28)
compareAndSwap(x, 30, 32)
compareAndSwap(x, 34, 36)
compareAndSwap(x, 38, 40)
compareAndSwap(x, 42, 44)
compareAndSwap(x, 46, 48)
compareAndSwap(x, 50, 52)
compareAndSwap(x, 54, 56)
compareAndSwap(x, 58, 60)
compareAndSwap(x, 62, 64)
compareAndSwap(x, 66, 68)
compareAndSwap(x, 70, 72)
compareAndSwap(x, 74, 76)
compareAndSwap(x, 78, 80)
compareAndSwap(x, 1, 65)
compareAndSwap(x, 33, 65)
compareAndSwap(x, 17, 81)
compareAndSwap(x, 49, 81)
compareAndSwap(x, 17, 33)
compareAndSwap(x, 49, 65)
compareAndSwap(x, 9, 73)
compareAndSwap(x, 41, 73)
compareAndSwap(x, 25, 41)
compareAndSwap(x, 57, 73)
compareAndSwap(x, 9, 17)
compareAndSwap(x, 25, 33)
compareAndSwap(x, 41, 49)
compareAndSwap(x, 57, 65)
compareAndSwap(x, 73, 81)
compareAndSwap(x, 5, 69)
compareAndSwap(x, 37, 69)
compareAndSwap(x, 21, 37)
compareAndSwap(x, 53, 69)
compareAndSwap(x, 13, 77)
compareAndSwap(x, 45, 77)
compareAndSwap(x, 29, 45)
compareAndSwap(x, 61, 77)
compareAndSwap(x, 13, 21)
compareAndSwap(x, 29, 37)
compareAndSwap(x, 45, 53)
compareAndSwap(x, 61, 69)
compareAndSwap(x, 5, 9)
compareAndSwap(x, 13, 17)
compareAndSwap(x, 21, 25)
compareAndSwap(x, 29, 33)
compareAndSwap(x, 37, 41)
compareAndSwap(x, 45, 49)
compareAndSwap(x, 53, 57)
compareAndSwap(x, 61, 65)
compareAndSwap(x, 69, 73)
compareAndSwap(x, 77, 81)
compareAndSwap(x, 3, 67)
compareAndSwap(x, 35, 67)
compareAndSwap(x, 19, 83)
compareAndSwap(x, 51, 83)
compareAndSwap(x, 19, 35)
compareAndSwap(x, 51, 67)
compareAndSwap(x, 11, 75)
compareAndSwap(x, 43, 75)
compareAndSwap(x, 27, 43)
compareAndSwap(x, 59, 75)
compareAndSwap(x, 11, 19)
compareAndSwap(x, 27, 35)
compareAndSwap(x, 43, 51)
compareAndSwap(x, 59, 67)
compareAndSwap(x, 75, 83)
compareAndSwap(x, 7, 71)
compareAndSwap(x, 39, 71)
compareAndSwap(x, 23, 39)
compareAndSwap(x, 55, 71)
compareAndSwap(x, 15, 79)
compareAndSwap(x, 47, 79)
compareAndSwap(x, 31, 47)
compareAndSwap(x, 63, 79)
compareAndSwap(x, 15, 23)
compareAndSwap(x, 31, 39)
compareAndSwap(x, 47, 55)
compareAndSwap(x, 63, 71)
compareAndSwap(x, 7, 11)
compareAndSwap(x, 15, 19)
compareAndSwap(x, 23, 27)
compareAndSwap(x, 31, 35)
compareAndSwap(x, 39, 43)
compareAndSwap(x, 47, 51)
compareAndSwap(x, 55, 59)
compareAndSwap(x, 63, 67)
compareAndSwap(x, 71, 75)
compareAndSwap(x, 79, 83)
compareAndSwap(x, 3, 5)
compareAndSwap(x, 7, 9)
compareAndSwap(x, 11, 13)
compareAndSwap(x, 15, 17)
compareAndSwap(x, 19, 21)
compareAndSwap(x, 23, 25)
compareAndSwap(x, 27, 29)
compareAndSwap(x, 31, 33)
compareAndSwap(x, 35, 37)
compareAndSwap(x, 39, 41)
compareAndSwap(x, 43, 45)
compareAndSwap(x, 47, 49)
compareAndSwap(x, 51, 53)
compareAndSwap(x, 55, 57)
compareAndSwap(x, 59, 61)
compareAndSwap(x, 63, 65)
compareAndSwap(x, 67, 69)
compareAndSwap(x, 71, 73)
compareAndSwap(x, 75, 77)
compareAndSwap(x, 79, 81)
compareAndSwap(x, 1, 2)
compareAndSwap(x, 3, 4)
compareAndSwap(x, 5, 6)
compareAndSwap(x, 7, 8)
compareAndSwap(x, 9, 10)
compareAndSwap(x, 11, 12)
compareAndSwap(x, 13, 14)
compareAndSwap(x, 15, 16)
compareAndSwap(x, 17, 18)
compareAndSwap(x, 19, 20)
compareAndSwap(x, 21, 22)
compareAndSwap(x, 23, 24)
compareAndSwap(x, 25, 26)
compareAndSwap(x, 27, 28)
compareAndSwap(x, 29, 30)
compareAndSwap(x, 31, 32)
compareAndSwap(x, 33, 34)
compareAndSwap(x, 35, 36)
compareAndSwap(x, 37, 38)
compareAndSwap(x, 39, 40)
compareAndSwap(x, 41, 42)
compareAndSwap(x, 43, 44)
compareAndSwap(x, 45, 46)
compareAndSwap(x, 47, 48)
compareAndSwap(x, 49, 50)
compareAndSwap(x, 51, 52)
compareAndSwap(x, 53, 54)
compareAndSwap(x, 55, 56)
compareAndSwap(x, 57, 58)
compareAndSwap(x, 59, 60)
compareAndSwap(x, 61, 62)
compareAndSwap(x, 63, 64)
compareAndSwap(x, 65, 66)
compareAndSwap(x, 67, 68)
compareAndSwap(x, 69, 70)
compareAndSwap(x, 71, 72)
compareAndSwap(x, 73, 74)
compareAndSwap(x, 75, 76)
compareAndSwap(x, 77, 78)
compareAndSwap(x, 79, 80)
compareAndSwap(x, 81, 82)
}

135
vendor/git.schwanenlied.me/yawning/newhope.git/error_correction.go generated vendored Normal file
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@ -0,0 +1,135 @@
// error_correction.go - NewHope key exchange error correction.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
import "git.schwanenlied.me/yawning/chacha20.git"
func abs(v int32) int32 {
mask := v >> 31
return (v ^ mask) - mask
}
func f(v0, v1 *int32, x int32) int32 {
// The`ref` code uses uint32 for x, but none of the values ever get large
// enough for that, and that would be cast-tastic due to Go being Go.
// Next 6 lines compute t = x/PARAM_Q
b := x * 2730
t := b >> 25
b = x - t*paramQ
b = (paramQ - 1) - b
b >>= 31
t -= b
r := t & 1
xit := t >> 1
*v0 = xit + r // v0 = round(x/(2*PARAM_Q))
t--
r = t & 1
*v1 = (t >> 1) + r
return abs(x - ((*v0) * 2 * paramQ))
}
func g(x int32) int32 {
// Next 6 lines compute t = x/(4 *PARAMQ)
b := x * 2730
t := b >> 27
b = x - t*(paramQ*4)
b = (paramQ * 4) - b
b >>= 31
t -= b
c := t & 1
t = (t >> 1) + c // t = round(x/(8*PARAM_Q))
t *= 8 * paramQ
return abs(t - x)
}
func llDecode(xi0, xi1, xi2, xi3 int32) int16 {
t := g(xi0)
t += g(xi1)
t += g(xi2)
t += g(xi3)
t -= 8 * paramQ
t >>= 31
return int16(t & 1)
}
func (c *poly) helpRec(v *poly, seed *[SeedBytes]byte, nonce byte) {
var v0, v1, vTmp [4]int32
var k int32
var rand [32]byte
var n [8]byte
n[7] = nonce
stream, err := chacha20.NewCipher(seed[:], n[:])
if err != nil {
panic(err)
}
stream.KeyStream(rand[:])
stream.Reset()
defer memwipe(rand[:])
for i := uint(0); i < 256; i++ {
rBit := int32((rand[i>>3] >> (i & 7)) & 1)
vTmp[0], vTmp[1], vTmp[2], vTmp[3] = int32(v.coeffs[i]), int32(v.coeffs[256+i]), int32(v.coeffs[512+i]), int32(v.coeffs[768+i])
// newhope-20151209 - New version of the reconciliation.
k = f(&v0[0], &v1[0], 8*vTmp[0]+4*rBit)
k += f(&v0[1], &v1[1], 8*vTmp[1]+4*rBit)
k += f(&v0[2], &v1[2], 8*vTmp[2]+4*rBit)
k += f(&v0[3], &v1[3], 8*vTmp[3]+4*rBit)
k = (2*paramQ - 1 - k) >> 31
vTmp[0] = ((^k) & v0[0]) ^ (k & v1[0])
vTmp[1] = ((^k) & v0[1]) ^ (k & v1[1])
vTmp[2] = ((^k) & v0[2]) ^ (k & v1[2])
vTmp[3] = ((^k) & v0[3]) ^ (k & v1[3])
c.coeffs[0+i] = uint16((vTmp[0] - vTmp[3]) & 3)
c.coeffs[256+i] = uint16((vTmp[1] - vTmp[3]) & 3)
c.coeffs[512+i] = uint16((vTmp[2] - vTmp[3]) & 3)
c.coeffs[768+i] = uint16((-k + 2*vTmp[3]) & 3)
}
for i := range vTmp {
vTmp[i] = 0
}
}
func rec(key *[32]byte, v, c *poly) {
var tmp, vTmp, cTmp [4]int32
for i := range key {
key[i] = 0
}
for i := uint(0); i < 256; i++ {
vTmp[0], vTmp[1], vTmp[2], vTmp[3] = int32(v.coeffs[i]), int32(v.coeffs[256+i]), int32(v.coeffs[512+i]), int32(v.coeffs[768+i])
cTmp[0], cTmp[1], cTmp[2], cTmp[3] = int32(c.coeffs[i]), int32(c.coeffs[256+i]), int32(c.coeffs[512+i]), int32(c.coeffs[768+i])
tmp[0] = 16*paramQ + 8*vTmp[0] - paramQ*(2*cTmp[0]+cTmp[3])
tmp[1] = 16*paramQ + 8*vTmp[1] - paramQ*(2*cTmp[1]+cTmp[3])
tmp[2] = 16*paramQ + 8*vTmp[2] - paramQ*(2*cTmp[2]+cTmp[3])
tmp[3] = 16*paramQ + 8*vTmp[3] - paramQ*(cTmp[3])
key[i>>3] |= byte(llDecode(tmp[0], tmp[1], tmp[2], tmp[3]) << (i & 7))
}
for i := 0; i < 4; i++ {
tmp[i] = 0
vTmp[i] = 0
cTmp[i] = 0
}
}

220
vendor/git.schwanenlied.me/yawning/newhope.git/newhope.go generated vendored Normal file
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@ -0,0 +1,220 @@
// newhope.go - NewHope interface.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
// Package newhope implements a key exchange based on the Ring Learning with
// Errors Problem. It is a mechanical port of the Public Domain implementation
// by Erdem Alkim, Léo Ducas, Thomas Pöppelmann, and Peter Schwabe.
//
// For more information see:
// https://cryptojedi.org/papers/newhope-20161119.pdf
// https://cryptojedi.org/papers/newhopesimple-20161217.pdf
//
package newhope
import (
"io"
"golang.org/x/crypto/sha3"
)
const (
// SharedSecretSize is the length of a Shared Secret in bytes.
SharedSecretSize = 32
// UpstreamVersion is the version of the upstream package this
// implementation is compatible with.
UpstreamVersion = "20160815"
// RecBytes is the length of the reconciliation data in bytes.
RecBytes = 256
// SendASize is the length of Alice's public key in bytes.
SendASize = PolyBytes + SeedBytes
// SendBSize is the length of Bob's public key in bytes.
SendBSize = PolyBytes + RecBytes
)
// TorSampling enables the constant time generation of the `a` parameter,
// where every successful `a` generation will take the same amount of time.
// Most users will probably not want to enable this as it does come with a
// performance penalty. Alice and Bob *MUST* agree on the sampling method,
// or the key exchange will fail.
var TorSampling = false
func encodeA(r []byte, pk *poly, seed *[SeedBytes]byte) {
pk.toBytes(r)
for i := 0; i < SeedBytes; i++ {
r[PolyBytes+i] = seed[i]
}
}
func decodeA(pk *poly, seed *[SeedBytes]byte, r []byte) {
pk.fromBytes(r)
for i := range seed {
seed[i] = r[PolyBytes+i]
}
}
func encodeB(r []byte, b *poly, c *poly) {
b.toBytes(r)
for i := 0; i < paramN/4; i++ {
r[PolyBytes+i] = byte(c.coeffs[4*i]) | byte(c.coeffs[4*i+1]<<2) | byte(c.coeffs[4*i+2]<<4) | byte(c.coeffs[4*i+3]<<6)
}
}
func decodeB(b *poly, c *poly, r []byte) {
b.fromBytes(r)
for i := 0; i < paramN/4; i++ {
c.coeffs[4*i+0] = uint16(r[PolyBytes+i]) & 0x03
c.coeffs[4*i+1] = uint16(r[PolyBytes+i]>>2) & 0x03
c.coeffs[4*i+2] = uint16(r[PolyBytes+i]>>4) & 0x03
c.coeffs[4*i+3] = uint16(r[PolyBytes+i] >> 6)
}
}
func memwipe(b []byte) {
for i := range b {
b[i] = 0
}
}
// PublicKeyAlice is Alice's NewHope public key.
type PublicKeyAlice struct {
Send [SendASize]byte
}
// PrivateKeyAlice is Alice's NewHope private key.
type PrivateKeyAlice struct {
sk poly
}
// Reset clears all sensitive information such that it no longer appears in
// memory.
func (k *PrivateKeyAlice) Reset() {
k.sk.reset()
}
// GenerateKeyPairAlice returns a private/public key pair. The private key is
// generated using the given reader, which must return random data. The
// receiver side of the key exchange (aka "Bob") MUST use KeyExchangeBob()
// instead of this routine.
func GenerateKeyPairAlice(rand io.Reader) (*PrivateKeyAlice, *PublicKeyAlice, error) {
var a, e, pk, r poly
var seed, noiseSeed [SeedBytes]byte
// seed <- Sample({0, 1}^256)
if _, err := io.ReadFull(rand, seed[:]); err != nil {
return nil, nil, err
}
seed = sha3.Sum256(seed[:]) // Don't send output of system RNG.
// a <- Parse(SHAKE-128(seed))
a.uniform(&seed, TorSampling)
// s, e <- Sample(psi(n, 12))
if _, err := io.ReadFull(rand, noiseSeed[:]); err != nil {
return nil, nil, err
}
defer memwipe(noiseSeed[:])
privKey := new(PrivateKeyAlice)
privKey.sk.getNoise(&noiseSeed, 0)
privKey.sk.ntt()
e.getNoise(&noiseSeed, 1)
e.ntt()
// b <- as + e
pubKey := new(PublicKeyAlice)
r.pointwise(&privKey.sk, &a)
pk.add(&e, &r)
encodeA(pubKey.Send[:], &pk, &seed)
return privKey, pubKey, nil
}
// PublicKeyBob is Bob's NewHope public key.
type PublicKeyBob struct {
Send [SendBSize]byte
}
// KeyExchangeBob is the Responder side of the NewHope key exchange. The
// shared secret and "public key" (key + reconciliation data) are generated
// using the given reader, which must return random data.
func KeyExchangeBob(rand io.Reader, alicePk *PublicKeyAlice) (*PublicKeyBob, []byte, error) {
var pka, a, sp, ep, u, v, epp, r poly
var seed, noiseSeed [SeedBytes]byte
if _, err := io.ReadFull(rand, noiseSeed[:]); err != nil {
return nil, nil, err
}
defer memwipe(noiseSeed[:])
// a <- Parse(SHAKE-128(seed))
decodeA(&pka, &seed, alicePk.Send[:])
a.uniform(&seed, TorSampling)
// s', e', e'' <- Sample(psi(n, 12))
sp.getNoise(&noiseSeed, 0)
sp.ntt()
ep.getNoise(&noiseSeed, 1)
ep.ntt()
epp.getNoise(&noiseSeed, 2)
// u <- as' + e'
u.pointwise(&a, &sp)
u.add(&u, &ep)
// v <- bs' + e''
v.pointwise(&pka, &sp)
v.invNtt()
v.add(&v, &epp)
// r <- Sample(HelpRec(v))
r.helpRec(&v, &noiseSeed, 3)
pubKey := new(PublicKeyBob)
encodeB(pubKey.Send[:], &u, &r)
// nu <- Rec(v, r)
var nu [SharedSecretSize]byte
rec(&nu, &v, &r)
// mu <- SHA3-256(nu)
mu := sha3.Sum256(nu[:])
// Scrub the sensitive stuff...
memwipe(nu[:])
sp.reset()
v.reset()
return pubKey, mu[:], nil
}
// KeyExchangeAlice is the Initiaitor side of the NewHope key exchange. The
// provided private key is obliterated prior to returning.
func KeyExchangeAlice(bobPk *PublicKeyBob, aliceSk *PrivateKeyAlice) ([]byte, error) {
var u, r, vp poly
decodeB(&u, &r, bobPk.Send[:])
// v' <- us
vp.pointwise(&aliceSk.sk, &u)
vp.invNtt()
// nu <- Rec(v', r)
var nu [SharedSecretSize]byte
rec(&nu, &vp, &r)
// mu <- Sha3-256(nu)
mu := sha3.Sum256(nu[:])
// Scrub the sensitive stuff...
memwipe(nu[:])
vp.reset()
aliceSk.Reset()
return mu[:], nil
}

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// newhope_simple.go - NewHope-Simple interface.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
import (
"io"
"golang.org/x/crypto/sha3"
)
const (
// HighBytes is the length of the encoded secret in bytes.
HighBytes = 384
// SendASimpleSize is the length of Alice's NewHope-Simple public key in
// bytes.
SendASimpleSize = PolyBytes + SeedBytes
// SendBSimpleSize is the length of Bob's NewHope-Simple public key in
// bytes.
SendBSimpleSize = PolyBytes + HighBytes
)
func encodeBSimple(r []byte, b *poly, v *poly) {
b.toBytes(r)
v.compress(r[PolyBytes:])
}
func decodeBSimple(b *poly, v *poly, r []byte) {
b.fromBytes(r)
v.decompress(r[PolyBytes:])
}
// PublicKeySimpleAlice is Alice's NewHope-Simple public key.
type PublicKeySimpleAlice struct {
Send [SendASimpleSize]byte
}
// PrivateKeySimpleAlice is Alice's NewHope-Simple private key.
type PrivateKeySimpleAlice struct {
sk poly
}
// Reset clears all sensitive information such that it no longer appears in
// memory.
func (k *PrivateKeySimpleAlice) Reset() {
k.sk.reset()
}
// GenerateKeyPairSimpleAlice returns a NewHope-Simple private/public key pair.
// The private key is generated using the given reader, which must return
// random data. The receiver side of the key exchange (aka "Bob") MUST use
// KeyExchangeSimpleBob() instead of this routine.
func GenerateKeyPairSimpleAlice(rand io.Reader) (*PrivateKeySimpleAlice, *PublicKeySimpleAlice, error) {
var a, e, pk, r poly
var seed, noiseSeed [SeedBytes]byte
if _, err := io.ReadFull(rand, seed[:]); err != nil {
return nil, nil, err
}
seed = sha3.Sum256(seed[:]) // Don't send output of system RNG.
a.uniform(&seed, TorSampling)
if _, err := io.ReadFull(rand, noiseSeed[:]); err != nil {
return nil, nil, err
}
defer memwipe(noiseSeed[:])
privKey := new(PrivateKeySimpleAlice)
privKey.sk.getNoise(&noiseSeed, 0)
privKey.sk.ntt()
e.getNoise(&noiseSeed, 1)
e.ntt()
pubKey := new(PublicKeySimpleAlice)
r.pointwise(&privKey.sk, &a)
pk.add(&e, &r)
encodeA(pubKey.Send[:], &pk, &seed)
return privKey, pubKey, nil
}
// PublicKeySimpleBob is Bob's NewHope-Simple public key.
type PublicKeySimpleBob struct {
Send [SendBSimpleSize]byte
}
// KeyExchangeSimpleBob is the Responder side of the NewHope-Simple key
// exchange. The shared secret and "public key" are generated using the
// given reader, which must return random data.
func KeyExchangeSimpleBob(rand io.Reader, alicePk *PublicKeySimpleAlice) (*PublicKeySimpleBob, []byte, error) {
var pka, a, sp, ep, bp, v, epp, m poly
var seed, noiseSeed [SeedBytes]byte
if _, err := io.ReadFull(rand, noiseSeed[:]); err != nil {
return nil, nil, err
}
defer memwipe(noiseSeed[:])
var sharedKey [SharedSecretSize]byte
if _, err := io.ReadFull(rand, sharedKey[:]); err != nil {
return nil, nil, err
}
defer memwipe(sharedKey[:])
sharedKey = sha3.Sum256(sharedKey[:])
m.fromMsg(sharedKey[:])
decodeA(&pka, &seed, alicePk.Send[:])
a.uniform(&seed, TorSampling)
sp.getNoise(&noiseSeed, 0)
sp.ntt()
ep.getNoise(&noiseSeed, 1)
ep.ntt()
bp.pointwise(&a, &sp)
bp.add(&bp, &ep)
v.pointwise(&pka, &sp)
v.invNtt()
epp.getNoise(&noiseSeed, 2)
v.add(&v, &epp)
v.add(&v, &m) // add key
pubKey := new(PublicKeySimpleBob)
encodeBSimple(pubKey.Send[:], &bp, &v)
mu := sha3.Sum256(sharedKey[:])
// Scrub the sensitive stuff...
sp.reset()
v.reset()
m.reset()
return pubKey, mu[:], nil
}
// KeyExchangeSimpleAlice is the Initiaitor side of the NewHope-Simple key
// exchange. The provided private key is obliterated prior to returning.
func KeyExchangeSimpleAlice(bobPk *PublicKeySimpleBob, aliceSk *PrivateKeySimpleAlice) ([]byte, error) {
var v, bp, k poly
decodeBSimple(&bp, &v, bobPk.Send[:])
k.pointwise(&aliceSk.sk, &bp)
k.invNtt()
k.sub(&k, &v)
var sharedKey [SharedSecretSize]byte
k.toMsg(sharedKey[:])
// mu <- Sha3-256(v')
mu := sha3.Sum256(sharedKey[:])
// Scrub the sensitive stuff...
memwipe(sharedKey[:])
k.reset()
aliceSk.Reset()
return mu[:], nil
}

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// ntt.go - NewHope Number Theoretic Transform.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
var bitrevTable = [paramN]uint16{
0, 512, 256, 768, 128, 640, 384, 896, 64, 576, 320, 832, 192, 704, 448, 960,
32, 544, 288, 800, 160, 672, 416, 928, 96, 608, 352, 864, 224, 736, 480,
992, 16, 528, 272, 784, 144, 656, 400, 912, 80, 592, 336, 848, 208, 720,
464, 976, 48, 560, 304, 816, 176, 688, 432, 944, 112, 624, 368, 880,
240, 752, 496, 1008, 8, 520, 264, 776, 136, 648, 392, 904, 72, 584, 328,
840, 200, 712, 456, 968, 40, 552, 296, 808, 168, 680, 424, 936, 104,
616, 360, 872, 232, 744, 488, 1000, 24, 536, 280, 792, 152, 664, 408,
920, 88, 600, 344, 856, 216, 728, 472, 984, 56, 568, 312, 824, 184, 696,
440, 952, 120, 632, 376, 888, 248, 760, 504, 1016, 4, 516, 260, 772,
132, 644, 388, 900, 68, 580, 324, 836, 196, 708, 452, 964, 36, 548, 292,
804, 164, 676, 420, 932, 100, 612, 356, 868, 228, 740, 484, 996, 20,
532, 276, 788, 148, 660, 404, 916, 84, 596, 340, 852, 212, 724, 468,
980, 52, 564, 308, 820, 180, 692, 436, 948, 116, 628, 372, 884, 244,
756, 500, 1012, 12, 524, 268, 780, 140, 652, 396, 908, 76, 588, 332,
844, 204, 716, 460, 972, 44, 556, 300, 812, 172, 684, 428, 940, 108,
620, 364, 876, 236, 748, 492, 1004, 28, 540, 284, 796, 156, 668, 412,
924, 92, 604, 348, 860, 220, 732, 476, 988, 60, 572, 316, 828, 188, 700,
444, 956, 124, 636, 380, 892, 252, 764, 508, 1020, 2, 514, 258, 770,
130, 642, 386, 898, 66, 578, 322, 834, 194, 706, 450, 962, 34, 546, 290,
802, 162, 674, 418, 930, 98, 610, 354, 866, 226, 738, 482, 994, 18, 530,
274, 786, 146, 658, 402, 914, 82, 594, 338, 850, 210, 722, 466, 978, 50,
562, 306, 818, 178, 690, 434, 946, 114, 626, 370, 882, 242, 754, 498,
1010, 10, 522, 266, 778, 138, 650, 394, 906, 74, 586, 330, 842, 202,
714, 458, 970, 42, 554, 298, 810, 170, 682, 426, 938, 106, 618, 362,
874, 234, 746, 490, 1002, 26, 538, 282, 794, 154, 666, 410, 922, 90,
602, 346, 858, 218, 730, 474, 986, 58, 570, 314, 826, 186, 698, 442,
954, 122, 634, 378, 890, 250, 762, 506, 1018, 6, 518, 262, 774, 134,
646, 390, 902, 70, 582, 326, 838, 198, 710, 454, 966, 38, 550, 294, 806,
166, 678, 422, 934, 102, 614, 358, 870, 230, 742, 486, 998, 22, 534,
278, 790, 150, 662, 406, 918, 86, 598, 342, 854, 214, 726, 470, 982, 54,
566, 310, 822, 182, 694, 438, 950, 118, 630, 374, 886, 246, 758, 502,
1014, 14, 526, 270, 782, 142, 654, 398, 910, 78, 590, 334, 846, 206,
718, 462, 974, 46, 558, 302, 814, 174, 686, 430, 942, 110, 622, 366,
878, 238, 750, 494, 1006, 30, 542, 286, 798, 158, 670, 414, 926, 94,
606, 350, 862, 222, 734, 478, 990, 62, 574, 318, 830, 190, 702, 446,
958, 126, 638, 382, 894, 254, 766, 510, 1022, 1, 513, 257, 769, 129,
641, 385, 897, 65, 577, 321, 833, 193, 705, 449, 961, 33, 545, 289, 801,
161, 673, 417, 929, 97, 609, 353, 865, 225, 737, 481, 993, 17, 529, 273,
785, 145, 657, 401, 913, 81, 593, 337, 849, 209, 721, 465, 977, 49, 561,
305, 817, 177, 689, 433, 945, 113, 625, 369, 881, 241, 753, 497, 1009,
9, 521, 265, 777, 137, 649, 393, 905, 73, 585, 329, 841, 201, 713, 457,
969, 41, 553, 297, 809, 169, 681, 425, 937, 105, 617, 361, 873, 233,
745, 489, 1001, 25, 537, 281, 793, 153, 665, 409, 921, 89, 601, 345,
857, 217, 729, 473, 985, 57, 569, 313, 825, 185, 697, 441, 953, 121,
633, 377, 889, 249, 761, 505, 1017, 5, 517, 261, 773, 133, 645, 389,
901, 69, 581, 325, 837, 197, 709, 453, 965, 37, 549, 293, 805, 165, 677,
421, 933, 101, 613, 357, 869, 229, 741, 485, 997, 21, 533, 277, 789,
149, 661, 405, 917, 85, 597, 341, 853, 213, 725, 469, 981, 53, 565, 309,
821, 181, 693, 437, 949, 117, 629, 373, 885, 245, 757, 501, 1013, 13,
525, 269, 781, 141, 653, 397, 909, 77, 589, 333, 845, 205, 717, 461,
973, 45, 557, 301, 813, 173, 685, 429, 941, 109, 621, 365, 877, 237,
749, 493, 1005, 29, 541, 285, 797, 157, 669, 413, 925, 93, 605, 349,
861, 221, 733, 477, 989, 61, 573, 317, 829, 189, 701, 445, 957, 125,
637, 381, 893, 253, 765, 509, 1021, 3, 515, 259, 771, 131, 643, 387,
899, 67, 579, 323, 835, 195, 707, 451, 963, 35, 547, 291, 803, 163, 675,
419, 931, 99, 611, 355, 867, 227, 739, 483, 995, 19, 531, 275, 787, 147,
659, 403, 915, 83, 595, 339, 851, 211, 723, 467, 979, 51, 563, 307, 819,
179, 691, 435, 947, 115, 627, 371, 883, 243, 755, 499, 1011, 11, 523,
267, 779, 139, 651, 395, 907, 75, 587, 331, 843, 203, 715, 459, 971, 43,
555, 299, 811, 171, 683, 427, 939, 107, 619, 363, 875, 235, 747, 491,
1003, 27, 539, 283, 795, 155, 667, 411, 923, 91, 603, 347, 859, 219,
731, 475, 987, 59, 571, 315, 827, 187, 699, 443, 955, 123, 635, 379,
891, 251, 763, 507, 1019, 7, 519, 263, 775, 135, 647, 391, 903, 71, 583,
327, 839, 199, 711, 455, 967, 39, 551, 295, 807, 167, 679, 423, 935,
103, 615, 359, 871, 231, 743, 487, 999, 23, 535, 279, 791, 151, 663,
407, 919, 87, 599, 343, 855, 215, 727, 471, 983, 55, 567, 311, 823, 183,
695, 439, 951, 119, 631, 375, 887, 247, 759, 503, 1015, 15, 527, 271,
783, 143, 655, 399, 911, 79, 591, 335, 847, 207, 719, 463, 975, 47, 559,
303, 815, 175, 687, 431, 943, 111, 623, 367, 879, 239, 751, 495, 1007,
31, 543, 287, 799, 159, 671, 415, 927, 95, 607, 351, 863, 223, 735, 479,
991, 63, 575, 319, 831, 191, 703, 447, 959, 127, 639, 383, 895, 255,
767, 511, 1023,
}
func (p *poly) bitrev() {
for i, v := range p.coeffs {
r := bitrevTable[i]
if uint16(i) < r {
p.coeffs[i] = p.coeffs[r]
p.coeffs[r] = v
}
}
}
func (p *poly) mulCoefficients(factors *[paramN]uint16) {
for i, v := range factors {
p.coeffs[i] = montgomeryReduce(uint32(p.coeffs[i]) * uint32(v))
}
}
func ntt(a *[paramN]uint16, omega *[paramN / 2]uint16) {
var distance uint
for i := uint(0); i < 10; i += 2 {
// Even level.
distance = (1 << i)
for start := uint(0); start < distance; start++ {
jTwiddle := 0
for j := start; j < paramN-1; j += 2 * distance {
w := uint32(omega[jTwiddle])
jTwiddle++
tmp := a[j]
a[j] = tmp + a[j+distance]
a[j+distance] = montgomeryReduce(w * (uint32(tmp) + 3*paramQ - uint32(a[j+distance])))
}
}
// Odd level.
distance <<= 1
for start := uint(0); start < distance; start++ {
jTwiddle := 0
for j := start; j < paramN-1; j += 2 * distance {
w := uint32(omega[jTwiddle])
jTwiddle++
tmp := a[j]
a[j] = barrettReduce(tmp + a[j+distance])
a[j+distance] = montgomeryReduce(w * (uint32(tmp) + 3*paramQ - uint32(a[j+distance])))
}
}
}
}

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vendor/git.schwanenlied.me/yawning/newhope.git/params.go generated vendored Normal file
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// params.go - NewHope parameters.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
const (
paramN = 1024
paramK = 16 // used in sampler
paramQ = 12289
// SeedBytes is the size of the seed in bytes.
SeedBytes = 32
)

212
vendor/git.schwanenlied.me/yawning/newhope.git/poly.go generated vendored Normal file
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// poly.go - NewHope polynomial.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
import (
"encoding/binary"
"git.schwanenlied.me/yawning/chacha20.git"
"golang.org/x/crypto/sha3"
)
const (
// PolyBytes is the length of an encoded polynomial in bytes.
PolyBytes = 1792
shake128Rate = 168 // Stupid that this isn't exposed.
)
type poly struct {
coeffs [paramN]uint16
}
func (p *poly) reset() {
for i := range p.coeffs {
p.coeffs[i] = 0
}
}
func (p *poly) fromBytes(a []byte) {
for i := 0; i < paramN/4; i++ {
p.coeffs[4*i+0] = uint16(a[7*i+0]) | ((uint16(a[7*i+1]) & 0x3f) << 8)
p.coeffs[4*i+1] = (uint16(a[7*i+1]) >> 6) | (uint16(a[7*i+2]) << 2) | ((uint16(a[7*i+3]) & 0x0f) << 10)
p.coeffs[4*i+2] = (uint16(a[7*i+3]) >> 4) | (uint16(a[7*i+4]) << 4) | ((uint16(a[7*i+5]) & 0x03) << 12)
p.coeffs[4*i+3] = (uint16(a[7*i+5]) >> 2) | (uint16(a[7*i+6]) << 6)
}
}
func (p *poly) toBytes(r []byte) {
for i := 0; i < paramN/4; i++ {
// Make sure that coefficients have only 14 bits.
t0 := barrettReduce(p.coeffs[4*i+0])
t1 := barrettReduce(p.coeffs[4*i+1])
t2 := barrettReduce(p.coeffs[4*i+2])
t3 := barrettReduce(p.coeffs[4*i+3])
// Make sure that coefficients are in [0,q]
m := t0 - paramQ
c := int16(m)
c >>= 15
t0 = m ^ ((t0 ^ m) & uint16(c))
m = t1 - paramQ
c = int16(m)
c >>= 15
t1 = m ^ ((t1 ^ m) & uint16(c))
m = t2 - paramQ
c = int16(m)
c >>= 15
t2 = m ^ ((t2 ^ m) & uint16(c))
m = t3 - paramQ
c = int16(m)
c >>= 15
t3 = m ^ ((t3 ^ m) & uint16(c))
r[7*i+0] = byte(t0 & 0xff)
r[7*i+1] = byte(t0>>8) | byte(t1<<6)
r[7*i+2] = byte(t1 >> 2)
r[7*i+3] = byte(t1>>10) | byte(t2<<4)
r[7*i+4] = byte(t2 >> 4)
r[7*i+5] = byte(t2>>12) | byte(t3<<2)
r[7*i+6] = byte(t3 >> 6)
}
}
func (p *poly) discardTo(xbuf []byte) bool {
var x [shake128Rate * 16 / 2]uint16
for i := range x {
x[i] = binary.LittleEndian.Uint16(xbuf[i*2:])
}
for i := 0; i < 16; i++ {
batcher84(x[i:])
}
// Check whether we're safe:
r := int(0)
for i := 1000; i < 1024; i++ {
r |= 61444 - int(x[i])
}
if r>>31 != 0 {
return true
}
// If we are, copy coefficients to polynomial:
for i := range p.coeffs {
p.coeffs[i] = x[i]
}
return false
}
func (p *poly) uniform(seed *[SeedBytes]byte, torSampling bool) {
if !torSampling {
// Reference version, vartime.
nBlocks := 14
var buf [shake128Rate * 14]byte
// h and buf are left unscrubbed because the output is public.
h := sha3.NewShake128()
h.Write(seed[:])
h.Read(buf[:])
for ctr, pos := 0, 0; ctr < paramN; {
val := binary.LittleEndian.Uint16(buf[pos:])
if val < 5*paramQ {
p.coeffs[ctr] = val
ctr++
}
pos += 2
if pos > shake128Rate*nBlocks-2 {
nBlocks = 1
h.Read(buf[:shake128Rate])
pos = 0
}
}
} else {
// `torref` version, every valid `a` is generate in constant time,
// though the number of attempts varies.
const nBlocks = 16
var buf [shake128Rate * nBlocks]byte
// h and buf are left unscrubbed because the output is public.
h := sha3.NewShake128()
h.Write(seed[:])
for {
h.Read(buf[:])
if !p.discardTo(buf[:]) {
break
}
}
}
}
func (p *poly) getNoise(seed *[SeedBytes]byte, nonce byte) {
// The `ref` code uses a uint32 vector instead of a byte vector,
// but converting between the two in Go is cumbersome.
var buf [4 * paramN]byte
var n [8]byte
n[0] = nonce
stream, err := chacha20.NewCipher(seed[:], n[:])
if err != nil {
panic(err)
}
stream.KeyStream(buf[:])
stream.Reset()
for i := 0; i < paramN; i++ {
t := binary.LittleEndian.Uint32(buf[4*i:])
d := uint32(0)
for j := uint(0); j < 8; j++ {
d += (t >> j) & 0x01010101
}
a := ((d >> 8) & 0xff) + (d & 0xff)
b := (d >> 24) + ((d >> 16) & 0xff)
p.coeffs[i] = uint16(a) + paramQ - uint16(b)
}
// Scrub the random bits...
memwipe(buf[:])
}
func (p *poly) pointwise(a, b *poly) {
for i := range p.coeffs {
t := montgomeryReduce(3186 * uint32(b.coeffs[i])) // t is now in Montgomery domain
p.coeffs[i] = montgomeryReduce(uint32(a.coeffs[i]) * uint32(t)) // p.coeffs[i] is back in normal domain
}
}
func (p *poly) add(a, b *poly) {
for i := range p.coeffs {
p.coeffs[i] = barrettReduce(a.coeffs[i] + b.coeffs[i])
}
}
func (p *poly) ntt() {
p.mulCoefficients(&psisBitrevMontgomery)
ntt(&p.coeffs, &omegasMontgomery)
}
func (p *poly) invNtt() {
p.bitrev()
ntt(&p.coeffs, &omegasInvMontgomery)
p.mulCoefficients(&psisInvMontgomery)
}
func init() {
if paramK != 16 {
panic("poly.getNoise() only supports k=16")
}
}

99
vendor/git.schwanenlied.me/yawning/newhope.git/poly_simple.go generated vendored Normal file
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// poly_simple.go - NewHope-Simple polynomial.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
func coeffFreeze(x uint16) uint16 {
var c int16
r := barrettReduce(x)
m := r - paramQ
c = int16(m)
c >>= 15
r = m ^ ((r ^ m) & uint16(c))
return r
}
// Computes abs(x-Q/2)
func flipAbs(x uint16) uint16 {
r := int16(coeffFreeze(x))
r = r - paramQ/2
m := r >> 15
return uint16((r + m) ^ m)
}
func (p *poly) compress(r []byte) {
var t [8]uint32
for i, k := 0, 0; i < paramN; i, k = i+8, k+3 {
for j := range t {
t[j] = uint32(coeffFreeze(p.coeffs[i+j]))
t[j] = (((t[j] << 3) + paramQ/2) / paramQ) & 0x7
}
r[k] = byte(t[0]) | byte(t[1]<<3) | byte(t[2]<<6)
r[k+1] = byte(t[2]>>2) | byte(t[3]<<1) | byte(t[4]<<4) | byte(t[5]<<7)
r[k+2] = byte(t[5]>>1) | byte(t[6]<<2) | byte(t[7]<<5)
}
for i := range t {
t[i] = 0
}
}
func (p *poly) decompress(a []byte) {
for i := 0; i < paramN; i += 8 {
a0, a1, a2 := uint16(a[0]), uint16(a[1]), uint16(a[2])
p.coeffs[i+0] = a0 & 7
p.coeffs[i+1] = (a0 >> 3) & 7
p.coeffs[i+2] = (a0 >> 6) | ((a1 << 2) & 4)
p.coeffs[i+3] = (a1 >> 1) & 7
p.coeffs[i+4] = (a1 >> 4) & 7
p.coeffs[i+5] = (a1 >> 7) | ((a2 << 1) & 6)
p.coeffs[i+6] = (a2 >> 2) & 7
p.coeffs[i+7] = (a2 >> 5)
a = a[3:]
for j := 0; j < 8; j++ {
p.coeffs[i+j] = uint16((uint32(p.coeffs[i+j])*paramQ + 4) >> 3)
}
}
}
func (p *poly) fromMsg(msg []byte) {
for i := uint(0); i < 32; i++ { // XXX: const for 32
for j := uint(0); j < 8; j++ {
mask := -(uint16((msg[i] >> j) & 1))
p.coeffs[8*i+j+0] = mask & (paramQ / 2)
p.coeffs[8*i+j+256] = mask & (paramQ / 2)
p.coeffs[8*i+j+512] = mask & (paramQ / 2)
p.coeffs[8*i+j+768] = mask & (paramQ / 2)
}
}
}
func (p *poly) toMsg(msg []byte) {
memwipe(msg[0:32])
for i := uint(0); i < 256; i++ {
t := flipAbs(p.coeffs[i+0])
t += flipAbs(p.coeffs[i+256])
t += flipAbs(p.coeffs[i+512])
t += flipAbs(p.coeffs[i+768])
//t = (~(t - PARAM_Q));
t = (t - paramQ)
t >>= 15
msg[i>>3] |= byte(t << (i & 7))
}
}
func (p *poly) sub(a, b *poly) {
for i := range p.coeffs {
p.coeffs[i] = barrettReduce(a.coeffs[i] + 3*paramQ - b.coeffs[i])
}
}

287
vendor/git.schwanenlied.me/yawning/newhope.git/precomp.go generated vendored Normal file
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// precomp.go - NewHope precomputed tables.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
var omegasMontgomery = [paramN / 2]uint16{
4075, 6974, 7373, 7965, 3262, 5079, 522, 2169, 6364, 1018, 1041, 8775, 2344,
11011, 5574, 1973, 4536, 1050, 6844, 3860, 3818, 6118, 2683, 1190, 4789,
7822, 7540, 6752, 5456, 4449, 3789, 12142, 11973, 382, 3988, 468, 6843,
5339, 6196, 3710, 11316, 1254, 5435, 10930, 3998, 10256, 10367, 3879,
11889, 1728, 6137, 4948, 5862, 6136, 3643, 6874, 8724, 654, 10302, 1702,
7083, 6760, 56, 3199, 9987, 605, 11785, 8076, 5594, 9260, 6403, 4782,
6212, 4624, 9026, 8689, 4080, 11868, 6221, 3602, 975, 8077, 8851, 9445,
5681, 3477, 1105, 142, 241, 12231, 1003, 3532, 5009, 1956, 6008, 11404,
7377, 2049, 10968, 12097, 7591, 5057, 3445, 4780, 2920, 7048, 3127,
8120, 11279, 6821, 11502, 8807, 12138, 2127, 2839, 3957, 431, 1579,
6383, 9784, 5874, 677, 3336, 6234, 2766, 1323, 9115, 12237, 2031, 6956,
6413, 2281, 3969, 3991, 12133, 9522, 4737, 10996, 4774, 5429, 11871,
3772, 453, 5908, 2882, 1805, 2051, 1954, 11713, 3963, 2447, 6142, 8174,
3030, 1843, 2361, 12071, 2908, 3529, 3434, 3202, 7796, 2057, 5369,
11939, 1512, 6906, 10474, 11026, 49, 10806, 5915, 1489, 9789, 5942,
10706, 10431, 7535, 426, 8974, 3757, 10314, 9364, 347, 5868, 9551, 9634,
6554, 10596, 9280, 11566, 174, 2948, 2503, 6507, 10723, 11606, 2459, 64,
3656, 8455, 5257, 5919, 7856, 1747, 9166, 5486, 9235, 6065, 835, 3570,
4240, 11580, 4046, 10970, 9139, 1058, 8210, 11848, 922, 7967, 1958,
10211, 1112, 3728, 4049, 11130, 5990, 1404, 325, 948, 11143, 6190, 295,
11637, 5766, 8212, 8273, 2919, 8527, 6119, 6992, 8333, 1360, 2555, 6167,
1200, 7105, 7991, 3329, 9597, 12121, 5106, 5961, 10695, 10327, 3051,
9923, 4896, 9326, 81, 3091, 1000, 7969, 4611, 726, 1853, 12149, 4255,
11112, 2768, 10654, 1062, 2294, 3553, 4805, 2747, 4846, 8577, 9154,
1170, 2319, 790, 11334, 9275, 9088, 1326, 5086, 9094, 6429, 11077,
10643, 3504, 3542, 8668, 9744, 1479, 1, 8246, 7143, 11567, 10984, 4134,
5736, 4978, 10938, 5777, 8961, 4591, 5728, 6461, 5023, 9650, 7468, 949,
9664, 2975, 11726, 2744, 9283, 10092, 5067, 12171, 2476, 3748, 11336,
6522, 827, 9452, 5374, 12159, 7935, 3296, 3949, 9893, 4452, 10908, 2525,
3584, 8112, 8011, 10616, 4989, 6958, 11809, 9447, 12280, 1022, 11950,
9821, 11745, 5791, 5092, 2089, 9005, 2881, 3289, 2013, 9048, 729, 7901,
1260, 5755, 4632, 11955, 2426, 10593, 1428, 4890, 5911, 3932, 9558,
8830, 3637, 5542, 145, 5179, 8595, 3707, 10530, 355, 3382, 4231, 9741,
1207, 9041, 7012, 1168, 10146, 11224, 4645, 11885, 10911, 10377, 435,
7952, 4096, 493, 9908, 6845, 6039, 2422, 2187, 9723, 8643, 9852, 9302,
6022, 7278, 1002, 4284, 5088, 1607, 7313, 875, 8509, 9430, 1045, 2481,
5012, 7428, 354, 6591, 9377, 11847, 2401, 1067, 7188, 11516, 390, 8511,
8456, 7270, 545, 8585, 9611, 12047, 1537, 4143, 4714, 4885, 1017, 5084,
1632, 3066, 27, 1440, 8526, 9273, 12046, 11618, 9289, 3400, 9890, 3136,
7098, 8758, 11813, 7384, 3985, 11869, 6730, 10745, 10111, 2249, 4048,
2884, 11136, 2126, 1630, 9103, 5407, 2686, 9042, 2969, 8311, 9424, 9919,
8779, 5332, 10626, 1777, 4654, 10863, 7351, 3636, 9585, 5291, 8374,
2166, 4919, 12176, 9140, 12129, 7852, 12286, 4895, 10805, 2780, 5195,
2305, 7247, 9644, 4053, 10600, 3364, 3271, 4057, 4414, 9442, 7917, 2174,
}
var omegasInvMontgomery = [paramN / 2]uint16{
4075, 5315, 4324, 4916, 10120, 11767, 7210, 9027, 10316, 6715, 1278, 9945,
3514, 11248, 11271, 5925, 147, 8500, 7840, 6833, 5537, 4749, 4467, 7500,
11099, 9606, 6171, 8471, 8429, 5445, 11239, 7753, 9090, 12233, 5529,
5206, 10587, 1987, 11635, 3565, 5415, 8646, 6153, 6427, 7341, 6152,
10561, 400, 8410, 1922, 2033, 8291, 1359, 6854, 11035, 973, 8579, 6093,
6950, 5446, 11821, 8301, 11907, 316, 52, 3174, 10966, 9523, 6055, 8953,
11612, 6415, 2505, 5906, 10710, 11858, 8332, 9450, 10162, 151, 3482,
787, 5468, 1010, 4169, 9162, 5241, 9369, 7509, 8844, 7232, 4698, 192,
1321, 10240, 4912, 885, 6281, 10333, 7280, 8757, 11286, 58, 12048,
12147, 11184, 8812, 6608, 2844, 3438, 4212, 11314, 8687, 6068, 421,
8209, 3600, 3263, 7665, 6077, 7507, 5886, 3029, 6695, 4213, 504, 11684,
2302, 1962, 1594, 6328, 7183, 168, 2692, 8960, 4298, 5184, 11089, 6122,
9734, 10929, 3956, 5297, 6170, 3762, 9370, 4016, 4077, 6523, 652, 11994,
6099, 1146, 11341, 11964, 10885, 6299, 1159, 8240, 8561, 11177, 2078,
10331, 4322, 11367, 441, 4079, 11231, 3150, 1319, 8243, 709, 8049, 8719,
11454, 6224, 3054, 6803, 3123, 10542, 4433, 6370, 7032, 3834, 8633,
12225, 9830, 683, 1566, 5782, 9786, 9341, 12115, 723, 3009, 1693, 5735,
2655, 2738, 6421, 11942, 2925, 1975, 8532, 3315, 11863, 4754, 1858,
1583, 6347, 2500, 10800, 6374, 1483, 12240, 1263, 1815, 5383, 10777,
350, 6920, 10232, 4493, 9087, 8855, 8760, 9381, 218, 9928, 10446, 9259,
4115, 6147, 9842, 8326, 576, 10335, 10238, 10484, 9407, 6381, 11836,
8517, 418, 6860, 7515, 1293, 7552, 2767, 156, 8298, 8320, 10008, 5876,
5333, 10258, 10115, 4372, 2847, 7875, 8232, 9018, 8925, 1689, 8236,
2645, 5042, 9984, 7094, 9509, 1484, 7394, 3, 4437, 160, 3149, 113, 7370,
10123, 3915, 6998, 2704, 8653, 4938, 1426, 7635, 10512, 1663, 6957,
3510, 2370, 2865, 3978, 9320, 3247, 9603, 6882, 3186, 10659, 10163,
1153, 9405, 8241, 10040, 2178, 1544, 5559, 420, 8304, 4905, 476, 3531,
5191, 9153, 2399, 8889, 3000, 671, 243, 3016, 3763, 10849, 12262, 9223,
10657, 7205, 11272, 7404, 7575, 8146, 10752, 242, 2678, 3704, 11744,
5019, 3833, 3778, 11899, 773, 5101, 11222, 9888, 442, 2912, 5698, 11935,
4861, 7277, 9808, 11244, 2859, 3780, 11414, 4976, 10682, 7201, 8005,
11287, 5011, 6267, 2987, 2437, 3646, 2566, 10102, 9867, 6250, 5444,
2381, 11796, 8193, 4337, 11854, 1912, 1378, 404, 7644, 1065, 2143,
11121, 5277, 3248, 11082, 2548, 8058, 8907, 11934, 1759, 8582, 3694,
7110, 12144, 6747, 8652, 3459, 2731, 8357, 6378, 7399, 10861, 1696,
9863, 334, 7657, 6534, 11029, 4388, 11560, 3241, 10276, 9000, 9408,
3284, 10200, 7197, 6498, 544, 2468, 339, 11267, 9, 2842, 480, 5331,
7300, 1673, 4278, 4177, 8705, 9764, 1381, 7837, 2396, 8340, 8993, 4354,
130, 6915, 2837, 11462, 5767, 953, 8541, 9813, 118, 7222, 2197, 3006,
9545, 563, 9314, 2625, 11340, 4821, 2639, 7266, 5828, 6561, 7698, 3328,
6512, 1351, 7311, 6553, 8155, 1305, 722, 5146, 4043, 12288, 10810, 2545,
3621, 8747, 8785, 1646, 1212, 5860, 3195, 7203, 10963, 3201, 3014, 955,
11499, 9970, 11119, 3135, 3712, 7443, 9542, 7484, 8736, 9995, 11227,
1635, 9521, 1177, 8034, 140, 10436, 11563, 7678, 4320, 11289, 9198,
12208, 2963, 7393, 2366, 9238,
}
var psisBitrevMontgomery = [paramN]uint16{
4075, 6974, 7373, 7965, 3262, 5079, 522, 2169, 6364, 1018, 1041, 8775, 2344,
11011, 5574, 1973, 4536, 1050, 6844, 3860, 3818, 6118, 2683, 1190, 4789,
7822, 7540, 6752, 5456, 4449, 3789, 12142, 11973, 382, 3988, 468, 6843,
5339, 6196, 3710, 11316, 1254, 5435, 10930, 3998, 10256, 10367, 3879,
11889, 1728, 6137, 4948, 5862, 6136, 3643, 6874, 8724, 654, 10302, 1702,
7083, 6760, 56, 3199, 9987, 605, 11785, 8076, 5594, 9260, 6403, 4782,
6212, 4624, 9026, 8689, 4080, 11868, 6221, 3602, 975, 8077, 8851, 9445,
5681, 3477, 1105, 142, 241, 12231, 1003, 3532, 5009, 1956, 6008, 11404,
7377, 2049, 10968, 12097, 7591, 5057, 3445, 4780, 2920, 7048, 3127,
8120, 11279, 6821, 11502, 8807, 12138, 2127, 2839, 3957, 431, 1579,
6383, 9784, 5874, 677, 3336, 6234, 2766, 1323, 9115, 12237, 2031, 6956,
6413, 2281, 3969, 3991, 12133, 9522, 4737, 10996, 4774, 5429, 11871,
3772, 453, 5908, 2882, 1805, 2051, 1954, 11713, 3963, 2447, 6142, 8174,
3030, 1843, 2361, 12071, 2908, 3529, 3434, 3202, 7796, 2057, 5369,
11939, 1512, 6906, 10474, 11026, 49, 10806, 5915, 1489, 9789, 5942,
10706, 10431, 7535, 426, 8974, 3757, 10314, 9364, 347, 5868, 9551, 9634,
6554, 10596, 9280, 11566, 174, 2948, 2503, 6507, 10723, 11606, 2459, 64,
3656, 8455, 5257, 5919, 7856, 1747, 9166, 5486, 9235, 6065, 835, 3570,
4240, 11580, 4046, 10970, 9139, 1058, 8210, 11848, 922, 7967, 1958,
10211, 1112, 3728, 4049, 11130, 5990, 1404, 325, 948, 11143, 6190, 295,
11637, 5766, 8212, 8273, 2919, 8527, 6119, 6992, 8333, 1360, 2555, 6167,
1200, 7105, 7991, 3329, 9597, 12121, 5106, 5961, 10695, 10327, 3051,
9923, 4896, 9326, 81, 3091, 1000, 7969, 4611, 726, 1853, 12149, 4255,
11112, 2768, 10654, 1062, 2294, 3553, 4805, 2747, 4846, 8577, 9154,
1170, 2319, 790, 11334, 9275, 9088, 1326, 5086, 9094, 6429, 11077,
10643, 3504, 3542, 8668, 9744, 1479, 1, 8246, 7143, 11567, 10984, 4134,
5736, 4978, 10938, 5777, 8961, 4591, 5728, 6461, 5023, 9650, 7468, 949,
9664, 2975, 11726, 2744, 9283, 10092, 5067, 12171, 2476, 3748, 11336,
6522, 827, 9452, 5374, 12159, 7935, 3296, 3949, 9893, 4452, 10908, 2525,
3584, 8112, 8011, 10616, 4989, 6958, 11809, 9447, 12280, 1022, 11950,
9821, 11745, 5791, 5092, 2089, 9005, 2881, 3289, 2013, 9048, 729, 7901,
1260, 5755, 4632, 11955, 2426, 10593, 1428, 4890, 5911, 3932, 9558,
8830, 3637, 5542, 145, 5179, 8595, 3707, 10530, 355, 3382, 4231, 9741,
1207, 9041, 7012, 1168, 10146, 11224, 4645, 11885, 10911, 10377, 435,
7952, 4096, 493, 9908, 6845, 6039, 2422, 2187, 9723, 8643, 9852, 9302,
6022, 7278, 1002, 4284, 5088, 1607, 7313, 875, 8509, 9430, 1045, 2481,
5012, 7428, 354, 6591, 9377, 11847, 2401, 1067, 7188, 11516, 390, 8511,
8456, 7270, 545, 8585, 9611, 12047, 1537, 4143, 4714, 4885, 1017, 5084,
1632, 3066, 27, 1440, 8526, 9273, 12046, 11618, 9289, 3400, 9890, 3136,
7098, 8758, 11813, 7384, 3985, 11869, 6730, 10745, 10111, 2249, 4048,
2884, 11136, 2126, 1630, 9103, 5407, 2686, 9042, 2969, 8311, 9424, 9919,
8779, 5332, 10626, 1777, 4654, 10863, 7351, 3636, 9585, 5291, 8374,
2166, 4919, 12176, 9140, 12129, 7852, 12286, 4895, 10805, 2780, 5195,
2305, 7247, 9644, 4053, 10600, 3364, 3271, 4057, 4414, 9442, 7917, 2174,
3947, 11951, 2455, 6599, 10545, 10975, 3654, 2894, 7681, 7126, 7287,
12269, 4119, 3343, 2151, 1522, 7174, 7350, 11041, 2442, 2148, 5959,
6492, 8330, 8945, 5598, 3624, 10397, 1325, 6565, 1945, 11260, 10077,
2674, 3338, 3276, 11034, 506, 6505, 1392, 5478, 8778, 1178, 2776, 3408,
10347, 11124, 2575, 9489, 12096, 6092, 10058, 4167, 6085, 923, 11251,
11912, 4578, 10669, 11914, 425, 10453, 392, 10104, 8464, 4235, 8761,
7376, 2291, 3375, 7954, 8896, 6617, 7790, 1737, 11667, 3982, 9342, 6680,
636, 6825, 7383, 512, 4670, 2900, 12050, 7735, 994, 1687, 11883, 7021,
146, 10485, 1403, 5189, 6094, 2483, 2054, 3042, 10945, 3981, 10821,
11826, 8882, 8151, 180, 9600, 7684, 5219, 10880, 6780, 204, 11232, 2600,
7584, 3121, 3017, 11053, 7814, 7043, 4251, 4739, 11063, 6771, 7073,
9261, 2360, 11925, 1928, 11825, 8024, 3678, 3205, 3359, 11197, 5209,
8581, 3238, 8840, 1136, 9363, 1826, 3171, 4489, 7885, 346, 2068, 1389,
8257, 3163, 4840, 6127, 8062, 8921, 612, 4238, 10763, 8067, 125, 11749,
10125, 5416, 2110, 716, 9839, 10584, 11475, 11873, 3448, 343, 1908,
4538, 10423, 7078, 4727, 1208, 11572, 3589, 2982, 1373, 1721, 10753,
4103, 2429, 4209, 5412, 5993, 9011, 438, 3515, 7228, 1218, 8347, 5232,
8682, 1327, 7508, 4924, 448, 1014, 10029, 12221, 4566, 5836, 12229,
2717, 1535, 3200, 5588, 5845, 412, 5102, 7326, 3744, 3056, 2528, 7406,
8314, 9202, 6454, 6613, 1417, 10032, 7784, 1518, 3765, 4176, 5063, 9828,
2275, 6636, 4267, 6463, 2065, 7725, 3495, 8328, 8755, 8144, 10533, 5966,
12077, 9175, 9520, 5596, 6302, 8400, 579, 6781, 11014, 5734, 11113,
11164, 4860, 1131, 10844, 9068, 8016, 9694, 3837, 567, 9348, 7000, 6627,
7699, 5082, 682, 11309, 5207, 4050, 7087, 844, 7434, 3769, 293, 9057,
6940, 9344, 10883, 2633, 8190, 3944, 5530, 5604, 3480, 2171, 9282,
11024, 2213, 8136, 3805, 767, 12239, 216, 11520, 6763, 10353, 7, 8566,
845, 7235, 3154, 4360, 3285, 10268, 2832, 3572, 1282, 7559, 3229, 8360,
10583, 6105, 3120, 6643, 6203, 8536, 8348, 6919, 3536, 9199, 10891,
11463, 5043, 1658, 5618, 8787, 5789, 4719, 751, 11379, 6389, 10783,
3065, 7806, 6586, 2622, 5386, 510, 7628, 6921, 578, 10345, 11839, 8929,
4684, 12226, 7154, 9916, 7302, 8481, 3670, 11066, 2334, 1590, 7878,
10734, 1802, 1891, 5103, 6151, 8820, 3418, 7846, 9951, 4693, 417, 9996,
9652, 4510, 2946, 5461, 365, 881, 1927, 1015, 11675, 11009, 1371, 12265,
2485, 11385, 5039, 6742, 8449, 1842, 12217, 8176, 9577, 4834, 7937,
9461, 2643, 11194, 3045, 6508, 4094, 3451, 7911, 11048, 5406, 4665,
3020, 6616, 11345, 7519, 3669, 5287, 1790, 7014, 5410, 11038, 11249,
2035, 6125, 10407, 4565, 7315, 5078, 10506, 2840, 2478, 9270, 4194,
9195, 4518, 7469, 1160, 6878, 2730, 10421, 10036, 1734, 3815, 10939,
5832, 10595, 10759, 4423, 8420, 9617, 7119, 11010, 11424, 9173, 189,
10080, 10526, 3466, 10588, 7592, 3578, 11511, 7785, 9663, 530, 12150,
8957, 2532, 3317, 9349, 10243, 1481, 9332, 3454, 3758, 7899, 4218, 2593,
11410, 2276, 982, 6513, 1849, 8494, 9021, 4523, 7988, 8, 457, 648, 150,
8000, 2307, 2301, 874, 5650, 170, 9462, 2873, 9855, 11498, 2535, 11169,
5808, 12268, 9687, 1901, 7171, 11787, 3846, 1573, 6063, 3793, 466,
11259, 10608, 3821, 6320, 4649, 6263, 2929,
}
var psisInvMontgomery = [paramN]uint16{
256, 10570, 1510, 7238, 1034, 7170, 6291, 7921, 11665, 3422, 4000, 2327,
2088, 5565, 795, 10647, 1521, 5484, 2539, 7385, 1055, 7173, 8047, 11683,
1669, 1994, 3796, 5809, 4341, 9398, 11876, 12230, 10525, 12037, 12253,
3506, 4012, 9351, 4847, 2448, 7372, 9831, 3160, 2207, 5582, 2553, 7387,
6322, 9681, 1383, 10731, 1533, 219, 5298, 4268, 7632, 6357, 9686, 8406,
4712, 9451, 10128, 4958, 5975, 11387, 8649, 11769, 6948, 11526, 12180,
1740, 10782, 6807, 2728, 7412, 4570, 4164, 4106, 11120, 12122, 8754,
11784, 3439, 5758, 11356, 6889, 9762, 11928, 1704, 1999, 10819, 12079,
12259, 7018, 11536, 1648, 1991, 2040, 2047, 2048, 10826, 12080, 8748,
8272, 8204, 1172, 1923, 7297, 2798, 7422, 6327, 4415, 7653, 6360, 11442,
12168, 7005, 8023, 9924, 8440, 8228, 2931, 7441, 1063, 3663, 5790, 9605,
10150, 1450, 8985, 11817, 10466, 10273, 12001, 3470, 7518, 1074, 1909,
7295, 9820, 4914, 702, 5367, 7789, 8135, 9940, 1420, 3714, 11064, 12114,
12264, 1752, 5517, 9566, 11900, 1700, 3754, 5803, 829, 1874, 7290, 2797,
10933, 5073, 7747, 8129, 6428, 6185, 11417, 1631, 233, 5300, 9535,
10140, 11982, 8734, 8270, 2937, 10953, 8587, 8249, 2934, 9197, 4825,
5956, 4362, 9401, 1343, 3703, 529, 10609, 12049, 6988, 6265, 895, 3639,
4031, 4087, 4095, 585, 10617, 8539, 4731, 4187, 9376, 3095, 9220, 10095,
10220, 1460, 10742, 12068, 1724, 5513, 11321, 6884, 2739, 5658, 6075,
4379, 11159, 10372, 8504, 4726, 9453, 3106, 7466, 11600, 10435, 8513,
9994, 8450, 9985, 3182, 10988, 8592, 2983, 9204, 4826, 2445, 5616, 6069,
867, 3635, 5786, 11360, 5134, 2489, 10889, 12089, 1727, 7269, 2794,
9177, 1311, 5454, 9557, 6632, 2703, 9164, 10087, 1441, 3717, 531, 3587,
2268, 324, 5313, 759, 1864, 5533, 2546, 7386, 9833, 8427, 4715, 11207,
1601, 7251, 4547, 11183, 12131, 1733, 10781, 10318, 1474, 10744, 5046,
4232, 11138, 10369, 6748, 964, 7160, 4534, 7670, 8118, 8182, 4680,
11202, 6867, 981, 8918, 1274, 182, 26, 7026, 8026, 11680, 12202, 10521,
1503, 7237, 4545, 5916, 9623, 8397, 11733, 10454, 3249, 9242, 6587, 941,
1890, 270, 10572, 6777, 9746, 6659, 6218, 6155, 6146, 878, 1881, 7291,
11575, 12187, 1741, 7271, 8061, 11685, 6936, 4502, 9421, 4857, 4205,
7623, 1089, 10689, 1527, 8996, 10063, 11971, 10488, 6765, 2722, 3900,
9335, 11867, 6962, 11528, 5158, 4248, 4118, 5855, 2592, 5637, 6072,
2623, 7397, 8079, 9932, 4930, 5971, 853, 3633, 519, 8852, 11798, 3441,
11025, 1575, 225, 8810, 11792, 12218, 3501, 9278, 3081, 9218, 4828,
7712, 8124, 11694, 12204, 3499, 4011, 573, 3593, 5780, 7848, 9899,
10192, 1456, 208, 7052, 2763, 7417, 11593, 10434, 12024, 8740, 11782,
10461, 3250, 5731, 7841, 9898, 1414, 202, 3540, 7528, 2831, 2160, 10842,
5060, 4234, 4116, 588, 84, 12, 7024, 2759, 9172, 6577, 11473, 1639,
9012, 3043, 7457, 6332, 11438, 1634, 1989, 9062, 11828, 8712, 11778,
12216, 10523, 6770, 9745, 10170, 4964, 9487, 6622, 946, 8913, 6540,
6201, 4397, 9406, 8366, 9973, 8447, 8229, 11709, 8695, 10020, 3187,
5722, 2573, 10901, 6824, 4486, 4152, 9371, 8361, 2950, 2177, 311, 1800,
9035, 8313, 11721, 3430, 490, 70, 10, 1757, 251, 3547, 7529, 11609,
3414, 7510, 4584, 4166, 9373, 1339, 5458, 7802, 11648, 1664, 7260, 9815,
10180, 6721, 9738, 10169, 8475, 8233, 9954, 1422, 8981, 1283, 5450,
11312, 1616, 3742, 11068, 10359, 4991, 713, 3613, 9294, 8350, 4704, 672,
96, 7036, 9783, 11931, 3460, 5761, 823, 10651, 12055, 10500, 1500, 5481,
783, 3623, 11051, 8601, 8251, 8201, 11705, 10450, 5004, 4226, 7626,
2845, 2162, 3820, 7568, 9859, 3164, 452, 10598, 1514, 5483, 6050, 6131,
4387, 7649, 8115, 6426, 918, 8909, 8295, 1185, 5436, 11310, 8638, 1234,
5443, 11311, 5127, 2488, 2111, 10835, 5059, 7745, 2862, 3920, 560, 80,
1767, 2008, 3798, 11076, 6849, 2734, 10924, 12094, 8750, 1250, 10712,
6797, 971, 7161, 1023, 8924, 4786, 7706, 4612, 4170, 7618, 6355, 4419,
5898, 11376, 10403, 10264, 6733, 4473, 639, 5358, 2521, 9138, 3061,
5704, 4326, 618, 5355, 765, 5376, 768, 7132, 4530, 9425, 3102, 9221,
6584, 11474, 10417, 10266, 12000, 6981, 6264, 4406, 2385, 7363, 4563,
4163, 7617, 9866, 3165, 9230, 11852, 10471, 5007, 5982, 11388, 5138,
734, 3616, 11050, 12112, 6997, 11533, 12181, 10518, 12036, 3475, 2252,
7344, 9827, 4915, 9480, 6621, 4457, 7659, 9872, 6677, 4465, 4149, 7615,
4599, 657, 3605, 515, 10607, 6782, 4480, 640, 1847, 3775, 5806, 2585,
5636, 9583, 1369, 10729, 8555, 10000, 11962, 5220, 7768, 8132, 8184,
9947, 1421, 203, 29, 8782, 11788, 1684, 10774, 10317, 4985, 9490, 8378,
4708, 11206, 5112, 5997, 7879, 11659, 12199, 8765, 10030, 4944, 5973,
6120, 6141, 6144, 7900, 11662, 1666, 238, 34, 3516, 5769, 9602, 8394,
9977, 6692, 956, 10670, 6791, 9748, 11926, 8726, 11780, 5194, 742, 106,
8793, 10034, 3189, 10989, 5081, 4237, 5872, 4350, 2377, 10873, 6820,
6241, 11425, 10410, 10265, 3222, 5727, 9596, 4882, 2453, 2106, 3812,
11078, 12116, 5242, 4260, 11142, 8614, 11764, 12214, 5256, 4262, 4120,
11122, 5100, 11262, 5120, 2487, 5622, 9581, 8391, 8221, 2930, 10952,
12098, 6995, 6266, 9673, 4893, 699, 3611, 4027, 5842, 11368, 1624, 232,
8811, 8281, 1183, 169, 8802, 3013, 2186, 5579, 797, 3625, 4029, 11109,
1587, 7249, 11569, 8675, 6506, 2685, 10917, 12093, 12261, 12285, 1755,
7273, 1039, 1904, 272, 3550, 9285, 3082, 5707, 6082, 4380, 7648, 11626,
5172, 4250, 9385, 8363, 8217, 4685, 5936, 848, 8899, 6538, 934, 1889,
3781, 9318, 10109, 10222, 6727, 961, 5404, 772, 5377, 9546, 8386, 1198,
8949, 3034, 2189, 7335, 4559, 5918, 2601, 10905, 5069, 9502, 3113, 7467,
8089, 11689, 5181, 9518, 8382, 2953, 3933, 4073, 4093, 7607, 8109, 2914,
5683, 4323, 11151, 1593, 10761, 6804, 972, 3650, 2277, 5592, 4310, 7638,
9869, 4921, 703, 1856, 9043, 4803, 9464, 1352, 8971, 11815, 5199, 7765,
6376, 4422, 7654, 2849, 407, 8836, 6529, 7955, 2892, 9191, 1313, 10721,
12065, 12257, 1751, 9028, 8312, 2943, 2176, 3822, 546, 78, 8789, 11789,
10462, 12028, 6985, 4509, 9422, 1346, 5459, 4291, 613, 10621, 6784,
9747, 3148, 7472, 2823, 5670, 810, 7138, 8042, 4660, 7688, 6365, 6176,
6149, 2634, 5643, 9584, 10147, 11983, 5223, 9524, 11894, 10477, 8519,
1217, 3685, 2282, 326, 10580, 3267, 7489, 4581, 2410, 5611, 11335, 6886,
8006, 8166, 11700, 3427, 11023, 8597, 10006, 3185, 455, 65, 5276, 7776,
4622, 5927, 7869, 9902, 11948, 5218, 2501, 5624, 2559, 10899, 1557,
1978, 10816, 10323, 8497, 4725, 675, 1852, 10798, 12076, 10503, 3256,
9243, 3076, 2195, 10847, 12083, 10504, 12034, 10497,
}

32
vendor/git.schwanenlied.me/yawning/newhope.git/reduce.go generated vendored Normal file
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// poly.go - NewHope reductions.
//
// To the extent possible under law, Yawning Angel has waived all copyright
// and related or neighboring rights to newhope, using the Creative
// Commons "CC0" public domain dedication. See LICENSE or
// <http://creativecommons.org/publicdomain/zero/1.0/> for full details.
package newhope
// Incomplete-reduction routines; for details on allowed input ranges
// and produced output ranges, see the description in the paper:
// https://cryptojedi.org/papers/#newhope
const (
qinv = 12287 // -inverse_mod(p,2^18)
rlog = 18
)
func montgomeryReduce(a uint32) uint16 {
u := a * qinv
u &= ((1 << rlog) - 1)
u *= paramQ
a = (a + u) >> 18
return uint16(a)
}
func barrettReduce(a uint16) uint16 {
u := (uint32(a) * 5) >> 16
u *= paramQ
a -= uint16(u)
return a
}

5
vendor/github.com/jameskeane/bcrypt/.gitignore generated vendored Normal file
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@ -0,0 +1,5 @@
6.out
*.6
_obj
_test
_testmain.go

29
vendor/github.com/jameskeane/bcrypt/LICENSE generated vendored Normal file
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Copyright (c) 2011 James Keane <james.keane@gmail.com>. All rights reserved.
Copyright (c) 2006 Damien Miller <djm@mindrot.org>.
Copyright (c) 2011 ZooWar.com, All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above
copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the
distribution.
* Neither the name of weekendlogic nor the names of its
contributors may be used to endorse or promote products derived from
this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

46
vendor/github.com/jameskeane/bcrypt/README generated vendored Normal file
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Installation:
goinstall github.com/jameskeane/bcrypt
Example use:
package main
import (
"fmt"
"github.com/jameskeane/bcrypt"
)
var password = "WyWihatdyd?frub1"
var bad_password = "just a wild guess"
func main() {
// generate a random salt with default rounds of complexity
salt, _ := bcrypt.Salt()
// generate a random salt with 10 rounds of complexity
salt, _ = bcrypt.Salt(10)
// hash and verify a password with random salt
hash, _ := bcrypt.Hash(password)
if bcrypt.Match(password, hash) {
fmt.Println("They match")
}
// hash and verify a password with a static salt
hash, _ = bcrypt.Hash(password, salt)
if bcrypt.Match(password, hash) {
fmt.Println("They match")
}
// verify a random password fails to match the hashed password
if !bcrypt.Match(bad_password, hash) {
fmt.Println("They don't match")
}
}
Todo:
grep 'TODO' * -r
Notes:
* This library is derived from jBcrypt by Damien Miller <djm@mindrot.org>
* bcrypt_test.go is from ZooWar.com

190
vendor/github.com/jameskeane/bcrypt/bcrypt.go generated vendored Normal file
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package bcrypt
import (
"bytes"
"crypto/rand"
"crypto/subtle"
"encoding/base64"
"errors"
"strconv"
"strings"
)
var (
InvalidRounds = errors.New("bcrypt: Invalid rounds parameter")
InvalidSalt = errors.New("bcrypt: Invalid salt supplied")
)
const (
MaxRounds = 31
MinRounds = 4
DefaultRounds = 12
SaltLen = 16
BlowfishRounds = 16
)
var enc = base64.NewEncoding("./ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789")
// Helper function to build the bcrypt hash string
// payload takes :
// * []byte -> which it base64 encodes it (trims padding "=") and writes it to the buffer
// * string -> which it writes straight to the buffer
func build_bcrypt_str(minor byte, rounds uint, payload ...interface{}) []byte {
rs := bytes.NewBuffer(make([]byte, 0, 61))
rs.WriteString("$2")
if minor >= 'a' {
rs.WriteByte(minor)
}
rs.WriteByte('$')
if rounds < 10 {
rs.WriteByte('0')
}
rs.WriteString(strconv.FormatUint(uint64(rounds), 10))
rs.WriteByte('$')
for _, p := range payload {
if pb, ok := p.([]byte); ok {
rs.WriteString(strings.TrimRight(enc.EncodeToString(pb), "="))
} else if ps, ok := p.(string); ok {
rs.WriteString(ps)
}
}
return rs.Bytes()
}
// Salt generation
func Salt(rounds ...int) (string, error) {
rb, err := SaltBytes(rounds...)
return string(rb), err
}
func SaltBytes(rounds ...int) (salt []byte, err error) {
r := DefaultRounds
if len(rounds) > 0 {
r = rounds[0]
if r < MinRounds || r > MaxRounds {
return nil, InvalidRounds
}
}
rnd := make([]byte, SaltLen)
read, err := rand.Read(rnd)
if read != SaltLen || err != nil {
return nil, err
}
return build_bcrypt_str('a', uint(r), rnd), nil
}
func consume(r *bytes.Buffer, b byte) bool {
got, err := r.ReadByte()
if err != nil {
return false
}
if got != b {
r.UnreadByte()
return false
}
return true
}
func Hash(password string, salt ...string) (ps string, err error) {
var s []byte
var pb []byte
if len(salt) == 0 {
s, err = SaltBytes()
if err != nil {
return
}
} else if len(salt) > 0 {
s = []byte(salt[0])
}
pb, err = HashBytes([]byte(password), s)
return string(pb), err
}
func HashBytes(password []byte, salt ...[]byte) (hash []byte, err error) {
var s []byte
if len(salt) == 0 {
s, err = SaltBytes()
if err != nil {
return
}
} else if len(salt) > 0 {
s = salt[0]
}
// TODO: use a regex? I hear go has bad regex performance a simple FSM seems faster
// "^\\$2([a-z]?)\\$([0-3][0-9])\\$([\\./A-Za-z0-9]{22}+)"
// Ok, extract the required information
minor := byte(0)
sr := bytes.NewBuffer(s)
if !consume(sr, '$') || !consume(sr, '2') {
return nil, InvalidSalt
}
if !consume(sr, '$') {
minor, _ = sr.ReadByte()
if minor != 'a' || !consume(sr, '$') {
return nil, InvalidSalt
}
}
rounds_bytes := make([]byte, 2)
read, err := sr.Read(rounds_bytes)
if err != nil || read != 2 {
return nil, InvalidSalt
}
if !consume(sr, '$') {
return nil, InvalidSalt
}
var rounds64 uint64
rounds64, err = strconv.ParseUint(string(rounds_bytes), 10, 0)
if err != nil {
return nil, InvalidSalt
}
rounds := uint(rounds64)
// TODO: can't we use base64.NewDecoder(enc, sr) ?
salt_bytes := make([]byte, 22)
read, err = sr.Read(salt_bytes)
if err != nil || read != 22 {
return nil, InvalidSalt
}
var saltb []byte
// encoding/base64 expects 4 byte blocks padded, since bcrypt uses only 22 bytes we need to go up
saltb, err = enc.DecodeString(string(salt_bytes) + "==")
if err != nil {
return nil, err
}
// cipher expects null terminated input (go initializes everything with zero values so this works)
password_term := make([]byte, len(password)+1)
copy(password_term, password)
hashed := crypt_raw(password_term, saltb[:SaltLen], rounds)
return build_bcrypt_str(minor, rounds, string(salt_bytes), hashed[:len(bf_crypt_ciphertext)*4-1]), nil
}
func Match(password, hash string) bool {
return MatchBytes([]byte(password), []byte(hash))
}
func MatchBytes(password []byte, hash []byte) bool {
h, err := HashBytes(password, hash)
if err != nil {
return false
}
return subtle.ConstantTimeCompare(h, hash) == 1
}

415
vendor/github.com/jameskeane/bcrypt/cipher.go generated vendored Normal file
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package bcrypt
var p_orig = [18]uint{
0x243f6a88, 0x85a308d3, 0x13198a2e, 0x03707344,
0xa4093822, 0x299f31d0, 0x082efa98, 0xec4e6c89,
0x452821e6, 0x38d01377, 0xbe5466cf, 0x34e90c6c,
0xc0ac29b7, 0xc97c50dd, 0x3f84d5b5, 0xb5470917,
0x9216d5d9, 0x8979fb1b,
}
var s_orig = [1024]uint{
0xd1310ba6, 0x98dfb5ac, 0x2ffd72db, 0xd01adfb7,
0xb8e1afed, 0x6a267e96, 0xba7c9045, 0xf12c7f99,
0x24a19947, 0xb3916cf7, 0x0801f2e2, 0x858efc16,
0x636920d8, 0x71574e69, 0xa458fea3, 0xf4933d7e,
0x0d95748f, 0x728eb658, 0x718bcd58, 0x82154aee,
0x7b54a41d, 0xc25a59b5, 0x9c30d539, 0x2af26013,
0xc5d1b023, 0x286085f0, 0xca417918, 0xb8db38ef,
0x8e79dcb0, 0x603a180e, 0x6c9e0e8b, 0xb01e8a3e,
0xd71577c1, 0xbd314b27, 0x78af2fda, 0x55605c60,
0xe65525f3, 0xaa55ab94, 0x57489862, 0x63e81440,
0x55ca396a, 0x2aab10b6, 0xb4cc5c34, 0x1141e8ce,
0xa15486af, 0x7c72e993, 0xb3ee1411, 0x636fbc2a,
0x2ba9c55d, 0x741831f6, 0xce5c3e16, 0x9b87931e,
0xafd6ba33, 0x6c24cf5c, 0x7a325381, 0x28958677,
0x3b8f4898, 0x6b4bb9af, 0xc4bfe81b, 0x66282193,
0x61d809cc, 0xfb21a991, 0x487cac60, 0x5dec8032,
0xef845d5d, 0xe98575b1, 0xdc262302, 0xeb651b88,
0x23893e81, 0xd396acc5, 0x0f6d6ff3, 0x83f44239,
0x2e0b4482, 0xa4842004, 0x69c8f04a, 0x9e1f9b5e,
0x21c66842, 0xf6e96c9a, 0x670c9c61, 0xabd388f0,
0x6a51a0d2, 0xd8542f68, 0x960fa728, 0xab5133a3,
0x6eef0b6c, 0x137a3be4, 0xba3bf050, 0x7efb2a98,
0xa1f1651d, 0x39af0176, 0x66ca593e, 0x82430e88,
0x8cee8619, 0x456f9fb4, 0x7d84a5c3, 0x3b8b5ebe,
0xe06f75d8, 0x85c12073, 0x401a449f, 0x56c16aa6,
0x4ed3aa62, 0x363f7706, 0x1bfedf72, 0x429b023d,
0x37d0d724, 0xd00a1248, 0xdb0fead3, 0x49f1c09b,
0x075372c9, 0x80991b7b, 0x25d479d8, 0xf6e8def7,
0xe3fe501a, 0xb6794c3b, 0x976ce0bd, 0x04c006ba,
0xc1a94fb6, 0x409f60c4, 0x5e5c9ec2, 0x196a2463,
0x68fb6faf, 0x3e6c53b5, 0x1339b2eb, 0x3b52ec6f,
0x6dfc511f, 0x9b30952c, 0xcc814544, 0xaf5ebd09,
0xbee3d004, 0xde334afd, 0x660f2807, 0x192e4bb3,
0xc0cba857, 0x45c8740f, 0xd20b5f39, 0xb9d3fbdb,
0x5579c0bd, 0x1a60320a, 0xd6a100c6, 0x402c7279,
0x679f25fe, 0xfb1fa3cc, 0x8ea5e9f8, 0xdb3222f8,
0x3c7516df, 0xfd616b15, 0x2f501ec8, 0xad0552ab,
0x323db5fa, 0xfd238760, 0x53317b48, 0x3e00df82,
0x9e5c57bb, 0xca6f8ca0, 0x1a87562e, 0xdf1769db,
0xd542a8f6, 0x287effc3, 0xac6732c6, 0x8c4f5573,
0x695b27b0, 0xbbca58c8, 0xe1ffa35d, 0xb8f011a0,
0x10fa3d98, 0xfd2183b8, 0x4afcb56c, 0x2dd1d35b,
0x9a53e479, 0xb6f84565, 0xd28e49bc, 0x4bfb9790,
0xe1ddf2da, 0xa4cb7e33, 0x62fb1341, 0xcee4c6e8,
0xef20cada, 0x36774c01, 0xd07e9efe, 0x2bf11fb4,
0x95dbda4d, 0xae909198, 0xeaad8e71, 0x6b93d5a0,
0xd08ed1d0, 0xafc725e0, 0x8e3c5b2f, 0x8e7594b7,
0x8ff6e2fb, 0xf2122b64, 0x8888b812, 0x900df01c,
0x4fad5ea0, 0x688fc31c, 0xd1cff191, 0xb3a8c1ad,
0x2f2f2218, 0xbe0e1777, 0xea752dfe, 0x8b021fa1,
0xe5a0cc0f, 0xb56f74e8, 0x18acf3d6, 0xce89e299,
0xb4a84fe0, 0xfd13e0b7, 0x7cc43b81, 0xd2ada8d9,
0x165fa266, 0x80957705, 0x93cc7314, 0x211a1477,
0xe6ad2065, 0x77b5fa86, 0xc75442f5, 0xfb9d35cf,
0xebcdaf0c, 0x7b3e89a0, 0xd6411bd3, 0xae1e7e49,
0x00250e2d, 0x2071b35e, 0x226800bb, 0x57b8e0af,
0x2464369b, 0xf009b91e, 0x5563911d, 0x59dfa6aa,
0x78c14389, 0xd95a537f, 0x207d5ba2, 0x02e5b9c5,
0x83260376, 0x6295cfa9, 0x11c81968, 0x4e734a41,
0xb3472dca, 0x7b14a94a, 0x1b510052, 0x9a532915,
0xd60f573f, 0xbc9bc6e4, 0x2b60a476, 0x81e67400,
0x08ba6fb5, 0x571be91f, 0xf296ec6b, 0x2a0dd915,
0xb6636521, 0xe7b9f9b6, 0xff34052e, 0xc5855664,
0x53b02d5d, 0xa99f8fa1, 0x08ba4799, 0x6e85076a,
0x4b7a70e9, 0xb5b32944, 0xdb75092e, 0xc4192623,
0xad6ea6b0, 0x49a7df7d, 0x9cee60b8, 0x8fedb266,
0xecaa8c71, 0x699a17ff, 0x5664526c, 0xc2b19ee1,
0x193602a5, 0x75094c29, 0xa0591340, 0xe4183a3e,
0x3f54989a, 0x5b429d65, 0x6b8fe4d6, 0x99f73fd6,
0xa1d29c07, 0xefe830f5, 0x4d2d38e6, 0xf0255dc1,
0x4cdd2086, 0x8470eb26, 0x6382e9c6, 0x021ecc5e,
0x09686b3f, 0x3ebaefc9, 0x3c971814, 0x6b6a70a1,
0x687f3584, 0x52a0e286, 0xb79c5305, 0xaa500737,
0x3e07841c, 0x7fdeae5c, 0x8e7d44ec, 0x5716f2b8,
0xb03ada37, 0xf0500c0d, 0xf01c1f04, 0x0200b3ff,
0xae0cf51a, 0x3cb574b2, 0x25837a58, 0xdc0921bd,
0xd19113f9, 0x7ca92ff6, 0x94324773, 0x22f54701,
0x3ae5e581, 0x37c2dadc, 0xc8b57634, 0x9af3dda7,
0xa9446146, 0x0fd0030e, 0xecc8c73e, 0xa4751e41,
0xe238cd99, 0x3bea0e2f, 0x3280bba1, 0x183eb331,
0x4e548b38, 0x4f6db908, 0x6f420d03, 0xf60a04bf,
0x2cb81290, 0x24977c79, 0x5679b072, 0xbcaf89af,
0xde9a771f, 0xd9930810, 0xb38bae12, 0xdccf3f2e,
0x5512721f, 0x2e6b7124, 0x501adde6, 0x9f84cd87,
0x7a584718, 0x7408da17, 0xbc9f9abc, 0xe94b7d8c,
0xec7aec3a, 0xdb851dfa, 0x63094366, 0xc464c3d2,
0xef1c1847, 0x3215d908, 0xdd433b37, 0x24c2ba16,
0x12a14d43, 0x2a65c451, 0x50940002, 0x133ae4dd,
0x71dff89e, 0x10314e55, 0x81ac77d6, 0x5f11199b,
0x043556f1, 0xd7a3c76b, 0x3c11183b, 0x5924a509,
0xf28fe6ed, 0x97f1fbfa, 0x9ebabf2c, 0x1e153c6e,
0x86e34570, 0xeae96fb1, 0x860e5e0a, 0x5a3e2ab3,
0x771fe71c, 0x4e3d06fa, 0x2965dcb9, 0x99e71d0f,
0x803e89d6, 0x5266c825, 0x2e4cc978, 0x9c10b36a,
0xc6150eba, 0x94e2ea78, 0xa5fc3c53, 0x1e0a2df4,
0xf2f74ea7, 0x361d2b3d, 0x1939260f, 0x19c27960,
0x5223a708, 0xf71312b6, 0xebadfe6e, 0xeac31f66,
0xe3bc4595, 0xa67bc883, 0xb17f37d1, 0x018cff28,
0xc332ddef, 0xbe6c5aa5, 0x65582185, 0x68ab9802,
0xeecea50f, 0xdb2f953b, 0x2aef7dad, 0x5b6e2f84,
0x1521b628, 0x29076170, 0xecdd4775, 0x619f1510,
0x13cca830, 0xeb61bd96, 0x0334fe1e, 0xaa0363cf,
0xb5735c90, 0x4c70a239, 0xd59e9e0b, 0xcbaade14,
0xeecc86bc, 0x60622ca7, 0x9cab5cab, 0xb2f3846e,
0x648b1eaf, 0x19bdf0ca, 0xa02369b9, 0x655abb50,
0x40685a32, 0x3c2ab4b3, 0x319ee9d5, 0xc021b8f7,
0x9b540b19, 0x875fa099, 0x95f7997e, 0x623d7da8,
0xf837889a, 0x97e32d77, 0x11ed935f, 0x16681281,
0x0e358829, 0xc7e61fd6, 0x96dedfa1, 0x7858ba99,
0x57f584a5, 0x1b227263, 0x9b83c3ff, 0x1ac24696,
0xcdb30aeb, 0x532e3054, 0x8fd948e4, 0x6dbc3128,
0x58ebf2ef, 0x34c6ffea, 0xfe28ed61, 0xee7c3c73,
0x5d4a14d9, 0xe864b7e3, 0x42105d14, 0x203e13e0,
0x45eee2b6, 0xa3aaabea, 0xdb6c4f15, 0xfacb4fd0,
0xc742f442, 0xef6abbb5, 0x654f3b1d, 0x41cd2105,
0xd81e799e, 0x86854dc7, 0xe44b476a, 0x3d816250,
0xcf62a1f2, 0x5b8d2646, 0xfc8883a0, 0xc1c7b6a3,
0x7f1524c3, 0x69cb7492, 0x47848a0b, 0x5692b285,
0x095bbf00, 0xad19489d, 0x1462b174, 0x23820e00,
0x58428d2a, 0x0c55f5ea, 0x1dadf43e, 0x233f7061,
0x3372f092, 0x8d937e41, 0xd65fecf1, 0x6c223bdb,
0x7cde3759, 0xcbee7460, 0x4085f2a7, 0xce77326e,
0xa6078084, 0x19f8509e, 0xe8efd855, 0x61d99735,
0xa969a7aa, 0xc50c06c2, 0x5a04abfc, 0x800bcadc,
0x9e447a2e, 0xc3453484, 0xfdd56705, 0x0e1e9ec9,
0xdb73dbd3, 0x105588cd, 0x675fda79, 0xe3674340,
0xc5c43465, 0x713e38d8, 0x3d28f89e, 0xf16dff20,
0x153e21e7, 0x8fb03d4a, 0xe6e39f2b, 0xdb83adf7,
0xe93d5a68, 0x948140f7, 0xf64c261c, 0x94692934,
0x411520f7, 0x7602d4f7, 0xbcf46b2e, 0xd4a20068,
0xd4082471, 0x3320f46a, 0x43b7d4b7, 0x500061af,
0x1e39f62e, 0x97244546, 0x14214f74, 0xbf8b8840,
0x4d95fc1d, 0x96b591af, 0x70f4ddd3, 0x66a02f45,
0xbfbc09ec, 0x03bd9785, 0x7fac6dd0, 0x31cb8504,
0x96eb27b3, 0x55fd3941, 0xda2547e6, 0xabca0a9a,
0x28507825, 0x530429f4, 0x0a2c86da, 0xe9b66dfb,
0x68dc1462, 0xd7486900, 0x680ec0a4, 0x27a18dee,
0x4f3ffea2, 0xe887ad8c, 0xb58ce006, 0x7af4d6b6,
0xaace1e7c, 0xd3375fec, 0xce78a399, 0x406b2a42,
0x20fe9e35, 0xd9f385b9, 0xee39d7ab, 0x3b124e8b,
0x1dc9faf7, 0x4b6d1856, 0x26a36631, 0xeae397b2,
0x3a6efa74, 0xdd5b4332, 0x6841e7f7, 0xca7820fb,
0xfb0af54e, 0xd8feb397, 0x454056ac, 0xba489527,
0x55533a3a, 0x20838d87, 0xfe6ba9b7, 0xd096954b,
0x55a867bc, 0xa1159a58, 0xcca92963, 0x99e1db33,
0xa62a4a56, 0x3f3125f9, 0x5ef47e1c, 0x9029317c,
0xfdf8e802, 0x04272f70, 0x80bb155c, 0x05282ce3,
0x95c11548, 0xe4c66d22, 0x48c1133f, 0xc70f86dc,
0x07f9c9ee, 0x41041f0f, 0x404779a4, 0x5d886e17,
0x325f51eb, 0xd59bc0d1, 0xf2bcc18f, 0x41113564,
0x257b7834, 0x602a9c60, 0xdff8e8a3, 0x1f636c1b,
0x0e12b4c2, 0x02e1329e, 0xaf664fd1, 0xcad18115,
0x6b2395e0, 0x333e92e1, 0x3b240b62, 0xeebeb922,
0x85b2a20e, 0xe6ba0d99, 0xde720c8c, 0x2da2f728,
0xd0127845, 0x95b794fd, 0x647d0862, 0xe7ccf5f0,
0x5449a36f, 0x877d48fa, 0xc39dfd27, 0xf33e8d1e,
0x0a476341, 0x992eff74, 0x3a6f6eab, 0xf4f8fd37,
0xa812dc60, 0xa1ebddf8, 0x991be14c, 0xdb6e6b0d,
0xc67b5510, 0x6d672c37, 0x2765d43b, 0xdcd0e804,
0xf1290dc7, 0xcc00ffa3, 0xb5390f92, 0x690fed0b,
0x667b9ffb, 0xcedb7d9c, 0xa091cf0b, 0xd9155ea3,
0xbb132f88, 0x515bad24, 0x7b9479bf, 0x763bd6eb,
0x37392eb3, 0xcc115979, 0x8026e297, 0xf42e312d,
0x6842ada7, 0xc66a2b3b, 0x12754ccc, 0x782ef11c,
0x6a124237, 0xb79251e7, 0x06a1bbe6, 0x4bfb6350,
0x1a6b1018, 0x11caedfa, 0x3d25bdd8, 0xe2e1c3c9,
0x44421659, 0x0a121386, 0xd90cec6e, 0xd5abea2a,
0x64af674e, 0xda86a85f, 0xbebfe988, 0x64e4c3fe,
0x9dbc8057, 0xf0f7c086, 0x60787bf8, 0x6003604d,
0xd1fd8346, 0xf6381fb0, 0x7745ae04, 0xd736fccc,
0x83426b33, 0xf01eab71, 0xb0804187, 0x3c005e5f,
0x77a057be, 0xbde8ae24, 0x55464299, 0xbf582e61,
0x4e58f48f, 0xf2ddfda2, 0xf474ef38, 0x8789bdc2,
0x5366f9c3, 0xc8b38e74, 0xb475f255, 0x46fcd9b9,
0x7aeb2661, 0x8b1ddf84, 0x846a0e79, 0x915f95e2,
0x466e598e, 0x20b45770, 0x8cd55591, 0xc902de4c,
0xb90bace1, 0xbb8205d0, 0x11a86248, 0x7574a99e,
0xb77f19b6, 0xe0a9dc09, 0x662d09a1, 0xc4324633,
0xe85a1f02, 0x09f0be8c, 0x4a99a025, 0x1d6efe10,
0x1ab93d1d, 0x0ba5a4df, 0xa186f20f, 0x2868f169,
0xdcb7da83, 0x573906fe, 0xa1e2ce9b, 0x4fcd7f52,
0x50115e01, 0xa70683fa, 0xa002b5c4, 0x0de6d027,
0x9af88c27, 0x773f8641, 0xc3604c06, 0x61a806b5,
0xf0177a28, 0xc0f586e0, 0x006058aa, 0x30dc7d62,
0x11e69ed7, 0x2338ea63, 0x53c2dd94, 0xc2c21634,
0xbbcbee56, 0x90bcb6de, 0xebfc7da1, 0xce591d76,
0x6f05e409, 0x4b7c0188, 0x39720a3d, 0x7c927c24,
0x86e3725f, 0x724d9db9, 0x1ac15bb4, 0xd39eb8fc,
0xed545578, 0x08fca5b5, 0xd83d7cd3, 0x4dad0fc4,
0x1e50ef5e, 0xb161e6f8, 0xa28514d9, 0x6c51133c,
0x6fd5c7e7, 0x56e14ec4, 0x362abfce, 0xddc6c837,
0xd79a3234, 0x92638212, 0x670efa8e, 0x406000e0,
0x3a39ce37, 0xd3faf5cf, 0xabc27737, 0x5ac52d1b,
0x5cb0679e, 0x4fa33742, 0xd3822740, 0x99bc9bbe,
0xd5118e9d, 0xbf0f7315, 0xd62d1c7e, 0xc700c47b,
0xb78c1b6b, 0x21a19045, 0xb26eb1be, 0x6a366eb4,
0x5748ab2f, 0xbc946e79, 0xc6a376d2, 0x6549c2c8,
0x530ff8ee, 0x468dde7d, 0xd5730a1d, 0x4cd04dc6,
0x2939bbdb, 0xa9ba4650, 0xac9526e8, 0xbe5ee304,
0xa1fad5f0, 0x6a2d519a, 0x63ef8ce2, 0x9a86ee22,
0xc089c2b8, 0x43242ef6, 0xa51e03aa, 0x9cf2d0a4,
0x83c061ba, 0x9be96a4d, 0x8fe51550, 0xba645bd6,
0x2826a2f9, 0xa73a3ae1, 0x4ba99586, 0xef5562e9,
0xc72fefd3, 0xf752f7da, 0x3f046f69, 0x77fa0a59,
0x80e4a915, 0x87b08601, 0x9b09e6ad, 0x3b3ee593,
0xe990fd5a, 0x9e34d797, 0x2cf0b7d9, 0x022b8b51,
0x96d5ac3a, 0x017da67d, 0xd1cf3ed6, 0x7c7d2d28,
0x1f9f25cf, 0xadf2b89b, 0x5ad6b472, 0x5a88f54c,
0xe029ac71, 0xe019a5e6, 0x47b0acfd, 0xed93fa9b,
0xe8d3c48d, 0x283b57cc, 0xf8d56629, 0x79132e28,
0x785f0191, 0xed756055, 0xf7960e44, 0xe3d35e8c,
0x15056dd4, 0x88f46dba, 0x03a16125, 0x0564f0bd,
0xc3eb9e15, 0x3c9057a2, 0x97271aec, 0xa93a072a,
0x1b3f6d9b, 0x1e6321f5, 0xf59c66fb, 0x26dcf319,
0x7533d928, 0xb155fdf5, 0x03563482, 0x8aba3cbb,
0x28517711, 0xc20ad9f8, 0xabcc5167, 0xccad925f,
0x4de81751, 0x3830dc8e, 0x379d5862, 0x9320f991,
0xea7a90c2, 0xfb3e7bce, 0x5121ce64, 0x774fbe32,
0xa8b6e37e, 0xc3293d46, 0x48de5369, 0x6413e680,
0xa2ae0810, 0xdd6db224, 0x69852dfd, 0x09072166,
0xb39a460a, 0x6445c0dd, 0x586cdecf, 0x1c20c8ae,
0x5bbef7dd, 0x1b588d40, 0xccd2017f, 0x6bb4e3bb,
0xdda26a7e, 0x3a59ff45, 0x3e350a44, 0xbcb4cdd5,
0x72eacea8, 0xfa6484bb, 0x8d6612ae, 0xbf3c6f47,
0xd29be463, 0x542f5d9e, 0xaec2771b, 0xf64e6370,
0x740e0d8d, 0xe75b1357, 0xf8721671, 0xaf537d5d,
0x4040cb08, 0x4eb4e2cc, 0x34d2466a, 0x0115af84,
0xe1b00428, 0x95983a1d, 0x06b89fb4, 0xce6ea048,
0x6f3f3b82, 0x3520ab82, 0x011a1d4b, 0x277227f8,
0x611560b1, 0xe7933fdc, 0xbb3a792b, 0x344525bd,
0xa08839e1, 0x51ce794b, 0x2f32c9b7, 0xa01fbac9,
0xe01cc87e, 0xbcc7d1f6, 0xcf0111c3, 0xa1e8aac7,
0x1a908749, 0xd44fbd9a, 0xd0dadecb, 0xd50ada38,
0x0339c32a, 0xc6913667, 0x8df9317c, 0xe0b12b4f,
0xf79e59b7, 0x43f5bb3a, 0xf2d519ff, 0x27d9459c,
0xbf97222c, 0x15e6fc2a, 0x0f91fc71, 0x9b941525,
0xfae59361, 0xceb69ceb, 0xc2a86459, 0x12baa8d1,
0xb6c1075e, 0xe3056a0c, 0x10d25065, 0xcb03a442,
0xe0ec6e0e, 0x1698db3b, 0x4c98a0be, 0x3278e964,
0x9f1f9532, 0xe0d392df, 0xd3a0342b, 0x8971f21e,
0x1b0a7441, 0x4ba3348c, 0xc5be7120, 0xc37632d8,
0xdf359f8d, 0x9b992f2e, 0xe60b6f47, 0x0fe3f11d,
0xe54cda54, 0x1edad891, 0xce6279cf, 0xcd3e7e6f,
0x1618b166, 0xfd2c1d05, 0x848fd2c5, 0xf6fb2299,
0xf523f357, 0xa6327623, 0x93a83531, 0x56cccd02,
0xacf08162, 0x5a75ebb5, 0x6e163697, 0x88d273cc,
0xde966292, 0x81b949d0, 0x4c50901b, 0x71c65614,
0xe6c6c7bd, 0x327a140a, 0x45e1d006, 0xc3f27b9a,
0xc9aa53fd, 0x62a80f00, 0xbb25bfe2, 0x35bdd2f6,
0x71126905, 0xb2040222, 0xb6cbcf7c, 0xcd769c2b,
0x53113ec0, 0x1640e3d3, 0x38abbd60, 0x2547adf0,
0xba38209c, 0xf746ce76, 0x77afa1c5, 0x20756060,
0x85cbfe4e, 0x8ae88dd8, 0x7aaaf9b0, 0x4cf9aa7e,
0x1948c25c, 0x02fb8a8c, 0x01c36ae4, 0xd6ebe1f9,
0x90d4f869, 0xa65cdea0, 0x3f09252d, 0xc208e69f,
0xb74e6132, 0xce77e25b, 0x578fdfe3, 0x3ac372e6,
}
var bf_crypt_ciphertext = [6]uint{
0x4f727068, 0x65616e42, 0x65686f6c,
0x64657253, 0x63727944, 0x6f756274,
}
type cipher struct {
P [18]uint
S [1024]uint
data [6]uint
}
func (c *cipher) encipher(lr []uint, off int) {
l := lr[off] ^ c.P[0]
r := lr[off+1]
for i := 0; i <= BlowfishRounds-2; i += 2{
// Feistel substitution on left and right word respectively
r ^= (((c.S[(l>>24)&0xff] + c.S[0x100|((l>>16)&0xff)]) ^ c.S[0x200|((l>>8)&0xff)]) + c.S[0x300|(l&0xff)]) ^ c.P[i+1]
l ^= (((c.S[(r>>24)&0xff] + c.S[0x100|((r>>16)&0xff)]) ^ c.S[0x200|((r>>8)&0xff)]) + c.S[0x300|(r&0xff)]) ^ c.P[i+2]
}
lr[off] = r ^ c.P[BlowfishRounds+1]
lr[off+1] = l
}
/**
* Cycically extract a word of key material
* @param data the string to extract the data from
* @param off the current offset into the data
* @return the next word of material from data and the next offset into the data
*/
func streamtoword(data []byte, off int) (uint, int) {
var word uint
for i := 0; i < 4; i++ {
word = (word << 8) | uint(data[off]&0xff)
off = (off + 1) % len(data)
}
return word, off
}
/**
* Key the Blowfish cipher
* @param key an array containing the key
*/
func (c *cipher) key(key []byte) {
var word uint
off := 0
lr := []uint{0, 0}
plen := len(c.P)
slen := len(c.S)
for i := 0; i < plen; i++ {
word, off = streamtoword(key, off)
c.P[i] = c.P[i] ^ word
}
for i := 0; i < plen; i += 2 {
c.encipher(lr, 0)
c.P[i] = lr[0]
c.P[i+1] = lr[1]
}
for i := 0; i < slen; i += 2 {
c.encipher(lr, 0)
c.S[i] = lr[0]
c.S[i+1] = lr[1]
}
}
/**
* Perform the "enhanced key schedule" step described by
* Provos and Mazieres in "A Future-Adaptable Password Scheme"
* http://www.openbsd.org/papers/bcrypt-paper.ps
* @param data salt information
* @param key password information
*/
func (c *cipher) ekskey(data []byte, key []byte) {
var word uint
koff := 0
doff := 0
lr := []uint{0, 0}
plen := len(c.P)
slen := len(c.S)
for i := 0; i < plen; i++ {
word, koff = streamtoword(key, koff)
c.P[i] = c.P[i] ^ word
}
for i := 0; i < plen; i += 2 {
word, doff = streamtoword(data, doff)
lr[0] ^= word
word, doff = streamtoword(data, doff)
lr[1] ^= word
c.encipher(lr, 0)
c.P[i] = lr[0]
c.P[i+1] = lr[1]
}
for i := 0; i < slen; i += 2 {
word, doff = streamtoword(data, doff)
lr[0] ^= word
word, doff = streamtoword(data, doff)
lr[1] ^= word
c.encipher(lr, 0)
c.S[i] = lr[0]
c.S[i+1] = lr[1]
}
}
/**
* Perform the central password hashing step in the
* bcrypt scheme
* @param password the password to hash
* @param salt the binary salt to hash with the password
* @param log_rounds the binary logarithm of the number
* of rounds of hashing to apply
* @return an array containing the binary hashed password
*/
func crypt_raw(password []byte, salt []byte, log_rounds uint) []byte {
c := &cipher{P:p_orig, S:s_orig, data:bf_crypt_ciphertext}
rounds := 1 << log_rounds
c.ekskey(salt, password)
for i := 0; i < rounds; i++ {
c.key(password)
c.key(salt)
}
for i := 0; i < 64; i++ {
for j := 0; j < (6 >> 1); j++ {
c.encipher(c.data[:], j<<1)
}
}
ret := make([]byte, 24)
for i := 0; i < 6; i++ {
k := i<<2
ret[k] = (byte)((c.data[i] >> 24) & 0xff)
ret[k+1] = (byte)((c.data[i] >> 16) & 0xff)
ret[k+2] = (byte)((c.data[i] >> 8) & 0xff)
ret[k+3] = (byte)(c.data[i] & 0xff)
}
return ret
}

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# Compiled Object files, Static and Dynamic libs (Shared Objects)
*.o
*.a
*.so
# Folders
_obj
_test
# Architecture specific extensions/prefixes
*.[568vq]
[568vq].out
*.cgo1.go
*.cgo2.c
_cgo_defun.c
_cgo_gotypes.go
_cgo_export.*
_testmain.go
*.exe
*.test
*.prof

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language: go
sudo: false
os:
- linux
- osx
go:
- 1.8.x
- 1.9.x
- 1.10.x
- master
script:
- go vet ./...
- go test -v ./...
- go test -race ./...
- diff <(gofmt -d .) <("")
matrix:
allow_failures:
- go: 'master'
fast_finish: true

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Developer Certificate of Origin
Version 1.1
Copyright (C) 2015- Klaus Post & Contributors.
Email: klauspost@gmail.com
Everyone is permitted to copy and distribute verbatim copies of this
license document, but changing it is not allowed.
Developer's Certificate of Origin 1.1
By making a contribution to this project, I certify that:
(a) The contribution was created in whole or in part by me and I
have the right to submit it under the open source license
indicated in the file; or
(b) The contribution is based upon previous work that, to the best
of my knowledge, is covered under an appropriate open source
license and I have the right under that license to submit that
work with modifications, whether created in whole or in part
by me, under the same open source license (unless I am
permitted to submit under a different license), as indicated
in the file; or
(c) The contribution was provided directly to me by some other
person who certified (a), (b) or (c) and I have not modified
it.
(d) I understand and agree that this project and the contribution
are public and that a record of the contribution (including all
personal information I submit with it, including my sign-off) is
maintained indefinitely and may be redistributed consistent with
this project or the open source license(s) involved.

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The MIT License (MIT)
Copyright (c) 2015 Klaus Post
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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# cpuid
Package cpuid provides information about the CPU running the current program.
CPU features are detected on startup, and kept for fast access through the life of the application.
Currently x86 / x64 (AMD64) is supported, and no external C (cgo) code is used, which should make the library very easy to use.
You can access the CPU information by accessing the shared CPU variable of the cpuid library.
Package home: https://github.com/klauspost/cpuid
[![GoDoc][1]][2] [![Build Status][3]][4]
[1]: https://godoc.org/github.com/klauspost/cpuid?status.svg
[2]: https://godoc.org/github.com/klauspost/cpuid
[3]: https://travis-ci.org/klauspost/cpuid.svg
[4]: https://travis-ci.org/klauspost/cpuid
# features
## CPU Instructions
* **CMOV** (i686 CMOV)
* **NX** (NX (No-Execute) bit)
* **AMD3DNOW** (AMD 3DNOW)
* **AMD3DNOWEXT** (AMD 3DNowExt)
* **MMX** (standard MMX)
* **MMXEXT** (SSE integer functions or AMD MMX ext)
* **SSE** (SSE functions)
* **SSE2** (P4 SSE functions)
* **SSE3** (Prescott SSE3 functions)
* **SSSE3** (Conroe SSSE3 functions)
* **SSE4** (Penryn SSE4.1 functions)
* **SSE4A** (AMD Barcelona microarchitecture SSE4a instructions)
* **SSE42** (Nehalem SSE4.2 functions)
* **AVX** (AVX functions)
* **AVX2** (AVX2 functions)
* **FMA3** (Intel FMA 3)
* **FMA4** (Bulldozer FMA4 functions)
* **XOP** (Bulldozer XOP functions)
* **F16C** (Half-precision floating-point conversion)
* **BMI1** (Bit Manipulation Instruction Set 1)
* **BMI2** (Bit Manipulation Instruction Set 2)
* **TBM** (AMD Trailing Bit Manipulation)
* **LZCNT** (LZCNT instruction)
* **POPCNT** (POPCNT instruction)
* **AESNI** (Advanced Encryption Standard New Instructions)
* **CLMUL** (Carry-less Multiplication)
* **HTT** (Hyperthreading (enabled))
* **HLE** (Hardware Lock Elision)
* **RTM** (Restricted Transactional Memory)
* **RDRAND** (RDRAND instruction is available)
* **RDSEED** (RDSEED instruction is available)
* **ADX** (Intel ADX (Multi-Precision Add-Carry Instruction Extensions))
* **SHA** (Intel SHA Extensions)
* **AVX512F** (AVX-512 Foundation)
* **AVX512DQ** (AVX-512 Doubleword and Quadword Instructions)
* **AVX512IFMA** (AVX-512 Integer Fused Multiply-Add Instructions)
* **AVX512PF** (AVX-512 Prefetch Instructions)
* **AVX512ER** (AVX-512 Exponential and Reciprocal Instructions)
* **AVX512CD** (AVX-512 Conflict Detection Instructions)
* **AVX512BW** (AVX-512 Byte and Word Instructions)
* **AVX512VL** (AVX-512 Vector Length Extensions)
* **AVX512VBMI** (AVX-512 Vector Bit Manipulation Instructions)
* **MPX** (Intel MPX (Memory Protection Extensions))
* **ERMS** (Enhanced REP MOVSB/STOSB)
* **RDTSCP** (RDTSCP Instruction)
* **CX16** (CMPXCHG16B Instruction)
* **SGX** (Software Guard Extensions, with activation details)
* **VMX** (Virtual Machine Extensions)
## Performance
* **RDTSCP()** Returns current cycle count. Can be used for benchmarking.
* **SSE2SLOW** (SSE2 is supported, but usually not faster)
* **SSE3SLOW** (SSE3 is supported, but usually not faster)
* **ATOM** (Atom processor, some SSSE3 instructions are slower)
* **Cache line** (Probable size of a cache line).
* **L1, L2, L3 Cache size** on newer Intel/AMD CPUs.
## Cpu Vendor/VM
* **Intel**
* **AMD**
* **VIA**
* **Transmeta**
* **NSC**
* **KVM** (Kernel-based Virtual Machine)
* **MSVM** (Microsoft Hyper-V or Windows Virtual PC)
* **VMware**
* **XenHVM**
* **Bhyve**
* **Hygon**
# installing
```go get github.com/klauspost/cpuid```
# example
```Go
package main
import (
"fmt"
"github.com/klauspost/cpuid"
)
func main() {
// Print basic CPU information:
fmt.Println("Name:", cpuid.CPU.BrandName)
fmt.Println("PhysicalCores:", cpuid.CPU.PhysicalCores)
fmt.Println("ThreadsPerCore:", cpuid.CPU.ThreadsPerCore)
fmt.Println("LogicalCores:", cpuid.CPU.LogicalCores)
fmt.Println("Family", cpuid.CPU.Family, "Model:", cpuid.CPU.Model)
fmt.Println("Features:", cpuid.CPU.Features)
fmt.Println("Cacheline bytes:", cpuid.CPU.CacheLine)
fmt.Println("L1 Data Cache:", cpuid.CPU.Cache.L1D, "bytes")
fmt.Println("L1 Instruction Cache:", cpuid.CPU.Cache.L1D, "bytes")
fmt.Println("L2 Cache:", cpuid.CPU.Cache.L2, "bytes")
fmt.Println("L3 Cache:", cpuid.CPU.Cache.L3, "bytes")
// Test if we have a specific feature:
if cpuid.CPU.SSE() {
fmt.Println("We have Streaming SIMD Extensions")
}
}
```
Sample output:
```
>go run main.go
Name: Intel(R) Core(TM) i5-2540M CPU @ 2.60GHz
PhysicalCores: 2
ThreadsPerCore: 2
LogicalCores: 4
Family 6 Model: 42
Features: CMOV,MMX,MMXEXT,SSE,SSE2,SSE3,SSSE3,SSE4.1,SSE4.2,AVX,AESNI,CLMUL
Cacheline bytes: 64
We have Streaming SIMD Extensions
```
# private package
In the "private" folder you can find an autogenerated version of the library you can include in your own packages.
For this purpose all exports are removed, and functions and constants are lowercased.
This is not a recommended way of using the library, but provided for convenience, if it is difficult for you to use external packages.
# license
This code is published under an MIT license. See LICENSE file for more information.

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// Copyright (c) 2015 Klaus Post, released under MIT License. See LICENSE file.
// +build 386,!gccgo
// func asmCpuid(op uint32) (eax, ebx, ecx, edx uint32)
TEXT ·asmCpuid(SB), 7, $0
XORL CX, CX
MOVL op+0(FP), AX
CPUID
MOVL AX, eax+4(FP)
MOVL BX, ebx+8(FP)
MOVL CX, ecx+12(FP)
MOVL DX, edx+16(FP)
RET
// func asmCpuidex(op, op2 uint32) (eax, ebx, ecx, edx uint32)
TEXT ·asmCpuidex(SB), 7, $0
MOVL op+0(FP), AX
MOVL op2+4(FP), CX
CPUID
MOVL AX, eax+8(FP)
MOVL BX, ebx+12(FP)
MOVL CX, ecx+16(FP)
MOVL DX, edx+20(FP)
RET
// func xgetbv(index uint32) (eax, edx uint32)
TEXT ·asmXgetbv(SB), 7, $0
MOVL index+0(FP), CX
BYTE $0x0f; BYTE $0x01; BYTE $0xd0 // XGETBV
MOVL AX, eax+4(FP)
MOVL DX, edx+8(FP)
RET
// func asmRdtscpAsm() (eax, ebx, ecx, edx uint32)
TEXT ·asmRdtscpAsm(SB), 7, $0
BYTE $0x0F; BYTE $0x01; BYTE $0xF9 // RDTSCP
MOVL AX, eax+0(FP)
MOVL BX, ebx+4(FP)
MOVL CX, ecx+8(FP)
MOVL DX, edx+12(FP)
RET

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// Copyright (c) 2015 Klaus Post, released under MIT License. See LICENSE file.
//+build amd64,!gccgo
// func asmCpuid(op uint32) (eax, ebx, ecx, edx uint32)
TEXT ·asmCpuid(SB), 7, $0
XORQ CX, CX
MOVL op+0(FP), AX
CPUID
MOVL AX, eax+8(FP)
MOVL BX, ebx+12(FP)
MOVL CX, ecx+16(FP)
MOVL DX, edx+20(FP)
RET
// func asmCpuidex(op, op2 uint32) (eax, ebx, ecx, edx uint32)
TEXT ·asmCpuidex(SB), 7, $0
MOVL op+0(FP), AX
MOVL op2+4(FP), CX
CPUID
MOVL AX, eax+8(FP)
MOVL BX, ebx+12(FP)
MOVL CX, ecx+16(FP)
MOVL DX, edx+20(FP)
RET
// func asmXgetbv(index uint32) (eax, edx uint32)
TEXT ·asmXgetbv(SB), 7, $0
MOVL index+0(FP), CX
BYTE $0x0f; BYTE $0x01; BYTE $0xd0 // XGETBV
MOVL AX, eax+8(FP)
MOVL DX, edx+12(FP)
RET
// func asmRdtscpAsm() (eax, ebx, ecx, edx uint32)
TEXT ·asmRdtscpAsm(SB), 7, $0
BYTE $0x0F; BYTE $0x01; BYTE $0xF9 // RDTSCP
MOVL AX, eax+0(FP)
MOVL BX, ebx+4(FP)
MOVL CX, ecx+8(FP)
MOVL DX, edx+12(FP)
RET

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// Copyright (c) 2015 Klaus Post, released under MIT License. See LICENSE file.
// +build 386,!gccgo amd64,!gccgo
package cpuid
func asmCpuid(op uint32) (eax, ebx, ecx, edx uint32)
func asmCpuidex(op, op2 uint32) (eax, ebx, ecx, edx uint32)
func asmXgetbv(index uint32) (eax, edx uint32)
func asmRdtscpAsm() (eax, ebx, ecx, edx uint32)
func initCPU() {
cpuid = asmCpuid
cpuidex = asmCpuidex
xgetbv = asmXgetbv
rdtscpAsm = asmRdtscpAsm
}

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vendor/github.com/klauspost/cpuid/detect_ref.go generated vendored Normal file
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// Copyright (c) 2015 Klaus Post, released under MIT License. See LICENSE file.
// +build !amd64,!386 gccgo
package cpuid
func initCPU() {
cpuid = func(op uint32) (eax, ebx, ecx, edx uint32) {
return 0, 0, 0, 0
}
cpuidex = func(op, op2 uint32) (eax, ebx, ecx, edx uint32) {
return 0, 0, 0, 0
}
xgetbv = func(index uint32) (eax, edx uint32) {
return 0, 0
}
rdtscpAsm = func() (eax, ebx, ecx, edx uint32) {
return 0, 0, 0, 0
}
}

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vendor/github.com/klauspost/cpuid/generate.go generated vendored Normal file
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package cpuid
//go:generate go run private-gen.go
//go:generate gofmt -w ./private

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// +build ignore
package main
import (
"bytes"
"fmt"
"go/ast"
"go/parser"
"go/printer"
"go/token"
"io"
"io/ioutil"
"log"
"os"
"reflect"
"strings"
"unicode"
"unicode/utf8"
)
var inFiles = []string{"cpuid.go", "cpuid_test.go"}
var copyFiles = []string{"cpuid_amd64.s", "cpuid_386.s", "detect_ref.go", "detect_intel.go"}
var fileSet = token.NewFileSet()
var reWrites = []rewrite{
initRewrite("CPUInfo -> cpuInfo"),
initRewrite("Vendor -> vendor"),
initRewrite("Flags -> flags"),
initRewrite("Detect -> detect"),
initRewrite("CPU -> cpu"),
}
var excludeNames = map[string]bool{"string": true, "join": true, "trim": true,
// cpuid_test.go
"t": true, "println": true, "logf": true, "log": true, "fatalf": true, "fatal": true,
}
var excludePrefixes = []string{"test", "benchmark"}
func main() {
Package := "private"
parserMode := parser.ParseComments
exported := make(map[string]rewrite)
for _, file := range inFiles {
in, err := os.Open(file)
if err != nil {
log.Fatalf("opening input", err)
}
src, err := ioutil.ReadAll(in)
if err != nil {
log.Fatalf("reading input", err)
}
astfile, err := parser.ParseFile(fileSet, file, src, parserMode)
if err != nil {
log.Fatalf("parsing input", err)
}
for _, rw := range reWrites {
astfile = rw(astfile)
}
// Inspect the AST and print all identifiers and literals.
var startDecl token.Pos
var endDecl token.Pos
ast.Inspect(astfile, func(n ast.Node) bool {
var s string
switch x := n.(type) {
case *ast.Ident:
if x.IsExported() {
t := strings.ToLower(x.Name)
for _, pre := range excludePrefixes {
if strings.HasPrefix(t, pre) {
return true
}
}
if excludeNames[t] != true {
//if x.Pos() > startDecl && x.Pos() < endDecl {
exported[x.Name] = initRewrite(x.Name + " -> " + t)
}
}
case *ast.GenDecl:
if x.Tok == token.CONST && x.Lparen > 0 {
startDecl = x.Lparen
endDecl = x.Rparen
// fmt.Printf("Decl:%s -> %s\n", fileSet.Position(startDecl), fileSet.Position(endDecl))
}
}
if s != "" {
fmt.Printf("%s:\t%s\n", fileSet.Position(n.Pos()), s)
}
return true
})
for _, rw := range exported {
astfile = rw(astfile)
}
var buf bytes.Buffer
printer.Fprint(&buf, fileSet, astfile)
// Remove package documentation and insert information
s := buf.String()
ind := strings.Index(buf.String(), "\npackage cpuid")
s = s[ind:]
s = "// Generated, DO NOT EDIT,\n" +
"// but copy it to your own project and rename the package.\n" +
"// See more at http://github.com/klauspost/cpuid\n" +
s
outputName := Package + string(os.PathSeparator) + file
err = ioutil.WriteFile(outputName, []byte(s), 0644)
if err != nil {
log.Fatalf("writing output: %s", err)
}
log.Println("Generated", outputName)
}
for _, file := range copyFiles {
dst := ""
if strings.HasPrefix(file, "cpuid") {
dst = Package + string(os.PathSeparator) + file
} else {
dst = Package + string(os.PathSeparator) + "cpuid_" + file
}
err := copyFile(file, dst)
if err != nil {
log.Fatalf("copying file: %s", err)
}
log.Println("Copied", dst)
}
}
// CopyFile copies a file from src to dst. If src and dst files exist, and are
// the same, then return success. Copy the file contents from src to dst.
func copyFile(src, dst string) (err error) {
sfi, err := os.Stat(src)
if err != nil {
return
}
if !sfi.Mode().IsRegular() {
// cannot copy non-regular files (e.g., directories,
// symlinks, devices, etc.)
return fmt.Errorf("CopyFile: non-regular source file %s (%q)", sfi.Name(), sfi.Mode().String())
}
dfi, err := os.Stat(dst)
if err != nil {
if !os.IsNotExist(err) {
return
}
} else {
if !(dfi.Mode().IsRegular()) {
return fmt.Errorf("CopyFile: non-regular destination file %s (%q)", dfi.Name(), dfi.Mode().String())
}
if os.SameFile(sfi, dfi) {
return
}
}
err = copyFileContents(src, dst)
return
}
// copyFileContents copies the contents of the file named src to the file named
// by dst. The file will be created if it does not already exist. If the
// destination file exists, all it's contents will be replaced by the contents
// of the source file.
func copyFileContents(src, dst string) (err error) {
in, err := os.Open(src)
if err != nil {
return
}
defer in.Close()
out, err := os.Create(dst)
if err != nil {
return
}
defer func() {
cerr := out.Close()
if err == nil {
err = cerr
}
}()
if _, err = io.Copy(out, in); err != nil {
return
}
err = out.Sync()
return
}
type rewrite func(*ast.File) *ast.File
// Mostly copied from gofmt
func initRewrite(rewriteRule string) rewrite {
f := strings.Split(rewriteRule, "->")
if len(f) != 2 {
fmt.Fprintf(os.Stderr, "rewrite rule must be of the form 'pattern -> replacement'\n")
os.Exit(2)
}
pattern := parseExpr(f[0], "pattern")
replace := parseExpr(f[1], "replacement")
return func(p *ast.File) *ast.File { return rewriteFile(pattern, replace, p) }
}
// parseExpr parses s as an expression.
// It might make sense to expand this to allow statement patterns,
// but there are problems with preserving formatting and also
// with what a wildcard for a statement looks like.
func parseExpr(s, what string) ast.Expr {
x, err := parser.ParseExpr(s)
if err != nil {
fmt.Fprintf(os.Stderr, "parsing %s %s at %s\n", what, s, err)
os.Exit(2)
}
return x
}
// Keep this function for debugging.
/*
func dump(msg string, val reflect.Value) {
fmt.Printf("%s:\n", msg)
ast.Print(fileSet, val.Interface())
fmt.Println()
}
*/
// rewriteFile applies the rewrite rule 'pattern -> replace' to an entire file.
func rewriteFile(pattern, replace ast.Expr, p *ast.File) *ast.File {
cmap := ast.NewCommentMap(fileSet, p, p.Comments)
m := make(map[string]reflect.Value)
pat := reflect.ValueOf(pattern)
repl := reflect.ValueOf(replace)
var rewriteVal func(val reflect.Value) reflect.Value
rewriteVal = func(val reflect.Value) reflect.Value {
// don't bother if val is invalid to start with
if !val.IsValid() {
return reflect.Value{}
}
for k := range m {
delete(m, k)
}
val = apply(rewriteVal, val)
if match(m, pat, val) {
val = subst(m, repl, reflect.ValueOf(val.Interface().(ast.Node).Pos()))
}
return val
}
r := apply(rewriteVal, reflect.ValueOf(p)).Interface().(*ast.File)
r.Comments = cmap.Filter(r).Comments() // recreate comments list
return r
}
// set is a wrapper for x.Set(y); it protects the caller from panics if x cannot be changed to y.
func set(x, y reflect.Value) {
// don't bother if x cannot be set or y is invalid
if !x.CanSet() || !y.IsValid() {
return
}
defer func() {
if x := recover(); x != nil {
if s, ok := x.(string); ok &&
(strings.Contains(s, "type mismatch") || strings.Contains(s, "not assignable")) {
// x cannot be set to y - ignore this rewrite
return
}
panic(x)
}
}()
x.Set(y)
}
// Values/types for special cases.
var (
objectPtrNil = reflect.ValueOf((*ast.Object)(nil))
scopePtrNil = reflect.ValueOf((*ast.Scope)(nil))
identType = reflect.TypeOf((*ast.Ident)(nil))
objectPtrType = reflect.TypeOf((*ast.Object)(nil))
positionType = reflect.TypeOf(token.NoPos)
callExprType = reflect.TypeOf((*ast.CallExpr)(nil))
scopePtrType = reflect.TypeOf((*ast.Scope)(nil))
)
// apply replaces each AST field x in val with f(x), returning val.
// To avoid extra conversions, f operates on the reflect.Value form.
func apply(f func(reflect.Value) reflect.Value, val reflect.Value) reflect.Value {
if !val.IsValid() {
return reflect.Value{}
}
// *ast.Objects introduce cycles and are likely incorrect after
// rewrite; don't follow them but replace with nil instead
if val.Type() == objectPtrType {
return objectPtrNil
}
// similarly for scopes: they are likely incorrect after a rewrite;
// replace them with nil
if val.Type() == scopePtrType {
return scopePtrNil
}
switch v := reflect.Indirect(val); v.Kind() {
case reflect.Slice:
for i := 0; i < v.Len(); i++ {
e := v.Index(i)
set(e, f(e))
}
case reflect.Struct:
for i := 0; i < v.NumField(); i++ {
e := v.Field(i)
set(e, f(e))
}
case reflect.Interface:
e := v.Elem()
set(v, f(e))
}
return val
}
func isWildcard(s string) bool {
rune, size := utf8.DecodeRuneInString(s)
return size == len(s) && unicode.IsLower(rune)
}
// match returns true if pattern matches val,
// recording wildcard submatches in m.
// If m == nil, match checks whether pattern == val.
func match(m map[string]reflect.Value, pattern, val reflect.Value) bool {
// Wildcard matches any expression. If it appears multiple
// times in the pattern, it must match the same expression
// each time.
if m != nil && pattern.IsValid() && pattern.Type() == identType {
name := pattern.Interface().(*ast.Ident).Name
if isWildcard(name) && val.IsValid() {
// wildcards only match valid (non-nil) expressions.
if _, ok := val.Interface().(ast.Expr); ok && !val.IsNil() {
if old, ok := m[name]; ok {
return match(nil, old, val)
}
m[name] = val
return true
}
}
}
// Otherwise, pattern and val must match recursively.
if !pattern.IsValid() || !val.IsValid() {
return !pattern.IsValid() && !val.IsValid()
}
if pattern.Type() != val.Type() {
return false
}
// Special cases.
switch pattern.Type() {
case identType:
// For identifiers, only the names need to match
// (and none of the other *ast.Object information).
// This is a common case, handle it all here instead
// of recursing down any further via reflection.
p := pattern.Interface().(*ast.Ident)
v := val.Interface().(*ast.Ident)
return p == nil && v == nil || p != nil && v != nil && p.Name == v.Name
case objectPtrType, positionType:
// object pointers and token positions always match
return true
case callExprType:
// For calls, the Ellipsis fields (token.Position) must
// match since that is how f(x) and f(x...) are different.
// Check them here but fall through for the remaining fields.
p := pattern.Interface().(*ast.CallExpr)
v := val.Interface().(*ast.CallExpr)
if p.Ellipsis.IsValid() != v.Ellipsis.IsValid() {
return false
}
}
p := reflect.Indirect(pattern)
v := reflect.Indirect(val)
if !p.IsValid() || !v.IsValid() {
return !p.IsValid() && !v.IsValid()
}
switch p.Kind() {
case reflect.Slice:
if p.Len() != v.Len() {
return false
}
for i := 0; i < p.Len(); i++ {
if !match(m, p.Index(i), v.Index(i)) {
return false
}
}
return true
case reflect.Struct:
for i := 0; i < p.NumField(); i++ {
if !match(m, p.Field(i), v.Field(i)) {
return false
}
}
return true
case reflect.Interface:
return match(m, p.Elem(), v.Elem())
}
// Handle token integers, etc.
return p.Interface() == v.Interface()
}
// subst returns a copy of pattern with values from m substituted in place
// of wildcards and pos used as the position of tokens from the pattern.
// if m == nil, subst returns a copy of pattern and doesn't change the line
// number information.
func subst(m map[string]reflect.Value, pattern reflect.Value, pos reflect.Value) reflect.Value {
if !pattern.IsValid() {
return reflect.Value{}
}
// Wildcard gets replaced with map value.
if m != nil && pattern.Type() == identType {
name := pattern.Interface().(*ast.Ident).Name
if isWildcard(name) {
if old, ok := m[name]; ok {
return subst(nil, old, reflect.Value{})
}
}
}
if pos.IsValid() && pattern.Type() == positionType {
// use new position only if old position was valid in the first place
if old := pattern.Interface().(token.Pos); !old.IsValid() {
return pattern
}
return pos
}
// Otherwise copy.
switch p := pattern; p.Kind() {
case reflect.Slice:
v := reflect.MakeSlice(p.Type(), p.Len(), p.Len())
for i := 0; i < p.Len(); i++ {
v.Index(i).Set(subst(m, p.Index(i), pos))
}
return v
case reflect.Struct:
v := reflect.New(p.Type()).Elem()
for i := 0; i < p.NumField(); i++ {
v.Field(i).Set(subst(m, p.Field(i), pos))
}
return v
case reflect.Ptr:
v := reflect.New(p.Type()).Elem()
if elem := p.Elem(); elem.IsValid() {
v.Set(subst(m, elem, pos).Addr())
}
return v
case reflect.Interface:
v := reflect.New(p.Type()).Elem()
if elem := p.Elem(); elem.IsValid() {
v.Set(subst(m, elem, pos))
}
return v
}
return pattern
}

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# Compiled Object files, Static and Dynamic libs (Shared Objects)
*.o
*.a
*.so
# Folders
_obj
_test
# Architecture specific extensions/prefixes
*.[568vq]
[568vq].out
*.cgo1.go
*.cgo2.c
_cgo_defun.c
_cgo_gotypes.go
_cgo_export.*
_testmain.go
*.exe
*.test
*.prof
.idea

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language: go
sudo: false
os:
- linux
- osx
go:
- 1.11.x
- 1.12.x
- 1.13.x
- master
install:
- go get ./...
script:
- go vet ./...
- go test -v -cpu=1,2,4 .
- go test -v -cpu=1,2,4 -short -race .
- go test -tags=noasm -v -cpu=1,2,4 -short -race .
- go build examples/simple-decoder.go
- go build examples/simple-encoder.go
- go build examples/stream-decoder.go
- go build examples/stream-encoder.go
- diff <(gofmt -d .) <("")
matrix:
allow_failures:
- go: 'master'
fast_finish: true

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The MIT License (MIT)
Copyright (c) 2015 Klaus Post
Copyright (c) 2015 Backblaze
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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# Reed-Solomon
[![GoDoc][1]][2] [![Build Status][3]][4]
[1]: https://godoc.org/github.com/klauspost/reedsolomon?status.svg
[2]: https://godoc.org/github.com/klauspost/reedsolomon
[3]: https://travis-ci.org/klauspost/reedsolomon.svg?branch=master
[4]: https://travis-ci.org/klauspost/reedsolomon
Reed-Solomon Erasure Coding in Go, with speeds exceeding 1GB/s/cpu core implemented in pure Go.
This is a Go port of the [JavaReedSolomon](https://github.com/Backblaze/JavaReedSolomon) library released by [Backblaze](http://backblaze.com), with some additional optimizations.
For an introduction on erasure coding, see the post on the [Backblaze blog](https://www.backblaze.com/blog/reed-solomon/).
Package home: https://github.com/klauspost/reedsolomon
Godoc: https://godoc.org/github.com/klauspost/reedsolomon
# Installation
To get the package use the standard:
```bash
go get -u github.com/klauspost/reedsolomon
```
# Changes
## March 6, 2019
The pure Go implementation is about 30% faster. Minor tweaks to assembler implementations.
## February 8, 2019
AVX512 accelerated version added for Intel Skylake CPUs. This can give up to a 4x speed improvement as compared to AVX2. See [here](https://github.com/klauspost/reedsolomon#performance-on-avx512) for more details.
## December 18, 2018
Assembly code for ppc64le has been contributed, this boosts performance by about 10x on this platform.
## November 18, 2017
Added [WithAutoGoroutines](https://godoc.org/github.com/klauspost/reedsolomon#WithAutoGoroutines) which will attempt to calculate the optimal number of goroutines to use based on your expected shard size and detected CPU.
## October 1, 2017
* [Cauchy Matrix](https://godoc.org/github.com/klauspost/reedsolomon#WithCauchyMatrix) is now an option. Thanks to [templexxx](https://github.com/templexxx) for the basis of this.
* Default maximum number of [goroutines](https://godoc.org/github.com/klauspost/reedsolomon#WithMaxGoroutines) has been increased for better multi-core scaling.
* After several requests the Reconstruct and ReconstructData now slices of zero length but sufficient capacity to be used instead of allocating new memory.
## August 26, 2017
* The [`Encoder()`](https://godoc.org/github.com/klauspost/reedsolomon#Encoder) now contains an `Update` function contributed by [chenzhongtao](https://github.com/chenzhongtao).
* [Frank Wessels](https://github.com/fwessels) kindly contributed ARM 64 bit assembly, which gives a huge performance boost on this platform.
## July 20, 2017
`ReconstructData` added to [`Encoder`](https://godoc.org/github.com/klauspost/reedsolomon#Encoder) interface. This can cause compatibility issues if you implement your own Encoder. A simple workaround can be added:
```Go
func (e *YourEnc) ReconstructData(shards [][]byte) error {
return ReconstructData(shards)
}
```
You can of course also do your own implementation. The [`StreamEncoder`](https://godoc.org/github.com/klauspost/reedsolomon#StreamEncoder) handles this without modifying the interface. This is a good lesson on why returning interfaces is not a good design.
# Usage
This section assumes you know the basics of Reed-Solomon encoding. A good start is this [Backblaze blog post](https://www.backblaze.com/blog/reed-solomon/).
This package performs the calculation of the parity sets. The usage is therefore relatively simple.
First of all, you need to choose your distribution of data and parity shards. A 'good' distribution is very subjective, and will depend a lot on your usage scenario. A good starting point is above 5 and below 257 data shards (the maximum supported number), and the number of parity shards to be 2 or above, and below the number of data shards.
To create an encoder with 10 data shards (where your data goes) and 3 parity shards (calculated):
```Go
enc, err := reedsolomon.New(10, 3)
```
This encoder will work for all parity sets with this distribution of data and parity shards. The error will only be set if you specify 0 or negative values in any of the parameters, or if you specify more than 256 data shards.
The you send and receive data is a simple slice of byte slices; `[][]byte`. In the example above, the top slice must have a length of 13.
```Go
data := make([][]byte, 13)
```
You should then fill the 10 first slices with *equally sized* data, and create parity shards that will be populated with parity data. In this case we create the data in memory, but you could for instance also use [mmap](https://github.com/edsrzf/mmap-go) to map files.
```Go
// Create all shards, size them at 50000 each
for i := range input {
data[i] := make([]byte, 50000)
}
// Fill some data into the data shards
for i, in := range data[:10] {
for j:= range in {
in[j] = byte((i+j)&0xff)
}
}
```
To populate the parity shards, you simply call `Encode()` with your data.
```Go
err = enc.Encode(data)
```
The only cases where you should get an error is, if the data shards aren't of equal size. The last 3 shards now contain parity data. You can verify this by calling `Verify()`:
```Go
ok, err = enc.Verify(data)
```
The final (and important) part is to be able to reconstruct missing shards. For this to work, you need to know which parts of your data is missing. The encoder *does not know which parts are invalid*, so if data corruption is a likely scenario, you need to implement a hash check for each shard. If a byte has changed in your set, and you don't know which it is, there is no way to reconstruct the data set.
To indicate missing data, you set the shard to nil before calling `Reconstruct()`:
```Go
// Delete two data shards
data[3] = nil
data[7] = nil
// Reconstruct the missing shards
err := enc.Reconstruct(data)
```
The missing data and parity shards will be recreated. If more than 3 shards are missing, the reconstruction will fail.
If you are only interested in the data shards (for reading purposes) you can call `ReconstructData()`:
```Go
// Delete two data shards
data[3] = nil
data[7] = nil
// Reconstruct just the missing data shards
err := enc.ReconstructData(data)
```
So to sum up reconstruction:
* The number of data/parity shards must match the numbers used for encoding.
* The order of shards must be the same as used when encoding.
* You may only supply data you know is valid.
* Invalid shards should be set to nil.
For complete examples of an encoder and decoder see the [examples folder](https://github.com/klauspost/reedsolomon/tree/master/examples).
# Splitting/Joining Data
You might have a large slice of data. To help you split this, there are some helper functions that can split and join a single byte slice.
```Go
bigfile, _ := ioutil.Readfile("myfile.data")
// Split the file
split, err := enc.Split(bigfile)
```
This will split the file into the number of data shards set when creating the encoder and create empty parity shards.
An important thing to note is that you have to *keep track of the exact input size*. If the size of the input isn't divisible by the number of data shards, extra zeros will be inserted in the last shard.
To join a data set, use the `Join()` function, which will join the shards and write it to the `io.Writer` you supply:
```Go
// Join a data set and write it to io.Discard.
err = enc.Join(io.Discard, data, len(bigfile))
```
# Streaming/Merging
It might seem like a limitation that all data should be in memory, but an important property is that *as long as the number of data/parity shards are the same, you can merge/split data sets*, and they will remain valid as a separate set.
```Go
// Split the data set of 50000 elements into two of 25000
splitA := make([][]byte, 13)
splitB := make([][]byte, 13)
// Merge into a 100000 element set
merged := make([][]byte, 13)
for i := range data {
splitA[i] = data[i][:25000]
splitB[i] = data[i][25000:]
// Concatenate it to itself
merged[i] = append(make([]byte, 0, len(data[i])*2), data[i]...)
merged[i] = append(merged[i], data[i]...)
}
// Each part should still verify as ok.
ok, err := enc.Verify(splitA)
if ok && err == nil {
log.Println("splitA ok")
}
ok, err = enc.Verify(splitB)
if ok && err == nil {
log.Println("splitB ok")
}
ok, err = enc.Verify(merge)
if ok && err == nil {
log.Println("merge ok")
}
```
This means that if you have a data set that may not fit into memory, you can split processing into smaller blocks. For the best throughput, don't use too small blocks.
This also means that you can divide big input up into smaller blocks, and do reconstruction on parts of your data. This doesn't give the same flexibility of a higher number of data shards, but it will be much more performant.
# Streaming API
There has been added support for a streaming API, to help perform fully streaming operations, which enables you to do the same operations, but on streams. To use the stream API, use [`NewStream`](https://godoc.org/github.com/klauspost/reedsolomon#NewStream) function to create the encoding/decoding interfaces. You can use [`NewStreamC`](https://godoc.org/github.com/klauspost/reedsolomon#NewStreamC) to ready an interface that reads/writes concurrently from the streams.
Input is delivered as `[]io.Reader`, output as `[]io.Writer`, and functionality corresponds to the in-memory API. Each stream must supply the same amount of data, similar to how each slice must be similar size with the in-memory API.
If an error occurs in relation to a stream, a [`StreamReadError`](https://godoc.org/github.com/klauspost/reedsolomon#StreamReadError) or [`StreamWriteError`](https://godoc.org/github.com/klauspost/reedsolomon#StreamWriteError) will help you determine which stream was the offender.
There is no buffering or timeouts/retry specified. If you want to add that, you need to add it to the Reader/Writer.
For complete examples of a streaming encoder and decoder see the [examples folder](https://github.com/klauspost/reedsolomon/tree/master/examples).
# Advanced Options
You can modify internal options which affects how jobs are split between and processed by goroutines.
To create options, use the WithXXX functions. You can supply options to `New`, `NewStream` and `NewStreamC`. If no Options are supplied, default options are used.
Example of how to supply options:
```Go
enc, err := reedsolomon.New(10, 3, WithMaxGoroutines(25))
```
# Performance
Performance depends mainly on the number of parity shards. In rough terms, doubling the number of parity shards will double the encoding time.
Here are the throughput numbers with some different selections of data and parity shards. For reference each shard is 1MB random data, and 2 CPU cores are used for encoding.
| Data | Parity | Parity | MB/s | SSSE3 MB/s | SSSE3 Speed | Rel. Speed |
|------|--------|--------|--------|-------------|-------------|------------|
| 5 | 2 | 40% | 576,11 | 2599,2 | 451% | 100,00% |
| 10 | 2 | 20% | 587,73 | 3100,28 | 528% | 102,02% |
| 10 | 4 | 40% | 298,38 | 2470,97 | 828% | 51,79% |
| 50 | 20 | 40% | 59,81 | 713,28 | 1193% | 10,38% |
If `runtime.GOMAXPROCS()` is set to a value higher than 1, the encoder will use multiple goroutines to perform the calculations in `Verify`, `Encode` and `Reconstruct`.
Example of performance scaling on Intel(R) Core(TM) i7-2600 CPU @ 3.40GHz - 4 physical cores, 8 logical cores. The example uses 10 blocks with 16MB data each and 4 parity blocks.
| Threads | MB/s | Speed |
|---------|---------|-------|
| 1 | 1355,11 | 100% |
| 2 | 2339,78 | 172% |
| 4 | 3179,33 | 235% |
| 8 | 4346,18 | 321% |
Benchmarking `Reconstruct()` followed by a `Verify()` (=`all`) versus just calling `ReconstructData()` (=`data`) gives the following result:
```
benchmark all MB/s data MB/s speedup
BenchmarkReconstruct10x2x10000-8 2011.67 10530.10 5.23x
BenchmarkReconstruct50x5x50000-8 4585.41 14301.60 3.12x
BenchmarkReconstruct10x2x1M-8 8081.15 28216.41 3.49x
BenchmarkReconstruct5x2x1M-8 5780.07 28015.37 4.85x
BenchmarkReconstruct10x4x1M-8 4352.56 14367.61 3.30x
BenchmarkReconstruct50x20x1M-8 1364.35 4189.79 3.07x
BenchmarkReconstruct10x4x16M-8 1484.35 5779.53 3.89x
```
# Performance on AVX512
The performance on AVX512 has been accelerated for Intel CPUs. This gives speedups on a per-core basis of up to 4x compared to AVX2 as can be seen in the following table:
```
$ benchcmp avx2.txt avx512.txt
benchmark AVX2 MB/s AVX512 MB/s speedup
BenchmarkEncode8x8x1M-72 1681.35 4125.64 2.45x
BenchmarkEncode8x4x8M-72 1529.36 5507.97 3.60x
BenchmarkEncode8x8x8M-72 791.16 2952.29 3.73x
BenchmarkEncode8x8x32M-72 573.26 2168.61 3.78x
BenchmarkEncode12x4x12M-72 1234.41 4912.37 3.98x
BenchmarkEncode16x4x16M-72 1189.59 5138.01 4.32x
BenchmarkEncode24x8x24M-72 690.68 2583.70 3.74x
BenchmarkEncode24x8x48M-72 674.20 2643.31 3.92x
```
This speedup has been achieved by computing multiple parity blocks in parallel as opposed to one after the other. In doing so it is possible to minimize the memory bandwidth required for loading all data shards. At the same time the calculations are performed in the 512-bit wide ZMM registers and the surplus of ZMM registers (32 in total) is used to keep more data around (most notably the matrix coefficients).
# Performance on ARM64 NEON
By exploiting NEON instructions the performance for ARM has been accelerated. Below are the performance numbers for a single core on an ARM Cortex-A53 CPU @ 1.2GHz (Debian 8.0 Jessie running Go: 1.7.4):
| Data | Parity | Parity | ARM64 Go MB/s | ARM64 NEON MB/s | NEON Speed |
|------|--------|--------|--------------:|----------------:|-----------:|
| 5 | 2 | 40% | 189 | 1304 | 588% |
| 10 | 2 | 20% | 188 | 1738 | 925% |
| 10 | 4 | 40% | 96 | 839 | 877% |
# Performance on ppc64le
The performance for ppc64le has been accelerated. This gives roughly a 10x performance improvement on this architecture as can been seen below:
```
benchmark old MB/s new MB/s speedup
BenchmarkGalois128K-160 948.87 8878.85 9.36x
BenchmarkGalois1M-160 968.85 9041.92 9.33x
BenchmarkGaloisXor128K-160 862.02 7905.00 9.17x
BenchmarkGaloisXor1M-160 784.60 6296.65 8.03x
```
# asm2plan9s
[asm2plan9s](https://github.com/fwessels/asm2plan9s) is used for assembling the AVX2 instructions into their BYTE/WORD/LONG equivalents.
# Links
* [Backblaze Open Sources Reed-Solomon Erasure Coding Source Code](https://www.backblaze.com/blog/reed-solomon/).
* [JavaReedSolomon](https://github.com/Backblaze/JavaReedSolomon). Compatible java library by Backblaze.
* [ocaml-reed-solomon-erasure](https://gitlab.com/darrenldl/ocaml-reed-solomon-erasure). Compatible OCaml implementation.
* [reedsolomon-c](https://github.com/jannson/reedsolomon-c). C version, compatible with output from this package.
* [Reed-Solomon Erasure Coding in Haskell](https://github.com/NicolasT/reedsolomon). Haskell port of the package with similar performance.
* [reed-solomon-erasure](https://github.com/darrenldl/reed-solomon-erasure). Compatible Rust implementation.
* [go-erasure](https://github.com/somethingnew2-0/go-erasure). A similar library using cgo, slower in my tests.
* [Screaming Fast Galois Field Arithmetic](http://www.snia.org/sites/default/files2/SDC2013/presentations/NewThinking/EthanMiller_Screaming_Fast_Galois_Field%20Arithmetic_SIMD%20Instructions.pdf). Basis for SSE3 optimizations.
# License
This code, as the original [JavaReedSolomon](https://github.com/Backblaze/JavaReedSolomon) is published under an MIT license. See LICENSE file for more information.

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os: Visual Studio 2015
platform: x64
clone_folder: c:\gopath\src\github.com\klauspost\reedsolomon
# environment variables
environment:
GOPATH: c:\gopath
install:
- echo %PATH%
- echo %GOPATH%
- go version
- go env
- go get -d ./...
build_script:
- go test -v -cpu=2 ./...
- go test -cpu=1,2,4 -short -race ./...

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/**
* 8-bit Galois Field
* Copyright 2015, Klaus Post
* Copyright 2015, Backblaze, Inc. All rights reserved.
*/
package reedsolomon
const (
// The number of elements in the field.
fieldSize = 256
// The polynomial used to generate the logarithm table.
//
// There are a number of polynomials that work to generate
// a Galois field of 256 elements. The choice is arbitrary,
// and we just use the first one.
//
// The possibilities are: 29, 43, 45, 77, 95, 99, 101, 105,
//* 113, 135, 141, 169, 195, 207, 231, and 245.
generatingPolynomial = 29
)
var logTable = [fieldSize]byte{
0, 0, 1, 25, 2, 50, 26, 198,
3, 223, 51, 238, 27, 104, 199, 75,
4, 100, 224, 14, 52, 141, 239, 129,
28, 193, 105, 248, 200, 8, 76, 113,
5, 138, 101, 47, 225, 36, 15, 33,
53, 147, 142, 218, 240, 18, 130, 69,
29, 181, 194, 125, 106, 39, 249, 185,
201, 154, 9, 120, 77, 228, 114, 166,
6, 191, 139, 98, 102, 221, 48, 253,
226, 152, 37, 179, 16, 145, 34, 136,
54, 208, 148, 206, 143, 150, 219, 189,
241, 210, 19, 92, 131, 56, 70, 64,
30, 66, 182, 163, 195, 72, 126, 110,
107, 58, 40, 84, 250, 133, 186, 61,
202, 94, 155, 159, 10, 21, 121, 43,
78, 212, 229, 172, 115, 243, 167, 87,
7, 112, 192, 247, 140, 128, 99, 13,
103, 74, 222, 237, 49, 197, 254, 24,
227, 165, 153, 119, 38, 184, 180, 124,
17, 68, 146, 217, 35, 32, 137, 46,
55, 63, 209, 91, 149, 188, 207, 205,
144, 135, 151, 178, 220, 252, 190, 97,
242, 86, 211, 171, 20, 42, 93, 158,
132, 60, 57, 83, 71, 109, 65, 162,
31, 45, 67, 216, 183, 123, 164, 118,
196, 23, 73, 236, 127, 12, 111, 246,
108, 161, 59, 82, 41, 157, 85, 170,
251, 96, 134, 177, 187, 204, 62, 90,
203, 89, 95, 176, 156, 169, 160, 81,
11, 245, 22, 235, 122, 117, 44, 215,
79, 174, 213, 233, 230, 231, 173, 232,
116, 214, 244, 234, 168, 80, 88, 175,
}
/**
* Inverse of the logarithm table. Maps integer logarithms
* to members of the field. There is no entry for 255
* because the highest log is 254.
*
* This table was generated by `go run gentables.go`
*/
var expTable = []byte{0x1, 0x2, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80, 0x1d, 0x3a, 0x74, 0xe8, 0xcd, 0x87, 0x13, 0x26, 0x4c, 0x98, 0x2d, 0x5a, 0xb4, 0x75, 0xea, 0xc9, 0x8f, 0x3, 0x6, 0xc, 0x18, 0x30, 0x60, 0xc0, 0x9d, 0x27, 0x4e, 0x9c, 0x25, 0x4a, 0x94, 0x35, 0x6a, 0xd4, 0xb5, 0x77, 0xee, 0xc1, 0x9f, 0x23, 0x46, 0x8c, 0x5, 0xa, 0x14, 0x28, 0x50, 0xa0, 0x5d, 0xba, 0x69, 0xd2, 0xb9, 0x6f, 0xde, 0xa1, 0x5f, 0xbe, 0x61, 0xc2, 0x99, 0x2f, 0x5e, 0xbc, 0x65, 0xca, 0x89, 0xf, 0x1e, 0x3c, 0x78, 0xf0, 0xfd, 0xe7, 0xd3, 0xbb, 0x6b, 0xd6, 0xb1, 0x7f, 0xfe, 0xe1, 0xdf, 0xa3, 0x5b, 0xb6, 0x71, 0xe2, 0xd9, 0xaf, 0x43, 0x86, 0x11, 0x22, 0x44, 0x88, 0xd, 0x1a, 0x34, 0x68, 0xd0, 0xbd, 0x67, 0xce, 0x81, 0x1f, 0x3e, 0x7c, 0xf8, 0xed, 0xc7, 0x93, 0x3b, 0x76, 0xec, 0xc5, 0x97, 0x33, 0x66, 0xcc, 0x85, 0x17, 0x2e, 0x5c, 0xb8, 0x6d, 0xda, 0xa9, 0x4f, 0x9e, 0x21, 0x42, 0x84, 0x15, 0x2a, 0x54, 0xa8, 0x4d, 0x9a, 0x29, 0x52, 0xa4, 0x55, 0xaa, 0x49, 0x92, 0x39, 0x72, 0xe4, 0xd5, 0xb7, 0x73, 0xe6, 0xd1, 0xbf, 0x63, 0xc6, 0x91, 0x3f, 0x7e, 0xfc, 0xe5, 0xd7, 0xb3, 0x7b, 0xf6, 0xf1, 0xff, 0xe3, 0xdb, 0xab, 0x4b, 0x96, 0x31, 0x62, 0xc4, 0x95, 0x37, 0x6e, 0xdc, 0xa5, 0x57, 0xae, 0x41, 0x82, 0x19, 0x32, 0x64, 0xc8, 0x8d, 0x7, 0xe, 0x1c, 0x38, 0x70, 0xe0, 0xdd, 0xa7, 0x53, 0xa6, 0x51, 0xa2, 0x59, 0xb2, 0x79, 0xf2, 0xf9, 0xef, 0xc3, 0x9b, 0x2b, 0x56, 0xac, 0x45, 0x8a, 0x9, 0x12, 0x24, 0x48, 0x90, 0x3d, 0x7a, 0xf4, 0xf5, 0xf7, 0xf3, 0xfb, 0xeb, 0xcb, 0x8b, 0xb, 0x16, 0x2c, 0x58, 0xb0, 0x7d, 0xfa, 0xe9, 0xcf, 0x83, 0x1b, 0x36, 0x6c, 0xd8, 0xad, 0x47, 0x8e, 0x1, 0x2, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80, 0x1d, 0x3a, 0x74, 0xe8, 0xcd, 0x87, 0x13, 0x26, 0x4c, 0x98, 0x2d, 0x5a, 0xb4, 0x75, 0xea, 0xc9, 0x8f, 0x3, 0x6, 0xc, 0x18, 0x30, 0x60, 0xc0, 0x9d, 0x27, 0x4e, 0x9c, 0x25, 0x4a, 0x94, 0x35, 0x6a, 0xd4, 0xb5, 0x77, 0xee, 0xc1, 0x9f, 0x23, 0x46, 0x8c, 0x5, 0xa, 0x14, 0x28, 0x50, 0xa0, 0x5d, 0xba, 0x69, 0xd2, 0xb9, 0x6f, 0xde, 0xa1, 0x5f, 0xbe, 0x61, 0xc2, 0x99, 0x2f, 0x5e, 0xbc, 0x65, 0xca, 0x89, 0xf, 0x1e, 0x3c, 0x78, 0xf0, 0xfd, 0xe7, 0xd3, 0xbb, 0x6b, 0xd6, 0xb1, 0x7f, 0xfe, 0xe1, 0xdf, 0xa3, 0x5b, 0xb6, 0x71, 0xe2, 0xd9, 0xaf, 0x43, 0x86, 0x11, 0x22, 0x44, 0x88, 0xd, 0x1a, 0x34, 0x68, 0xd0, 0xbd, 0x67, 0xce, 0x81, 0x1f, 0x3e, 0x7c, 0xf8, 0xed, 0xc7, 0x93, 0x3b, 0x76, 0xec, 0xc5, 0x97, 0x33, 0x66, 0xcc, 0x85, 0x17, 0x2e, 0x5c, 0xb8, 0x6d, 0xda, 0xa9, 0x4f, 0x9e, 0x21, 0x42, 0x84, 0x15, 0x2a, 0x54, 0xa8, 0x4d, 0x9a, 0x29, 0x52, 0xa4, 0x55, 0xaa, 0x49, 0x92, 0x39, 0x72, 0xe4, 0xd5, 0xb7, 0x73, 0xe6, 0xd1, 0xbf, 0x63, 0xc6, 0x91, 0x3f, 0x7e, 0xfc, 0xe5, 0xd7, 0xb3, 0x7b, 0xf6, 0xf1, 0xff, 0xe3, 0xdb, 0xab, 0x4b, 0x96, 0x31, 0x62, 0xc4, 0x95, 0x37, 0x6e, 0xdc, 0xa5, 0x57, 0xae, 0x41, 0x82, 0x19, 0x32, 0x64, 0xc8, 0x8d, 0x7, 0xe, 0x1c, 0x38, 0x70, 0xe0, 0xdd, 0xa7, 0x53, 0xa6, 0x51, 0xa2, 0x59, 0xb2, 0x79, 0xf2, 0xf9, 0xef, 0xc3, 0x9b, 0x2b, 0x56, 0xac, 0x45, 0x8a, 0x9, 0x12, 0x24, 0x48, 0x90, 0x3d, 0x7a, 0xf4, 0xf5, 0xf7, 0xf3, 0xfb, 0xeb, 0xcb, 0x8b, 0xb, 0x16, 0x2c, 0x58, 0xb0, 0x7d, 0xfa, 0xe9, 0xcf, 0x83, 0x1b, 0x36, 0x6c, 0xd8, 0xad, 0x47, 0x8e}
func galAdd(a, b byte) byte {
return a ^ b
}
func galSub(a, b byte) byte {
return a ^ b
}
// Table from https://github.com/templexxx/reedsolomon
var invTable = [256]byte{0x0, 0x1, 0x8e, 0xf4, 0x47, 0xa7, 0x7a, 0xba, 0xad, 0x9d, 0xdd, 0x98, 0x3d, 0xaa, 0x5d, 0x96, 0xd8, 0x72, 0xc0, 0x58, 0xe0, 0x3e, 0x4c, 0x66, 0x90, 0xde, 0x55, 0x80, 0xa0, 0x83, 0x4b, 0x2a, 0x6c, 0xed, 0x39, 0x51, 0x60, 0x56, 0x2c, 0x8a, 0x70, 0xd0, 0x1f, 0x4a, 0x26, 0x8b, 0x33, 0x6e, 0x48, 0x89, 0x6f, 0x2e, 0xa4, 0xc3, 0x40, 0x5e, 0x50, 0x22, 0xcf, 0xa9, 0xab, 0xc, 0x15, 0xe1, 0x36, 0x5f, 0xf8, 0xd5, 0x92, 0x4e, 0xa6, 0x4, 0x30, 0x88, 0x2b, 0x1e, 0x16, 0x67, 0x45, 0x93, 0x38, 0x23, 0x68, 0x8c, 0x81, 0x1a, 0x25, 0x61, 0x13, 0xc1, 0xcb, 0x63, 0x97, 0xe, 0x37, 0x41, 0x24, 0x57, 0xca, 0x5b, 0xb9, 0xc4, 0x17, 0x4d, 0x52, 0x8d, 0xef, 0xb3, 0x20, 0xec, 0x2f, 0x32, 0x28, 0xd1, 0x11, 0xd9, 0xe9, 0xfb, 0xda, 0x79, 0xdb, 0x77, 0x6, 0xbb, 0x84, 0xcd, 0xfe, 0xfc, 0x1b, 0x54, 0xa1, 0x1d, 0x7c, 0xcc, 0xe4, 0xb0, 0x49, 0x31, 0x27, 0x2d, 0x53, 0x69, 0x2, 0xf5, 0x18, 0xdf, 0x44, 0x4f, 0x9b, 0xbc, 0xf, 0x5c, 0xb, 0xdc, 0xbd, 0x94, 0xac, 0x9, 0xc7, 0xa2, 0x1c, 0x82, 0x9f, 0xc6, 0x34, 0xc2, 0x46, 0x5, 0xce, 0x3b, 0xd, 0x3c, 0x9c, 0x8, 0xbe, 0xb7, 0x87, 0xe5, 0xee, 0x6b, 0xeb, 0xf2, 0xbf, 0xaf, 0xc5, 0x64, 0x7, 0x7b, 0x95, 0x9a, 0xae, 0xb6, 0x12, 0x59, 0xa5, 0x35, 0x65, 0xb8, 0xa3, 0x9e, 0xd2, 0xf7, 0x62, 0x5a, 0x85, 0x7d, 0xa8, 0x3a, 0x29, 0x71, 0xc8, 0xf6, 0xf9, 0x43, 0xd7, 0xd6, 0x10, 0x73, 0x76, 0x78, 0x99, 0xa, 0x19, 0x91, 0x14, 0x3f, 0xe6, 0xf0, 0x86, 0xb1, 0xe2, 0xf1, 0xfa, 0x74, 0xf3, 0xb4, 0x6d, 0x21, 0xb2, 0x6a, 0xe3, 0xe7, 0xb5, 0xea, 0x3, 0x8f, 0xd3, 0xc9, 0x42, 0xd4, 0xe8, 0x75, 0x7f, 0xff, 0x7e, 0xfd}
var mulTable = [256][256]uint8{[256]uint8{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0},
{0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xe, 0xf, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f, 0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f, 0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47, 0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f, 0x50, 0x51, 0x52, 0x53, 0x54, 0x55, 0x56, 0x57, 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f, 0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67, 0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f, 0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f, 0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f, 0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97, 0x98, 0x99, 0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f, 0xa0, 0xa1, 0xa2, 0xa3, 0xa4, 0xa5, 0xa6, 0xa7, 0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xad, 0xae, 0xaf, 0xb0, 0xb1, 0xb2, 0xb3, 0xb4, 0xb5, 0xb6, 0xb7, 0xb8, 0xb9, 0xba, 0xbb, 0xbc, 0xbd, 0xbe, 0xbf, 0xc0, 0xc1, 0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7, 0xc8, 0xc9, 0xca, 0xcb, 0xcc, 0xcd, 0xce, 0xcf, 0xd0, 0xd1, 0xd2, 0xd3, 0xd4, 0xd5, 0xd6, 0xd7, 0xd8, 0xd9, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf, 0xe0, 0xe1, 0xe2, 0xe3, 0xe4, 0xe5, 0xe6, 0xe7, 0xe8, 0xe9, 0xea, 0xeb, 0xec, 0xed, 0xee, 0xef, 0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff},
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{0x0, 0xfe, 0xe1, 0x1f, 0xdf, 0x21, 0x3e, 0xc0, 0xa3, 0x5d, 0x42, 0xbc, 0x7c, 0x82, 0x9d, 0x63, 0x5b, 0xa5, 0xba, 0x44, 0x84, 0x7a, 0x65, 0x9b, 0xf8, 0x6, 0x19, 0xe7, 0x27, 0xd9, 0xc6, 0x38, 0xb6, 0x48, 0x57, 0xa9, 0x69, 0x97, 0x88, 0x76, 0x15, 0xeb, 0xf4, 0xa, 0xca, 0x34, 0x2b, 0xd5, 0xed, 0x13, 0xc, 0xf2, 0x32, 0xcc, 0xd3, 0x2d, 0x4e, 0xb0, 0xaf, 0x51, 0x91, 0x6f, 0x70, 0x8e, 0x71, 0x8f, 0x90, 0x6e, 0xae, 0x50, 0x4f, 0xb1, 0xd2, 0x2c, 0x33, 0xcd, 0xd, 0xf3, 0xec, 0x12, 0x2a, 0xd4, 0xcb, 0x35, 0xf5, 0xb, 0x14, 0xea, 0x89, 0x77, 0x68, 0x96, 0x56, 0xa8, 0xb7, 0x49, 0xc7, 0x39, 0x26, 0xd8, 0x18, 0xe6, 0xf9, 0x7, 0x64, 0x9a, 0x85, 0x7b, 0xbb, 0x45, 0x5a, 0xa4, 0x9c, 0x62, 0x7d, 0x83, 0x43, 0xbd, 0xa2, 0x5c, 0x3f, 0xc1, 0xde, 0x20, 0xe0, 0x1e, 0x1, 0xff, 0xe2, 0x1c, 0x3, 0xfd, 0x3d, 0xc3, 0xdc, 0x22, 0x41, 0xbf, 0xa0, 0x5e, 0x9e, 0x60, 0x7f, 0x81, 0xb9, 0x47, 0x58, 0xa6, 0x66, 0x98, 0x87, 0x79, 0x1a, 0xe4, 0xfb, 0x5, 0xc5, 0x3b, 0x24, 0xda, 0x54, 0xaa, 0xb5, 0x4b, 0x8b, 0x75, 0x6a, 0x94, 0xf7, 0x9, 0x16, 0xe8, 0x28, 0xd6, 0xc9, 0x37, 0xf, 0xf1, 0xee, 0x10, 0xd0, 0x2e, 0x31, 0xcf, 0xac, 0x52, 0x4d, 0xb3, 0x73, 0x8d, 0x92, 0x6c, 0x93, 0x6d, 0x72, 0x8c, 0x4c, 0xb2, 0xad, 0x53, 0x30, 0xce, 0xd1, 0x2f, 0xef, 0x11, 0xe, 0xf0, 0xc8, 0x36, 0x29, 0xd7, 0x17, 0xe9, 0xf6, 0x8, 0x6b, 0x95, 0x8a, 0x74, 0xb4, 0x4a, 0x55, 0xab, 0x25, 0xdb, 0xc4, 0x3a, 0xfa, 0x4, 0x1b, 0xe5, 0x86, 0x78, 0x67, 0x99, 0x59, 0xa7, 0xb8, 0x46, 0x7e, 0x80, 0x9f, 0x61, 0xa1, 0x5f, 0x40, 0xbe, 0xdd, 0x23, 0x3c, 0xc2, 0x2, 0xfc, 0xe3, 0x1d},
{0x0, 0xff, 0xe3, 0x1c, 0xdb, 0x24, 0x38, 0xc7, 0xab, 0x54, 0x48, 0xb7, 0x70, 0x8f, 0x93, 0x6c, 0x4b, 0xb4, 0xa8, 0x57, 0x90, 0x6f, 0x73, 0x8c, 0xe0, 0x1f, 0x3, 0xfc, 0x3b, 0xc4, 0xd8, 0x27, 0x96, 0x69, 0x75, 0x8a, 0x4d, 0xb2, 0xae, 0x51, 0x3d, 0xc2, 0xde, 0x21, 0xe6, 0x19, 0x5, 0xfa, 0xdd, 0x22, 0x3e, 0xc1, 0x6, 0xf9, 0xe5, 0x1a, 0x76, 0x89, 0x95, 0x6a, 0xad, 0x52, 0x4e, 0xb1, 0x31, 0xce, 0xd2, 0x2d, 0xea, 0x15, 0x9, 0xf6, 0x9a, 0x65, 0x79, 0x86, 0x41, 0xbe, 0xa2, 0x5d, 0x7a, 0x85, 0x99, 0x66, 0xa1, 0x5e, 0x42, 0xbd, 0xd1, 0x2e, 0x32, 0xcd, 0xa, 0xf5, 0xe9, 0x16, 0xa7, 0x58, 0x44, 0xbb, 0x7c, 0x83, 0x9f, 0x60, 0xc, 0xf3, 0xef, 0x10, 0xd7, 0x28, 0x34, 0xcb, 0xec, 0x13, 0xf, 0xf0, 0x37, 0xc8, 0xd4, 0x2b, 0x47, 0xb8, 0xa4, 0x5b, 0x9c, 0x63, 0x7f, 0x80, 0x62, 0x9d, 0x81, 0x7e, 0xb9, 0x46, 0x5a, 0xa5, 0xc9, 0x36, 0x2a, 0xd5, 0x12, 0xed, 0xf1, 0xe, 0x29, 0xd6, 0xca, 0x35, 0xf2, 0xd, 0x11, 0xee, 0x82, 0x7d, 0x61, 0x9e, 0x59, 0xa6, 0xba, 0x45, 0xf4, 0xb, 0x17, 0xe8, 0x2f, 0xd0, 0xcc, 0x33, 0x5f, 0xa0, 0xbc, 0x43, 0x84, 0x7b, 0x67, 0x98, 0xbf, 0x40, 0x5c, 0xa3, 0x64, 0x9b, 0x87, 0x78, 0x14, 0xeb, 0xf7, 0x8, 0xcf, 0x30, 0x2c, 0xd3, 0x53, 0xac, 0xb0, 0x4f, 0x88, 0x77, 0x6b, 0x94, 0xf8, 0x7, 0x1b, 0xe4, 0x23, 0xdc, 0xc0, 0x3f, 0x18, 0xe7, 0xfb, 0x4, 0xc3, 0x3c, 0x20, 0xdf, 0xb3, 0x4c, 0x50, 0xaf, 0x68, 0x97, 0x8b, 0x74, 0xc5, 0x3a, 0x26, 0xd9, 0x1e, 0xe1, 0xfd, 0x2, 0x6e, 0x91, 0x8d, 0x72, 0xb5, 0x4a, 0x56, 0xa9, 0x8e, 0x71, 0x6d, 0x92, 0x55, 0xaa, 0xb6, 0x49, 0x25, 0xda, 0xc6, 0x39, 0xfe, 0x1, 0x1d, 0xe2}}
var mulTableLow = [256][16]uint8{{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0},
{0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xe, 0xf},
{0x0, 0x2, 0x4, 0x6, 0x8, 0xa, 0xc, 0xe, 0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e},
{0x0, 0x3, 0x6, 0x5, 0xc, 0xf, 0xa, 0x9, 0x18, 0x1b, 0x1e, 0x1d, 0x14, 0x17, 0x12, 0x11},
{0x0, 0x4, 0x8, 0xc, 0x10, 0x14, 0x18, 0x1c, 0x20, 0x24, 0x28, 0x2c, 0x30, 0x34, 0x38, 0x3c},
{0x0, 0x5, 0xa, 0xf, 0x14, 0x11, 0x1e, 0x1b, 0x28, 0x2d, 0x22, 0x27, 0x3c, 0x39, 0x36, 0x33},
{0x0, 0x6, 0xc, 0xa, 0x18, 0x1e, 0x14, 0x12, 0x30, 0x36, 0x3c, 0x3a, 0x28, 0x2e, 0x24, 0x22},
{0x0, 0x7, 0xe, 0x9, 0x1c, 0x1b, 0x12, 0x15, 0x38, 0x3f, 0x36, 0x31, 0x24, 0x23, 0x2a, 0x2d},
{0x0, 0x8, 0x10, 0x18, 0x20, 0x28, 0x30, 0x38, 0x40, 0x48, 0x50, 0x58, 0x60, 0x68, 0x70, 0x78},
{0x0, 0x9, 0x12, 0x1b, 0x24, 0x2d, 0x36, 0x3f, 0x48, 0x41, 0x5a, 0x53, 0x6c, 0x65, 0x7e, 0x77},
{0x0, 0xa, 0x14, 0x1e, 0x28, 0x22, 0x3c, 0x36, 0x50, 0x5a, 0x44, 0x4e, 0x78, 0x72, 0x6c, 0x66},
{0x0, 0xb, 0x16, 0x1d, 0x2c, 0x27, 0x3a, 0x31, 0x58, 0x53, 0x4e, 0x45, 0x74, 0x7f, 0x62, 0x69},
{0x0, 0xc, 0x18, 0x14, 0x30, 0x3c, 0x28, 0x24, 0x60, 0x6c, 0x78, 0x74, 0x50, 0x5c, 0x48, 0x44},
{0x0, 0xd, 0x1a, 0x17, 0x34, 0x39, 0x2e, 0x23, 0x68, 0x65, 0x72, 0x7f, 0x5c, 0x51, 0x46, 0x4b},
{0x0, 0xe, 0x1c, 0x12, 0x38, 0x36, 0x24, 0x2a, 0x70, 0x7e, 0x6c, 0x62, 0x48, 0x46, 0x54, 0x5a},
{0x0, 0xf, 0x1e, 0x11, 0x3c, 0x33, 0x22, 0x2d, 0x78, 0x77, 0x66, 0x69, 0x44, 0x4b, 0x5a, 0x55},
{0x0, 0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x70, 0x80, 0x90, 0xa0, 0xb0, 0xc0, 0xd0, 0xe0, 0xf0},
{0x0, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff},
{0x0, 0x12, 0x24, 0x36, 0x48, 0x5a, 0x6c, 0x7e, 0x90, 0x82, 0xb4, 0xa6, 0xd8, 0xca, 0xfc, 0xee},
{0x0, 0x13, 0x26, 0x35, 0x4c, 0x5f, 0x6a, 0x79, 0x98, 0x8b, 0xbe, 0xad, 0xd4, 0xc7, 0xf2, 0xe1},
{0x0, 0x14, 0x28, 0x3c, 0x50, 0x44, 0x78, 0x6c, 0xa0, 0xb4, 0x88, 0x9c, 0xf0, 0xe4, 0xd8, 0xcc},
{0x0, 0x15, 0x2a, 0x3f, 0x54, 0x41, 0x7e, 0x6b, 0xa8, 0xbd, 0x82, 0x97, 0xfc, 0xe9, 0xd6, 0xc3},
{0x0, 0x16, 0x2c, 0x3a, 0x58, 0x4e, 0x74, 0x62, 0xb0, 0xa6, 0x9c, 0x8a, 0xe8, 0xfe, 0xc4, 0xd2},
{0x0, 0x17, 0x2e, 0x39, 0x5c, 0x4b, 0x72, 0x65, 0xb8, 0xaf, 0x96, 0x81, 0xe4, 0xf3, 0xca, 0xdd},
{0x0, 0x18, 0x30, 0x28, 0x60, 0x78, 0x50, 0x48, 0xc0, 0xd8, 0xf0, 0xe8, 0xa0, 0xb8, 0x90, 0x88},
{0x0, 0x19, 0x32, 0x2b, 0x64, 0x7d, 0x56, 0x4f, 0xc8, 0xd1, 0xfa, 0xe3, 0xac, 0xb5, 0x9e, 0x87},
{0x0, 0x1a, 0x34, 0x2e, 0x68, 0x72, 0x5c, 0x46, 0xd0, 0xca, 0xe4, 0xfe, 0xb8, 0xa2, 0x8c, 0x96},
{0x0, 0x1b, 0x36, 0x2d, 0x6c, 0x77, 0x5a, 0x41, 0xd8, 0xc3, 0xee, 0xf5, 0xb4, 0xaf, 0x82, 0x99},
{0x0, 0x1c, 0x38, 0x24, 0x70, 0x6c, 0x48, 0x54, 0xe0, 0xfc, 0xd8, 0xc4, 0x90, 0x8c, 0xa8, 0xb4},
{0x0, 0x1d, 0x3a, 0x27, 0x74, 0x69, 0x4e, 0x53, 0xe8, 0xf5, 0xd2, 0xcf, 0x9c, 0x81, 0xa6, 0xbb},
{0x0, 0x1e, 0x3c, 0x22, 0x78, 0x66, 0x44, 0x5a, 0xf0, 0xee, 0xcc, 0xd2, 0x88, 0x96, 0xb4, 0xaa},
{0x0, 0x1f, 0x3e, 0x21, 0x7c, 0x63, 0x42, 0x5d, 0xf8, 0xe7, 0xc6, 0xd9, 0x84, 0x9b, 0xba, 0xa5},
{0x0, 0x20, 0x40, 0x60, 0x80, 0xa0, 0xc0, 0xe0, 0x1d, 0x3d, 0x5d, 0x7d, 0x9d, 0xbd, 0xdd, 0xfd},
{0x0, 0x21, 0x42, 0x63, 0x84, 0xa5, 0xc6, 0xe7, 0x15, 0x34, 0x57, 0x76, 0x91, 0xb0, 0xd3, 0xf2},
{0x0, 0x22, 0x44, 0x66, 0x88, 0xaa, 0xcc, 0xee, 0xd, 0x2f, 0x49, 0x6b, 0x85, 0xa7, 0xc1, 0xe3},
{0x0, 0x23, 0x46, 0x65, 0x8c, 0xaf, 0xca, 0xe9, 0x5, 0x26, 0x43, 0x60, 0x89, 0xaa, 0xcf, 0xec},
{0x0, 0x24, 0x48, 0x6c, 0x90, 0xb4, 0xd8, 0xfc, 0x3d, 0x19, 0x75, 0x51, 0xad, 0x89, 0xe5, 0xc1},
{0x0, 0x25, 0x4a, 0x6f, 0x94, 0xb1, 0xde, 0xfb, 0x35, 0x10, 0x7f, 0x5a, 0xa1, 0x84, 0xeb, 0xce},
{0x0, 0x26, 0x4c, 0x6a, 0x98, 0xbe, 0xd4, 0xf2, 0x2d, 0xb, 0x61, 0x47, 0xb5, 0x93, 0xf9, 0xdf},
{0x0, 0x27, 0x4e, 0x69, 0x9c, 0xbb, 0xd2, 0xf5, 0x25, 0x2, 0x6b, 0x4c, 0xb9, 0x9e, 0xf7, 0xd0},
{0x0, 0x28, 0x50, 0x78, 0xa0, 0x88, 0xf0, 0xd8, 0x5d, 0x75, 0xd, 0x25, 0xfd, 0xd5, 0xad, 0x85},
{0x0, 0x29, 0x52, 0x7b, 0xa4, 0x8d, 0xf6, 0xdf, 0x55, 0x7c, 0x7, 0x2e, 0xf1, 0xd8, 0xa3, 0x8a},
{0x0, 0x2a, 0x54, 0x7e, 0xa8, 0x82, 0xfc, 0xd6, 0x4d, 0x67, 0x19, 0x33, 0xe5, 0xcf, 0xb1, 0x9b},
{0x0, 0x2b, 0x56, 0x7d, 0xac, 0x87, 0xfa, 0xd1, 0x45, 0x6e, 0x13, 0x38, 0xe9, 0xc2, 0xbf, 0x94},
{0x0, 0x2c, 0x58, 0x74, 0xb0, 0x9c, 0xe8, 0xc4, 0x7d, 0x51, 0x25, 0x9, 0xcd, 0xe1, 0x95, 0xb9},
{0x0, 0x2d, 0x5a, 0x77, 0xb4, 0x99, 0xee, 0xc3, 0x75, 0x58, 0x2f, 0x2, 0xc1, 0xec, 0x9b, 0xb6},
{0x0, 0x2e, 0x5c, 0x72, 0xb8, 0x96, 0xe4, 0xca, 0x6d, 0x43, 0x31, 0x1f, 0xd5, 0xfb, 0x89, 0xa7},
{0x0, 0x2f, 0x5e, 0x71, 0xbc, 0x93, 0xe2, 0xcd, 0x65, 0x4a, 0x3b, 0x14, 0xd9, 0xf6, 0x87, 0xa8},
{0x0, 0x30, 0x60, 0x50, 0xc0, 0xf0, 0xa0, 0x90, 0x9d, 0xad, 0xfd, 0xcd, 0x5d, 0x6d, 0x3d, 0xd},
{0x0, 0x31, 0x62, 0x53, 0xc4, 0xf5, 0xa6, 0x97, 0x95, 0xa4, 0xf7, 0xc6, 0x51, 0x60, 0x33, 0x2},
{0x0, 0x32, 0x64, 0x56, 0xc8, 0xfa, 0xac, 0x9e, 0x8d, 0xbf, 0xe9, 0xdb, 0x45, 0x77, 0x21, 0x13},
{0x0, 0x33, 0x66, 0x55, 0xcc, 0xff, 0xaa, 0x99, 0x85, 0xb6, 0xe3, 0xd0, 0x49, 0x7a, 0x2f, 0x1c},
{0x0, 0x34, 0x68, 0x5c, 0xd0, 0xe4, 0xb8, 0x8c, 0xbd, 0x89, 0xd5, 0xe1, 0x6d, 0x59, 0x5, 0x31},
{0x0, 0x35, 0x6a, 0x5f, 0xd4, 0xe1, 0xbe, 0x8b, 0xb5, 0x80, 0xdf, 0xea, 0x61, 0x54, 0xb, 0x3e},
{0x0, 0x36, 0x6c, 0x5a, 0xd8, 0xee, 0xb4, 0x82, 0xad, 0x9b, 0xc1, 0xf7, 0x75, 0x43, 0x19, 0x2f},
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{0x0, 0xa8, 0x4d, 0xe5, 0x9a, 0x32, 0xd7, 0x7f, 0x29, 0x81, 0x64, 0xcc, 0xb3, 0x1b, 0xfe, 0x56},
{0x0, 0xa9, 0x4f, 0xe6, 0x9e, 0x37, 0xd1, 0x78, 0x21, 0x88, 0x6e, 0xc7, 0xbf, 0x16, 0xf0, 0x59},
{0x0, 0xaa, 0x49, 0xe3, 0x92, 0x38, 0xdb, 0x71, 0x39, 0x93, 0x70, 0xda, 0xab, 0x1, 0xe2, 0x48},
{0x0, 0xab, 0x4b, 0xe0, 0x96, 0x3d, 0xdd, 0x76, 0x31, 0x9a, 0x7a, 0xd1, 0xa7, 0xc, 0xec, 0x47},
{0x0, 0xac, 0x45, 0xe9, 0x8a, 0x26, 0xcf, 0x63, 0x9, 0xa5, 0x4c, 0xe0, 0x83, 0x2f, 0xc6, 0x6a},
{0x0, 0xad, 0x47, 0xea, 0x8e, 0x23, 0xc9, 0x64, 0x1, 0xac, 0x46, 0xeb, 0x8f, 0x22, 0xc8, 0x65},
{0x0, 0xae, 0x41, 0xef, 0x82, 0x2c, 0xc3, 0x6d, 0x19, 0xb7, 0x58, 0xf6, 0x9b, 0x35, 0xda, 0x74},
{0x0, 0xaf, 0x43, 0xec, 0x86, 0x29, 0xc5, 0x6a, 0x11, 0xbe, 0x52, 0xfd, 0x97, 0x38, 0xd4, 0x7b},
{0x0, 0xb0, 0x7d, 0xcd, 0xfa, 0x4a, 0x87, 0x37, 0xe9, 0x59, 0x94, 0x24, 0x13, 0xa3, 0x6e, 0xde},
{0x0, 0xb1, 0x7f, 0xce, 0xfe, 0x4f, 0x81, 0x30, 0xe1, 0x50, 0x9e, 0x2f, 0x1f, 0xae, 0x60, 0xd1},
{0x0, 0xb2, 0x79, 0xcb, 0xf2, 0x40, 0x8b, 0x39, 0xf9, 0x4b, 0x80, 0x32, 0xb, 0xb9, 0x72, 0xc0},
{0x0, 0xb3, 0x7b, 0xc8, 0xf6, 0x45, 0x8d, 0x3e, 0xf1, 0x42, 0x8a, 0x39, 0x7, 0xb4, 0x7c, 0xcf},
{0x0, 0xb4, 0x75, 0xc1, 0xea, 0x5e, 0x9f, 0x2b, 0xc9, 0x7d, 0xbc, 0x8, 0x23, 0x97, 0x56, 0xe2},
{0x0, 0xb5, 0x77, 0xc2, 0xee, 0x5b, 0x99, 0x2c, 0xc1, 0x74, 0xb6, 0x3, 0x2f, 0x9a, 0x58, 0xed},
{0x0, 0xb6, 0x71, 0xc7, 0xe2, 0x54, 0x93, 0x25, 0xd9, 0x6f, 0xa8, 0x1e, 0x3b, 0x8d, 0x4a, 0xfc},
{0x0, 0xb7, 0x73, 0xc4, 0xe6, 0x51, 0x95, 0x22, 0xd1, 0x66, 0xa2, 0x15, 0x37, 0x80, 0x44, 0xf3},
{0x0, 0xb8, 0x6d, 0xd5, 0xda, 0x62, 0xb7, 0xf, 0xa9, 0x11, 0xc4, 0x7c, 0x73, 0xcb, 0x1e, 0xa6},
{0x0, 0xb9, 0x6f, 0xd6, 0xde, 0x67, 0xb1, 0x8, 0xa1, 0x18, 0xce, 0x77, 0x7f, 0xc6, 0x10, 0xa9},
{0x0, 0xba, 0x69, 0xd3, 0xd2, 0x68, 0xbb, 0x1, 0xb9, 0x3, 0xd0, 0x6a, 0x6b, 0xd1, 0x2, 0xb8},
{0x0, 0xbb, 0x6b, 0xd0, 0xd6, 0x6d, 0xbd, 0x6, 0xb1, 0xa, 0xda, 0x61, 0x67, 0xdc, 0xc, 0xb7},
{0x0, 0xbc, 0x65, 0xd9, 0xca, 0x76, 0xaf, 0x13, 0x89, 0x35, 0xec, 0x50, 0x43, 0xff, 0x26, 0x9a},
{0x0, 0xbd, 0x67, 0xda, 0xce, 0x73, 0xa9, 0x14, 0x81, 0x3c, 0xe6, 0x5b, 0x4f, 0xf2, 0x28, 0x95},
{0x0, 0xbe, 0x61, 0xdf, 0xc2, 0x7c, 0xa3, 0x1d, 0x99, 0x27, 0xf8, 0x46, 0x5b, 0xe5, 0x3a, 0x84},
{0x0, 0xbf, 0x63, 0xdc, 0xc6, 0x79, 0xa5, 0x1a, 0x91, 0x2e, 0xf2, 0x4d, 0x57, 0xe8, 0x34, 0x8b},
{0x0, 0xc0, 0x9d, 0x5d, 0x27, 0xe7, 0xba, 0x7a, 0x4e, 0x8e, 0xd3, 0x13, 0x69, 0xa9, 0xf4, 0x34},
{0x0, 0xc1, 0x9f, 0x5e, 0x23, 0xe2, 0xbc, 0x7d, 0x46, 0x87, 0xd9, 0x18, 0x65, 0xa4, 0xfa, 0x3b},
{0x0, 0xc2, 0x99, 0x5b, 0x2f, 0xed, 0xb6, 0x74, 0x5e, 0x9c, 0xc7, 0x5, 0x71, 0xb3, 0xe8, 0x2a},
{0x0, 0xc3, 0x9b, 0x58, 0x2b, 0xe8, 0xb0, 0x73, 0x56, 0x95, 0xcd, 0xe, 0x7d, 0xbe, 0xe6, 0x25},
{0x0, 0xc4, 0x95, 0x51, 0x37, 0xf3, 0xa2, 0x66, 0x6e, 0xaa, 0xfb, 0x3f, 0x59, 0x9d, 0xcc, 0x8},
{0x0, 0xc5, 0x97, 0x52, 0x33, 0xf6, 0xa4, 0x61, 0x66, 0xa3, 0xf1, 0x34, 0x55, 0x90, 0xc2, 0x7},
{0x0, 0xc6, 0x91, 0x57, 0x3f, 0xf9, 0xae, 0x68, 0x7e, 0xb8, 0xef, 0x29, 0x41, 0x87, 0xd0, 0x16},
{0x0, 0xc7, 0x93, 0x54, 0x3b, 0xfc, 0xa8, 0x6f, 0x76, 0xb1, 0xe5, 0x22, 0x4d, 0x8a, 0xde, 0x19},
{0x0, 0xc8, 0x8d, 0x45, 0x7, 0xcf, 0x8a, 0x42, 0xe, 0xc6, 0x83, 0x4b, 0x9, 0xc1, 0x84, 0x4c},
{0x0, 0xc9, 0x8f, 0x46, 0x3, 0xca, 0x8c, 0x45, 0x6, 0xcf, 0x89, 0x40, 0x5, 0xcc, 0x8a, 0x43},
{0x0, 0xca, 0x89, 0x43, 0xf, 0xc5, 0x86, 0x4c, 0x1e, 0xd4, 0x97, 0x5d, 0x11, 0xdb, 0x98, 0x52},
{0x0, 0xcb, 0x8b, 0x40, 0xb, 0xc0, 0x80, 0x4b, 0x16, 0xdd, 0x9d, 0x56, 0x1d, 0xd6, 0x96, 0x5d},
{0x0, 0xcc, 0x85, 0x49, 0x17, 0xdb, 0x92, 0x5e, 0x2e, 0xe2, 0xab, 0x67, 0x39, 0xf5, 0xbc, 0x70},
{0x0, 0xcd, 0x87, 0x4a, 0x13, 0xde, 0x94, 0x59, 0x26, 0xeb, 0xa1, 0x6c, 0x35, 0xf8, 0xb2, 0x7f},
{0x0, 0xce, 0x81, 0x4f, 0x1f, 0xd1, 0x9e, 0x50, 0x3e, 0xf0, 0xbf, 0x71, 0x21, 0xef, 0xa0, 0x6e},
{0x0, 0xcf, 0x83, 0x4c, 0x1b, 0xd4, 0x98, 0x57, 0x36, 0xf9, 0xb5, 0x7a, 0x2d, 0xe2, 0xae, 0x61},
{0x0, 0xd0, 0xbd, 0x6d, 0x67, 0xb7, 0xda, 0xa, 0xce, 0x1e, 0x73, 0xa3, 0xa9, 0x79, 0x14, 0xc4},
{0x0, 0xd1, 0xbf, 0x6e, 0x63, 0xb2, 0xdc, 0xd, 0xc6, 0x17, 0x79, 0xa8, 0xa5, 0x74, 0x1a, 0xcb},
{0x0, 0xd2, 0xb9, 0x6b, 0x6f, 0xbd, 0xd6, 0x4, 0xde, 0xc, 0x67, 0xb5, 0xb1, 0x63, 0x8, 0xda},
{0x0, 0xd3, 0xbb, 0x68, 0x6b, 0xb8, 0xd0, 0x3, 0xd6, 0x5, 0x6d, 0xbe, 0xbd, 0x6e, 0x6, 0xd5},
{0x0, 0xd4, 0xb5, 0x61, 0x77, 0xa3, 0xc2, 0x16, 0xee, 0x3a, 0x5b, 0x8f, 0x99, 0x4d, 0x2c, 0xf8},
{0x0, 0xd5, 0xb7, 0x62, 0x73, 0xa6, 0xc4, 0x11, 0xe6, 0x33, 0x51, 0x84, 0x95, 0x40, 0x22, 0xf7},
{0x0, 0xd6, 0xb1, 0x67, 0x7f, 0xa9, 0xce, 0x18, 0xfe, 0x28, 0x4f, 0x99, 0x81, 0x57, 0x30, 0xe6},
{0x0, 0xd7, 0xb3, 0x64, 0x7b, 0xac, 0xc8, 0x1f, 0xf6, 0x21, 0x45, 0x92, 0x8d, 0x5a, 0x3e, 0xe9},
{0x0, 0xd8, 0xad, 0x75, 0x47, 0x9f, 0xea, 0x32, 0x8e, 0x56, 0x23, 0xfb, 0xc9, 0x11, 0x64, 0xbc},
{0x0, 0xd9, 0xaf, 0x76, 0x43, 0x9a, 0xec, 0x35, 0x86, 0x5f, 0x29, 0xf0, 0xc5, 0x1c, 0x6a, 0xb3},
{0x0, 0xda, 0xa9, 0x73, 0x4f, 0x95, 0xe6, 0x3c, 0x9e, 0x44, 0x37, 0xed, 0xd1, 0xb, 0x78, 0xa2},
{0x0, 0xdb, 0xab, 0x70, 0x4b, 0x90, 0xe0, 0x3b, 0x96, 0x4d, 0x3d, 0xe6, 0xdd, 0x6, 0x76, 0xad},
{0x0, 0xdc, 0xa5, 0x79, 0x57, 0x8b, 0xf2, 0x2e, 0xae, 0x72, 0xb, 0xd7, 0xf9, 0x25, 0x5c, 0x80},
{0x0, 0xdd, 0xa7, 0x7a, 0x53, 0x8e, 0xf4, 0x29, 0xa6, 0x7b, 0x1, 0xdc, 0xf5, 0x28, 0x52, 0x8f},
{0x0, 0xde, 0xa1, 0x7f, 0x5f, 0x81, 0xfe, 0x20, 0xbe, 0x60, 0x1f, 0xc1, 0xe1, 0x3f, 0x40, 0x9e},
{0x0, 0xdf, 0xa3, 0x7c, 0x5b, 0x84, 0xf8, 0x27, 0xb6, 0x69, 0x15, 0xca, 0xed, 0x32, 0x4e, 0x91},
{0x0, 0xe0, 0xdd, 0x3d, 0xa7, 0x47, 0x7a, 0x9a, 0x53, 0xb3, 0x8e, 0x6e, 0xf4, 0x14, 0x29, 0xc9},
{0x0, 0xe1, 0xdf, 0x3e, 0xa3, 0x42, 0x7c, 0x9d, 0x5b, 0xba, 0x84, 0x65, 0xf8, 0x19, 0x27, 0xc6},
{0x0, 0xe2, 0xd9, 0x3b, 0xaf, 0x4d, 0x76, 0x94, 0x43, 0xa1, 0x9a, 0x78, 0xec, 0xe, 0x35, 0xd7},
{0x0, 0xe3, 0xdb, 0x38, 0xab, 0x48, 0x70, 0x93, 0x4b, 0xa8, 0x90, 0x73, 0xe0, 0x3, 0x3b, 0xd8},
{0x0, 0xe4, 0xd5, 0x31, 0xb7, 0x53, 0x62, 0x86, 0x73, 0x97, 0xa6, 0x42, 0xc4, 0x20, 0x11, 0xf5},
{0x0, 0xe5, 0xd7, 0x32, 0xb3, 0x56, 0x64, 0x81, 0x7b, 0x9e, 0xac, 0x49, 0xc8, 0x2d, 0x1f, 0xfa},
{0x0, 0xe6, 0xd1, 0x37, 0xbf, 0x59, 0x6e, 0x88, 0x63, 0x85, 0xb2, 0x54, 0xdc, 0x3a, 0xd, 0xeb},
{0x0, 0xe7, 0xd3, 0x34, 0xbb, 0x5c, 0x68, 0x8f, 0x6b, 0x8c, 0xb8, 0x5f, 0xd0, 0x37, 0x3, 0xe4},
{0x0, 0xe8, 0xcd, 0x25, 0x87, 0x6f, 0x4a, 0xa2, 0x13, 0xfb, 0xde, 0x36, 0x94, 0x7c, 0x59, 0xb1},
{0x0, 0xe9, 0xcf, 0x26, 0x83, 0x6a, 0x4c, 0xa5, 0x1b, 0xf2, 0xd4, 0x3d, 0x98, 0x71, 0x57, 0xbe},
{0x0, 0xea, 0xc9, 0x23, 0x8f, 0x65, 0x46, 0xac, 0x3, 0xe9, 0xca, 0x20, 0x8c, 0x66, 0x45, 0xaf},
{0x0, 0xeb, 0xcb, 0x20, 0x8b, 0x60, 0x40, 0xab, 0xb, 0xe0, 0xc0, 0x2b, 0x80, 0x6b, 0x4b, 0xa0},
{0x0, 0xec, 0xc5, 0x29, 0x97, 0x7b, 0x52, 0xbe, 0x33, 0xdf, 0xf6, 0x1a, 0xa4, 0x48, 0x61, 0x8d},
{0x0, 0xed, 0xc7, 0x2a, 0x93, 0x7e, 0x54, 0xb9, 0x3b, 0xd6, 0xfc, 0x11, 0xa8, 0x45, 0x6f, 0x82},
{0x0, 0xee, 0xc1, 0x2f, 0x9f, 0x71, 0x5e, 0xb0, 0x23, 0xcd, 0xe2, 0xc, 0xbc, 0x52, 0x7d, 0x93},
{0x0, 0xef, 0xc3, 0x2c, 0x9b, 0x74, 0x58, 0xb7, 0x2b, 0xc4, 0xe8, 0x7, 0xb0, 0x5f, 0x73, 0x9c},
{0x0, 0xf0, 0xfd, 0xd, 0xe7, 0x17, 0x1a, 0xea, 0xd3, 0x23, 0x2e, 0xde, 0x34, 0xc4, 0xc9, 0x39},
{0x0, 0xf1, 0xff, 0xe, 0xe3, 0x12, 0x1c, 0xed, 0xdb, 0x2a, 0x24, 0xd5, 0x38, 0xc9, 0xc7, 0x36},
{0x0, 0xf2, 0xf9, 0xb, 0xef, 0x1d, 0x16, 0xe4, 0xc3, 0x31, 0x3a, 0xc8, 0x2c, 0xde, 0xd5, 0x27},
{0x0, 0xf3, 0xfb, 0x8, 0xeb, 0x18, 0x10, 0xe3, 0xcb, 0x38, 0x30, 0xc3, 0x20, 0xd3, 0xdb, 0x28},
{0x0, 0xf4, 0xf5, 0x1, 0xf7, 0x3, 0x2, 0xf6, 0xf3, 0x7, 0x6, 0xf2, 0x4, 0xf0, 0xf1, 0x5},
{0x0, 0xf5, 0xf7, 0x2, 0xf3, 0x6, 0x4, 0xf1, 0xfb, 0xe, 0xc, 0xf9, 0x8, 0xfd, 0xff, 0xa},
{0x0, 0xf6, 0xf1, 0x7, 0xff, 0x9, 0xe, 0xf8, 0xe3, 0x15, 0x12, 0xe4, 0x1c, 0xea, 0xed, 0x1b},
{0x0, 0xf7, 0xf3, 0x4, 0xfb, 0xc, 0x8, 0xff, 0xeb, 0x1c, 0x18, 0xef, 0x10, 0xe7, 0xe3, 0x14},
{0x0, 0xf8, 0xed, 0x15, 0xc7, 0x3f, 0x2a, 0xd2, 0x93, 0x6b, 0x7e, 0x86, 0x54, 0xac, 0xb9, 0x41},
{0x0, 0xf9, 0xef, 0x16, 0xc3, 0x3a, 0x2c, 0xd5, 0x9b, 0x62, 0x74, 0x8d, 0x58, 0xa1, 0xb7, 0x4e},
{0x0, 0xfa, 0xe9, 0x13, 0xcf, 0x35, 0x26, 0xdc, 0x83, 0x79, 0x6a, 0x90, 0x4c, 0xb6, 0xa5, 0x5f},
{0x0, 0xfb, 0xeb, 0x10, 0xcb, 0x30, 0x20, 0xdb, 0x8b, 0x70, 0x60, 0x9b, 0x40, 0xbb, 0xab, 0x50},
{0x0, 0xfc, 0xe5, 0x19, 0xd7, 0x2b, 0x32, 0xce, 0xb3, 0x4f, 0x56, 0xaa, 0x64, 0x98, 0x81, 0x7d},
{0x0, 0xfd, 0xe7, 0x1a, 0xd3, 0x2e, 0x34, 0xc9, 0xbb, 0x46, 0x5c, 0xa1, 0x68, 0x95, 0x8f, 0x72},
{0x0, 0xfe, 0xe1, 0x1f, 0xdf, 0x21, 0x3e, 0xc0, 0xa3, 0x5d, 0x42, 0xbc, 0x7c, 0x82, 0x9d, 0x63},
{0x0, 0xff, 0xe3, 0x1c, 0xdb, 0x24, 0x38, 0xc7, 0xab, 0x54, 0x48, 0xb7, 0x70, 0x8f, 0x93, 0x6c}}
var mulTableHigh = [256][16]uint8{{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0},
{0x0, 0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x70, 0x80, 0x90, 0xa0, 0xb0, 0xc0, 0xd0, 0xe0, 0xf0},
{0x0, 0x20, 0x40, 0x60, 0x80, 0xa0, 0xc0, 0xe0, 0x1d, 0x3d, 0x5d, 0x7d, 0x9d, 0xbd, 0xdd, 0xfd},
{0x0, 0x30, 0x60, 0x50, 0xc0, 0xf0, 0xa0, 0x90, 0x9d, 0xad, 0xfd, 0xcd, 0x5d, 0x6d, 0x3d, 0xd},
{0x0, 0x40, 0x80, 0xc0, 0x1d, 0x5d, 0x9d, 0xdd, 0x3a, 0x7a, 0xba, 0xfa, 0x27, 0x67, 0xa7, 0xe7},
{0x0, 0x50, 0xa0, 0xf0, 0x5d, 0xd, 0xfd, 0xad, 0xba, 0xea, 0x1a, 0x4a, 0xe7, 0xb7, 0x47, 0x17},
{0x0, 0x60, 0xc0, 0xa0, 0x9d, 0xfd, 0x5d, 0x3d, 0x27, 0x47, 0xe7, 0x87, 0xba, 0xda, 0x7a, 0x1a},
{0x0, 0x70, 0xe0, 0x90, 0xdd, 0xad, 0x3d, 0x4d, 0xa7, 0xd7, 0x47, 0x37, 0x7a, 0xa, 0x9a, 0xea},
{0x0, 0x80, 0x1d, 0x9d, 0x3a, 0xba, 0x27, 0xa7, 0x74, 0xf4, 0x69, 0xe9, 0x4e, 0xce, 0x53, 0xd3},
{0x0, 0x90, 0x3d, 0xad, 0x7a, 0xea, 0x47, 0xd7, 0xf4, 0x64, 0xc9, 0x59, 0x8e, 0x1e, 0xb3, 0x23},
{0x0, 0xa0, 0x5d, 0xfd, 0xba, 0x1a, 0xe7, 0x47, 0x69, 0xc9, 0x34, 0x94, 0xd3, 0x73, 0x8e, 0x2e},
{0x0, 0xb0, 0x7d, 0xcd, 0xfa, 0x4a, 0x87, 0x37, 0xe9, 0x59, 0x94, 0x24, 0x13, 0xa3, 0x6e, 0xde},
{0x0, 0xc0, 0x9d, 0x5d, 0x27, 0xe7, 0xba, 0x7a, 0x4e, 0x8e, 0xd3, 0x13, 0x69, 0xa9, 0xf4, 0x34},
{0x0, 0xd0, 0xbd, 0x6d, 0x67, 0xb7, 0xda, 0xa, 0xce, 0x1e, 0x73, 0xa3, 0xa9, 0x79, 0x14, 0xc4},
{0x0, 0xe0, 0xdd, 0x3d, 0xa7, 0x47, 0x7a, 0x9a, 0x53, 0xb3, 0x8e, 0x6e, 0xf4, 0x14, 0x29, 0xc9},
{0x0, 0xf0, 0xfd, 0xd, 0xe7, 0x17, 0x1a, 0xea, 0xd3, 0x23, 0x2e, 0xde, 0x34, 0xc4, 0xc9, 0x39},
{0x0, 0x1d, 0x3a, 0x27, 0x74, 0x69, 0x4e, 0x53, 0xe8, 0xf5, 0xd2, 0xcf, 0x9c, 0x81, 0xa6, 0xbb},
{0x0, 0xd, 0x1a, 0x17, 0x34, 0x39, 0x2e, 0x23, 0x68, 0x65, 0x72, 0x7f, 0x5c, 0x51, 0x46, 0x4b},
{0x0, 0x3d, 0x7a, 0x47, 0xf4, 0xc9, 0x8e, 0xb3, 0xf5, 0xc8, 0x8f, 0xb2, 0x1, 0x3c, 0x7b, 0x46},
{0x0, 0x2d, 0x5a, 0x77, 0xb4, 0x99, 0xee, 0xc3, 0x75, 0x58, 0x2f, 0x2, 0xc1, 0xec, 0x9b, 0xb6},
{0x0, 0x5d, 0xba, 0xe7, 0x69, 0x34, 0xd3, 0x8e, 0xd2, 0x8f, 0x68, 0x35, 0xbb, 0xe6, 0x1, 0x5c},
{0x0, 0x4d, 0x9a, 0xd7, 0x29, 0x64, 0xb3, 0xfe, 0x52, 0x1f, 0xc8, 0x85, 0x7b, 0x36, 0xe1, 0xac},
{0x0, 0x7d, 0xfa, 0x87, 0xe9, 0x94, 0x13, 0x6e, 0xcf, 0xb2, 0x35, 0x48, 0x26, 0x5b, 0xdc, 0xa1},
{0x0, 0x6d, 0xda, 0xb7, 0xa9, 0xc4, 0x73, 0x1e, 0x4f, 0x22, 0x95, 0xf8, 0xe6, 0x8b, 0x3c, 0x51},
{0x0, 0x9d, 0x27, 0xba, 0x4e, 0xd3, 0x69, 0xf4, 0x9c, 0x1, 0xbb, 0x26, 0xd2, 0x4f, 0xf5, 0x68},
{0x0, 0x8d, 0x7, 0x8a, 0xe, 0x83, 0x9, 0x84, 0x1c, 0x91, 0x1b, 0x96, 0x12, 0x9f, 0x15, 0x98},
{0x0, 0xbd, 0x67, 0xda, 0xce, 0x73, 0xa9, 0x14, 0x81, 0x3c, 0xe6, 0x5b, 0x4f, 0xf2, 0x28, 0x95},
{0x0, 0xad, 0x47, 0xea, 0x8e, 0x23, 0xc9, 0x64, 0x1, 0xac, 0x46, 0xeb, 0x8f, 0x22, 0xc8, 0x65},
{0x0, 0xdd, 0xa7, 0x7a, 0x53, 0x8e, 0xf4, 0x29, 0xa6, 0x7b, 0x1, 0xdc, 0xf5, 0x28, 0x52, 0x8f},
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{0x0, 0xf5, 0xf7, 0x2, 0xf3, 0x6, 0x4, 0xf1, 0xfb, 0xe, 0xc, 0xf9, 0x8, 0xfd, 0xff, 0xa},
{0x0, 0xe5, 0xd7, 0x32, 0xb3, 0x56, 0x64, 0x81, 0x7b, 0x9e, 0xac, 0x49, 0xc8, 0x2d, 0x1f, 0xfa},
{0x0, 0xd5, 0xb7, 0x62, 0x73, 0xa6, 0xc4, 0x11, 0xe6, 0x33, 0x51, 0x84, 0x95, 0x40, 0x22, 0xf7},
{0x0, 0xc5, 0x97, 0x52, 0x33, 0xf6, 0xa4, 0x61, 0x66, 0xa3, 0xf1, 0x34, 0x55, 0x90, 0xc2, 0x7},
{0x0, 0xb5, 0x77, 0xc2, 0xee, 0x5b, 0x99, 0x2c, 0xc1, 0x74, 0xb6, 0x3, 0x2f, 0x9a, 0x58, 0xed},
{0x0, 0xa5, 0x57, 0xf2, 0xae, 0xb, 0xf9, 0x5c, 0x41, 0xe4, 0x16, 0xb3, 0xef, 0x4a, 0xb8, 0x1d},
{0x0, 0x95, 0x37, 0xa2, 0x6e, 0xfb, 0x59, 0xcc, 0xdc, 0x49, 0xeb, 0x7e, 0xb2, 0x27, 0x85, 0x10},
{0x0, 0x85, 0x17, 0x92, 0x2e, 0xab, 0x39, 0xbc, 0x5c, 0xd9, 0x4b, 0xce, 0x72, 0xf7, 0x65, 0xe0},
{0x0, 0x75, 0xea, 0x9f, 0xc9, 0xbc, 0x23, 0x56, 0x8f, 0xfa, 0x65, 0x10, 0x46, 0x33, 0xac, 0xd9},
{0x0, 0x65, 0xca, 0xaf, 0x89, 0xec, 0x43, 0x26, 0xf, 0x6a, 0xc5, 0xa0, 0x86, 0xe3, 0x4c, 0x29},
{0x0, 0x55, 0xaa, 0xff, 0x49, 0x1c, 0xe3, 0xb6, 0x92, 0xc7, 0x38, 0x6d, 0xdb, 0x8e, 0x71, 0x24},
{0x0, 0x45, 0x8a, 0xcf, 0x9, 0x4c, 0x83, 0xc6, 0x12, 0x57, 0x98, 0xdd, 0x1b, 0x5e, 0x91, 0xd4},
{0x0, 0x35, 0x6a, 0x5f, 0xd4, 0xe1, 0xbe, 0x8b, 0xb5, 0x80, 0xdf, 0xea, 0x61, 0x54, 0xb, 0x3e},
{0x0, 0x25, 0x4a, 0x6f, 0x94, 0xb1, 0xde, 0xfb, 0x35, 0x10, 0x7f, 0x5a, 0xa1, 0x84, 0xeb, 0xce},
{0x0, 0x15, 0x2a, 0x3f, 0x54, 0x41, 0x7e, 0x6b, 0xa8, 0xbd, 0x82, 0x97, 0xfc, 0xe9, 0xd6, 0xc3},
{0x0, 0x5, 0xa, 0xf, 0x14, 0x11, 0x1e, 0x1b, 0x28, 0x2d, 0x22, 0x27, 0x3c, 0x39, 0x36, 0x33},
{0x0, 0xd2, 0xb9, 0x6b, 0x6f, 0xbd, 0xd6, 0x4, 0xde, 0xc, 0x67, 0xb5, 0xb1, 0x63, 0x8, 0xda},
{0x0, 0xc2, 0x99, 0x5b, 0x2f, 0xed, 0xb6, 0x74, 0x5e, 0x9c, 0xc7, 0x5, 0x71, 0xb3, 0xe8, 0x2a},
{0x0, 0xf2, 0xf9, 0xb, 0xef, 0x1d, 0x16, 0xe4, 0xc3, 0x31, 0x3a, 0xc8, 0x2c, 0xde, 0xd5, 0x27},
{0x0, 0xe2, 0xd9, 0x3b, 0xaf, 0x4d, 0x76, 0x94, 0x43, 0xa1, 0x9a, 0x78, 0xec, 0xe, 0x35, 0xd7},
{0x0, 0x92, 0x39, 0xab, 0x72, 0xe0, 0x4b, 0xd9, 0xe4, 0x76, 0xdd, 0x4f, 0x96, 0x4, 0xaf, 0x3d},
{0x0, 0x82, 0x19, 0x9b, 0x32, 0xb0, 0x2b, 0xa9, 0x64, 0xe6, 0x7d, 0xff, 0x56, 0xd4, 0x4f, 0xcd},
{0x0, 0xb2, 0x79, 0xcb, 0xf2, 0x40, 0x8b, 0x39, 0xf9, 0x4b, 0x80, 0x32, 0xb, 0xb9, 0x72, 0xc0},
{0x0, 0xa2, 0x59, 0xfb, 0xb2, 0x10, 0xeb, 0x49, 0x79, 0xdb, 0x20, 0x82, 0xcb, 0x69, 0x92, 0x30},
{0x0, 0x52, 0xa4, 0xf6, 0x55, 0x7, 0xf1, 0xa3, 0xaa, 0xf8, 0xe, 0x5c, 0xff, 0xad, 0x5b, 0x9},
{0x0, 0x42, 0x84, 0xc6, 0x15, 0x57, 0x91, 0xd3, 0x2a, 0x68, 0xae, 0xec, 0x3f, 0x7d, 0xbb, 0xf9},
{0x0, 0x72, 0xe4, 0x96, 0xd5, 0xa7, 0x31, 0x43, 0xb7, 0xc5, 0x53, 0x21, 0x62, 0x10, 0x86, 0xf4},
{0x0, 0x62, 0xc4, 0xa6, 0x95, 0xf7, 0x51, 0x33, 0x37, 0x55, 0xf3, 0x91, 0xa2, 0xc0, 0x66, 0x4},
{0x0, 0x12, 0x24, 0x36, 0x48, 0x5a, 0x6c, 0x7e, 0x90, 0x82, 0xb4, 0xa6, 0xd8, 0xca, 0xfc, 0xee},
{0x0, 0x2, 0x4, 0x6, 0x8, 0xa, 0xc, 0xe, 0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e},
{0x0, 0x32, 0x64, 0x56, 0xc8, 0xfa, 0xac, 0x9e, 0x8d, 0xbf, 0xe9, 0xdb, 0x45, 0x77, 0x21, 0x13},
{0x0, 0x22, 0x44, 0x66, 0x88, 0xaa, 0xcc, 0xee, 0xd, 0x2f, 0x49, 0x6b, 0x85, 0xa7, 0xc1, 0xe3},
{0x0, 0xcf, 0x83, 0x4c, 0x1b, 0xd4, 0x98, 0x57, 0x36, 0xf9, 0xb5, 0x7a, 0x2d, 0xe2, 0xae, 0x61},
{0x0, 0xdf, 0xa3, 0x7c, 0x5b, 0x84, 0xf8, 0x27, 0xb6, 0x69, 0x15, 0xca, 0xed, 0x32, 0x4e, 0x91},
{0x0, 0xef, 0xc3, 0x2c, 0x9b, 0x74, 0x58, 0xb7, 0x2b, 0xc4, 0xe8, 0x7, 0xb0, 0x5f, 0x73, 0x9c},
{0x0, 0xff, 0xe3, 0x1c, 0xdb, 0x24, 0x38, 0xc7, 0xab, 0x54, 0x48, 0xb7, 0x70, 0x8f, 0x93, 0x6c},
{0x0, 0x8f, 0x3, 0x8c, 0x6, 0x89, 0x5, 0x8a, 0xc, 0x83, 0xf, 0x80, 0xa, 0x85, 0x9, 0x86},
{0x0, 0x9f, 0x23, 0xbc, 0x46, 0xd9, 0x65, 0xfa, 0x8c, 0x13, 0xaf, 0x30, 0xca, 0x55, 0xe9, 0x76},
{0x0, 0xaf, 0x43, 0xec, 0x86, 0x29, 0xc5, 0x6a, 0x11, 0xbe, 0x52, 0xfd, 0x97, 0x38, 0xd4, 0x7b},
{0x0, 0xbf, 0x63, 0xdc, 0xc6, 0x79, 0xa5, 0x1a, 0x91, 0x2e, 0xf2, 0x4d, 0x57, 0xe8, 0x34, 0x8b},
{0x0, 0x4f, 0x9e, 0xd1, 0x21, 0x6e, 0xbf, 0xf0, 0x42, 0xd, 0xdc, 0x93, 0x63, 0x2c, 0xfd, 0xb2},
{0x0, 0x5f, 0xbe, 0xe1, 0x61, 0x3e, 0xdf, 0x80, 0xc2, 0x9d, 0x7c, 0x23, 0xa3, 0xfc, 0x1d, 0x42},
{0x0, 0x6f, 0xde, 0xb1, 0xa1, 0xce, 0x7f, 0x10, 0x5f, 0x30, 0x81, 0xee, 0xfe, 0x91, 0x20, 0x4f},
{0x0, 0x7f, 0xfe, 0x81, 0xe1, 0x9e, 0x1f, 0x60, 0xdf, 0xa0, 0x21, 0x5e, 0x3e, 0x41, 0xc0, 0xbf},
{0x0, 0xf, 0x1e, 0x11, 0x3c, 0x33, 0x22, 0x2d, 0x78, 0x77, 0x66, 0x69, 0x44, 0x4b, 0x5a, 0x55},
{0x0, 0x1f, 0x3e, 0x21, 0x7c, 0x63, 0x42, 0x5d, 0xf8, 0xe7, 0xc6, 0xd9, 0x84, 0x9b, 0xba, 0xa5},
{0x0, 0x2f, 0x5e, 0x71, 0xbc, 0x93, 0xe2, 0xcd, 0x65, 0x4a, 0x3b, 0x14, 0xd9, 0xf6, 0x87, 0xa8},
{0x0, 0x3f, 0x7e, 0x41, 0xfc, 0xc3, 0x82, 0xbd, 0xe5, 0xda, 0x9b, 0xa4, 0x19, 0x26, 0x67, 0x58},
{0x0, 0x9c, 0x25, 0xb9, 0x4a, 0xd6, 0x6f, 0xf3, 0x94, 0x8, 0xb1, 0x2d, 0xde, 0x42, 0xfb, 0x67},
{0x0, 0x8c, 0x5, 0x89, 0xa, 0x86, 0xf, 0x83, 0x14, 0x98, 0x11, 0x9d, 0x1e, 0x92, 0x1b, 0x97},
{0x0, 0xbc, 0x65, 0xd9, 0xca, 0x76, 0xaf, 0x13, 0x89, 0x35, 0xec, 0x50, 0x43, 0xff, 0x26, 0x9a},
{0x0, 0xac, 0x45, 0xe9, 0x8a, 0x26, 0xcf, 0x63, 0x9, 0xa5, 0x4c, 0xe0, 0x83, 0x2f, 0xc6, 0x6a},
{0x0, 0xdc, 0xa5, 0x79, 0x57, 0x8b, 0xf2, 0x2e, 0xae, 0x72, 0xb, 0xd7, 0xf9, 0x25, 0x5c, 0x80},
{0x0, 0xcc, 0x85, 0x49, 0x17, 0xdb, 0x92, 0x5e, 0x2e, 0xe2, 0xab, 0x67, 0x39, 0xf5, 0xbc, 0x70},
{0x0, 0xfc, 0xe5, 0x19, 0xd7, 0x2b, 0x32, 0xce, 0xb3, 0x4f, 0x56, 0xaa, 0x64, 0x98, 0x81, 0x7d},
{0x0, 0xec, 0xc5, 0x29, 0x97, 0x7b, 0x52, 0xbe, 0x33, 0xdf, 0xf6, 0x1a, 0xa4, 0x48, 0x61, 0x8d},
{0x0, 0x1c, 0x38, 0x24, 0x70, 0x6c, 0x48, 0x54, 0xe0, 0xfc, 0xd8, 0xc4, 0x90, 0x8c, 0xa8, 0xb4},
{0x0, 0xc, 0x18, 0x14, 0x30, 0x3c, 0x28, 0x24, 0x60, 0x6c, 0x78, 0x74, 0x50, 0x5c, 0x48, 0x44},
{0x0, 0x3c, 0x78, 0x44, 0xf0, 0xcc, 0x88, 0xb4, 0xfd, 0xc1, 0x85, 0xb9, 0xd, 0x31, 0x75, 0x49},
{0x0, 0x2c, 0x58, 0x74, 0xb0, 0x9c, 0xe8, 0xc4, 0x7d, 0x51, 0x25, 0x9, 0xcd, 0xe1, 0x95, 0xb9},
{0x0, 0x5c, 0xb8, 0xe4, 0x6d, 0x31, 0xd5, 0x89, 0xda, 0x86, 0x62, 0x3e, 0xb7, 0xeb, 0xf, 0x53},
{0x0, 0x4c, 0x98, 0xd4, 0x2d, 0x61, 0xb5, 0xf9, 0x5a, 0x16, 0xc2, 0x8e, 0x77, 0x3b, 0xef, 0xa3},
{0x0, 0x7c, 0xf8, 0x84, 0xed, 0x91, 0x15, 0x69, 0xc7, 0xbb, 0x3f, 0x43, 0x2a, 0x56, 0xd2, 0xae},
{0x0, 0x6c, 0xd8, 0xb4, 0xad, 0xc1, 0x75, 0x19, 0x47, 0x2b, 0x9f, 0xf3, 0xea, 0x86, 0x32, 0x5e},
{0x0, 0x81, 0x1f, 0x9e, 0x3e, 0xbf, 0x21, 0xa0, 0x7c, 0xfd, 0x63, 0xe2, 0x42, 0xc3, 0x5d, 0xdc},
{0x0, 0x91, 0x3f, 0xae, 0x7e, 0xef, 0x41, 0xd0, 0xfc, 0x6d, 0xc3, 0x52, 0x82, 0x13, 0xbd, 0x2c},
{0x0, 0xa1, 0x5f, 0xfe, 0xbe, 0x1f, 0xe1, 0x40, 0x61, 0xc0, 0x3e, 0x9f, 0xdf, 0x7e, 0x80, 0x21},
{0x0, 0xb1, 0x7f, 0xce, 0xfe, 0x4f, 0x81, 0x30, 0xe1, 0x50, 0x9e, 0x2f, 0x1f, 0xae, 0x60, 0xd1},
{0x0, 0xc1, 0x9f, 0x5e, 0x23, 0xe2, 0xbc, 0x7d, 0x46, 0x87, 0xd9, 0x18, 0x65, 0xa4, 0xfa, 0x3b},
{0x0, 0xd1, 0xbf, 0x6e, 0x63, 0xb2, 0xdc, 0xd, 0xc6, 0x17, 0x79, 0xa8, 0xa5, 0x74, 0x1a, 0xcb},
{0x0, 0xe1, 0xdf, 0x3e, 0xa3, 0x42, 0x7c, 0x9d, 0x5b, 0xba, 0x84, 0x65, 0xf8, 0x19, 0x27, 0xc6},
{0x0, 0xf1, 0xff, 0xe, 0xe3, 0x12, 0x1c, 0xed, 0xdb, 0x2a, 0x24, 0xd5, 0x38, 0xc9, 0xc7, 0x36},
{0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xe, 0xf},
{0x0, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff},
{0x0, 0x21, 0x42, 0x63, 0x84, 0xa5, 0xc6, 0xe7, 0x15, 0x34, 0x57, 0x76, 0x91, 0xb0, 0xd3, 0xf2},
{0x0, 0x31, 0x62, 0x53, 0xc4, 0xf5, 0xa6, 0x97, 0x95, 0xa4, 0xf7, 0xc6, 0x51, 0x60, 0x33, 0x2},
{0x0, 0x41, 0x82, 0xc3, 0x19, 0x58, 0x9b, 0xda, 0x32, 0x73, 0xb0, 0xf1, 0x2b, 0x6a, 0xa9, 0xe8},
{0x0, 0x51, 0xa2, 0xf3, 0x59, 0x8, 0xfb, 0xaa, 0xb2, 0xe3, 0x10, 0x41, 0xeb, 0xba, 0x49, 0x18},
{0x0, 0x61, 0xc2, 0xa3, 0x99, 0xf8, 0x5b, 0x3a, 0x2f, 0x4e, 0xed, 0x8c, 0xb6, 0xd7, 0x74, 0x15},
{0x0, 0x71, 0xe2, 0x93, 0xd9, 0xa8, 0x3b, 0x4a, 0xaf, 0xde, 0x4d, 0x3c, 0x76, 0x7, 0x94, 0xe5},
{0x0, 0xa6, 0x51, 0xf7, 0xa2, 0x4, 0xf3, 0x55, 0x59, 0xff, 0x8, 0xae, 0xfb, 0x5d, 0xaa, 0xc},
{0x0, 0xb6, 0x71, 0xc7, 0xe2, 0x54, 0x93, 0x25, 0xd9, 0x6f, 0xa8, 0x1e, 0x3b, 0x8d, 0x4a, 0xfc},
{0x0, 0x86, 0x11, 0x97, 0x22, 0xa4, 0x33, 0xb5, 0x44, 0xc2, 0x55, 0xd3, 0x66, 0xe0, 0x77, 0xf1},
{0x0, 0x96, 0x31, 0xa7, 0x62, 0xf4, 0x53, 0xc5, 0xc4, 0x52, 0xf5, 0x63, 0xa6, 0x30, 0x97, 0x1},
{0x0, 0xe6, 0xd1, 0x37, 0xbf, 0x59, 0x6e, 0x88, 0x63, 0x85, 0xb2, 0x54, 0xdc, 0x3a, 0xd, 0xeb},
{0x0, 0xf6, 0xf1, 0x7, 0xff, 0x9, 0xe, 0xf8, 0xe3, 0x15, 0x12, 0xe4, 0x1c, 0xea, 0xed, 0x1b},
{0x0, 0xc6, 0x91, 0x57, 0x3f, 0xf9, 0xae, 0x68, 0x7e, 0xb8, 0xef, 0x29, 0x41, 0x87, 0xd0, 0x16},
{0x0, 0xd6, 0xb1, 0x67, 0x7f, 0xa9, 0xce, 0x18, 0xfe, 0x28, 0x4f, 0x99, 0x81, 0x57, 0x30, 0xe6},
{0x0, 0x26, 0x4c, 0x6a, 0x98, 0xbe, 0xd4, 0xf2, 0x2d, 0xb, 0x61, 0x47, 0xb5, 0x93, 0xf9, 0xdf},
{0x0, 0x36, 0x6c, 0x5a, 0xd8, 0xee, 0xb4, 0x82, 0xad, 0x9b, 0xc1, 0xf7, 0x75, 0x43, 0x19, 0x2f},
{0x0, 0x6, 0xc, 0xa, 0x18, 0x1e, 0x14, 0x12, 0x30, 0x36, 0x3c, 0x3a, 0x28, 0x2e, 0x24, 0x22},
{0x0, 0x16, 0x2c, 0x3a, 0x58, 0x4e, 0x74, 0x62, 0xb0, 0xa6, 0x9c, 0x8a, 0xe8, 0xfe, 0xc4, 0xd2},
{0x0, 0x66, 0xcc, 0xaa, 0x85, 0xe3, 0x49, 0x2f, 0x17, 0x71, 0xdb, 0xbd, 0x92, 0xf4, 0x5e, 0x38},
{0x0, 0x76, 0xec, 0x9a, 0xc5, 0xb3, 0x29, 0x5f, 0x97, 0xe1, 0x7b, 0xd, 0x52, 0x24, 0xbe, 0xc8},
{0x0, 0x46, 0x8c, 0xca, 0x5, 0x43, 0x89, 0xcf, 0xa, 0x4c, 0x86, 0xc0, 0xf, 0x49, 0x83, 0xc5},
{0x0, 0x56, 0xac, 0xfa, 0x45, 0x13, 0xe9, 0xbf, 0x8a, 0xdc, 0x26, 0x70, 0xcf, 0x99, 0x63, 0x35},
{0x0, 0xbb, 0x6b, 0xd0, 0xd6, 0x6d, 0xbd, 0x6, 0xb1, 0xa, 0xda, 0x61, 0x67, 0xdc, 0xc, 0xb7},
{0x0, 0xab, 0x4b, 0xe0, 0x96, 0x3d, 0xdd, 0x76, 0x31, 0x9a, 0x7a, 0xd1, 0xa7, 0xc, 0xec, 0x47},
{0x0, 0x9b, 0x2b, 0xb0, 0x56, 0xcd, 0x7d, 0xe6, 0xac, 0x37, 0x87, 0x1c, 0xfa, 0x61, 0xd1, 0x4a},
{0x0, 0x8b, 0xb, 0x80, 0x16, 0x9d, 0x1d, 0x96, 0x2c, 0xa7, 0x27, 0xac, 0x3a, 0xb1, 0x31, 0xba},
{0x0, 0xfb, 0xeb, 0x10, 0xcb, 0x30, 0x20, 0xdb, 0x8b, 0x70, 0x60, 0x9b, 0x40, 0xbb, 0xab, 0x50},
{0x0, 0xeb, 0xcb, 0x20, 0x8b, 0x60, 0x40, 0xab, 0xb, 0xe0, 0xc0, 0x2b, 0x80, 0x6b, 0x4b, 0xa0},
{0x0, 0xdb, 0xab, 0x70, 0x4b, 0x90, 0xe0, 0x3b, 0x96, 0x4d, 0x3d, 0xe6, 0xdd, 0x6, 0x76, 0xad},
{0x0, 0xcb, 0x8b, 0x40, 0xb, 0xc0, 0x80, 0x4b, 0x16, 0xdd, 0x9d, 0x56, 0x1d, 0xd6, 0x96, 0x5d},
{0x0, 0x3b, 0x76, 0x4d, 0xec, 0xd7, 0x9a, 0xa1, 0xc5, 0xfe, 0xb3, 0x88, 0x29, 0x12, 0x5f, 0x64},
{0x0, 0x2b, 0x56, 0x7d, 0xac, 0x87, 0xfa, 0xd1, 0x45, 0x6e, 0x13, 0x38, 0xe9, 0xc2, 0xbf, 0x94},
{0x0, 0x1b, 0x36, 0x2d, 0x6c, 0x77, 0x5a, 0x41, 0xd8, 0xc3, 0xee, 0xf5, 0xb4, 0xaf, 0x82, 0x99},
{0x0, 0xb, 0x16, 0x1d, 0x2c, 0x27, 0x3a, 0x31, 0x58, 0x53, 0x4e, 0x45, 0x74, 0x7f, 0x62, 0x69},
{0x0, 0x7b, 0xf6, 0x8d, 0xf1, 0x8a, 0x7, 0x7c, 0xff, 0x84, 0x9, 0x72, 0xe, 0x75, 0xf8, 0x83},
{0x0, 0x6b, 0xd6, 0xbd, 0xb1, 0xda, 0x67, 0xc, 0x7f, 0x14, 0xa9, 0xc2, 0xce, 0xa5, 0x18, 0x73},
{0x0, 0x5b, 0xb6, 0xed, 0x71, 0x2a, 0xc7, 0x9c, 0xe2, 0xb9, 0x54, 0xf, 0x93, 0xc8, 0x25, 0x7e},
{0x0, 0x4b, 0x96, 0xdd, 0x31, 0x7a, 0xa7, 0xec, 0x62, 0x29, 0xf4, 0xbf, 0x53, 0x18, 0xc5, 0x8e}}
// galMultiply multiplies to elements of the field.
// Uses lookup table ~40% faster
func galMultiply(a, b byte) byte {
return mulTable[a][b]
}
// amd64 indicates whether we are on an amd64 platform.
var amd64 bool
// Original function:
/*
// galMultiply multiplies to elements of the field.
func galMultiply(a, b byte) byte {
if a == 0 || b == 0 {
return 0
}
logA := int(logTable[a])
logB := int(logTable[b])
return expTable[logA+logB]
}
*/
// galDivide is inverse of galMultiply.
func galDivide(a, b byte) byte {
if a == 0 {
return 0
}
if b == 0 {
panic("Argument 'divisor' is 0")
}
logA := int(logTable[a])
logB := int(logTable[b])
logResult := logA - logB
if logResult < 0 {
logResult += 255
}
return expTable[logResult]
}
// Computes a**n.
//
// The result will be the same as multiplying a times itself n times.
func galExp(a byte, n int) byte {
if n == 0 {
return 1
}
if a == 0 {
return 0
}
logA := logTable[a]
logResult := int(logA) * n
for logResult >= 255 {
logResult -= 255
}
return expTable[logResult]
}

188
vendor/github.com/klauspost/reedsolomon/galoisAvx512_amd64.go generated vendored Normal file
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//+build !noasm
//+build !appengine
//+build !gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
// Copyright 2019, Minio, Inc.
package reedsolomon
//go:noescape
func _galMulAVX512Parallel82(in, out [][]byte, matrix *[matrixSize82]byte, addTo bool)
//go:noescape
func _galMulAVX512Parallel84(in, out [][]byte, matrix *[matrixSize84]byte, addTo bool)
func init() {
amd64 = true
}
const (
dimIn = 8 // Number of input rows processed simultaneously
dimOut82 = 2 // Number of output rows processed simultaneously for x2 routine
dimOut84 = 4 // Number of output rows processed simultaneously for x4 routine
matrixSize82 = (16 + 16) * dimIn * dimOut82 // Dimension of slice of matrix coefficient passed into x2 routine
matrixSize84 = (16 + 16) * dimIn * dimOut84 // Dimension of slice of matrix coefficient passed into x4 routine
)
// Construct block of matrix coefficients for 2 outputs rows in parallel
func setupMatrix82(matrixRows [][]byte, inputOffset, outputOffset int, matrix *[matrixSize82]byte) {
offset := 0
for c := inputOffset; c < inputOffset+dimIn; c++ {
for iRow := outputOffset; iRow < outputOffset+dimOut82; iRow++ {
if c < len(matrixRows[iRow]) {
coeff := matrixRows[iRow][c]
copy(matrix[offset*32:], mulTableLow[coeff][:])
copy(matrix[offset*32+16:], mulTableHigh[coeff][:])
} else {
// coefficients not used for this input shard (so null out)
v := matrix[offset*32 : offset*32+32]
for i := range v {
v[i] = 0
}
}
offset += dimIn
if offset >= dimIn*dimOut82 {
offset -= dimIn*dimOut82 - 1
}
}
}
}
// Construct block of matrix coefficients for 4 outputs rows in parallel
func setupMatrix84(matrixRows [][]byte, inputOffset, outputOffset int, matrix *[matrixSize84]byte) {
offset := 0
for c := inputOffset; c < inputOffset+dimIn; c++ {
for iRow := outputOffset; iRow < outputOffset+dimOut84; iRow++ {
if c < len(matrixRows[iRow]) {
coeff := matrixRows[iRow][c]
copy(matrix[offset*32:], mulTableLow[coeff][:])
copy(matrix[offset*32+16:], mulTableHigh[coeff][:])
} else {
// coefficients not used for this input shard (so null out)
v := matrix[offset*32 : offset*32+32]
for i := range v {
v[i] = 0
}
}
offset += dimIn
if offset >= dimIn*dimOut84 {
offset -= dimIn*dimOut84 - 1
}
}
}
}
// Invoke AVX512 routine for 2 output rows in parallel
func galMulAVX512Parallel82(in, out [][]byte, matrixRows [][]byte, inputOffset, outputOffset int) {
done := len(in[0])
if done == 0 {
return
}
inputEnd := inputOffset + dimIn
if inputEnd > len(in) {
inputEnd = len(in)
}
outputEnd := outputOffset + dimOut82
if outputEnd > len(out) {
outputEnd = len(out)
}
matrix82 := [matrixSize82]byte{}
setupMatrix82(matrixRows, inputOffset, outputOffset, &matrix82)
addTo := inputOffset != 0 // Except for the first input column, add to previous results
_galMulAVX512Parallel82(in[inputOffset:inputEnd], out[outputOffset:outputEnd], &matrix82, addTo)
done = (done >> 6) << 6
if len(in[0])-done == 0 {
return
}
for c := inputOffset; c < inputOffset+dimIn; c++ {
for iRow := outputOffset; iRow < outputOffset+dimOut82; iRow++ {
if c < len(matrixRows[iRow]) {
mt := mulTable[matrixRows[iRow][c]][:256]
for i := done; i < len(in[0]); i++ {
if c == 0 { // only set value for first input column
out[iRow][i] = mt[in[c][i]]
} else { // and add for all others
out[iRow][i] ^= mt[in[c][i]]
}
}
}
}
}
}
// Invoke AVX512 routine for 4 output rows in parallel
func galMulAVX512Parallel84(in, out [][]byte, matrixRows [][]byte, inputOffset, outputOffset int) {
done := len(in[0])
if done == 0 {
return
}
inputEnd := inputOffset + dimIn
if inputEnd > len(in) {
inputEnd = len(in)
}
outputEnd := outputOffset + dimOut84
if outputEnd > len(out) {
outputEnd = len(out)
}
matrix84 := [matrixSize84]byte{}
setupMatrix84(matrixRows, inputOffset, outputOffset, &matrix84)
addTo := inputOffset != 0 // Except for the first input column, add to previous results
_galMulAVX512Parallel84(in[inputOffset:inputEnd], out[outputOffset:outputEnd], &matrix84, addTo)
done = (done >> 6) << 6
if len(in[0])-done == 0 {
return
}
for c := inputOffset; c < inputOffset+dimIn; c++ {
for iRow := outputOffset; iRow < outputOffset+dimOut84; iRow++ {
if c < len(matrixRows[iRow]) {
mt := mulTable[matrixRows[iRow][c]][:256]
for i := done; i < len(in[0]); i++ {
if c == 0 { // only set value for first input column
out[iRow][i] = mt[in[c][i]]
} else { // and add for all others
out[iRow][i] ^= mt[in[c][i]]
}
}
}
}
}
}
// Perform the same as codeSomeShards, but taking advantage of
// AVX512 parallelism for up to 4x faster execution as compared to AVX2
func (r reedSolomon) codeSomeShardsAvx512(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) {
outputRow := 0
// First process (multiple) batches of 4 output rows in parallel
for ; outputRow+dimOut84 <= len(outputs); outputRow += dimOut84 {
for inputRow := 0; inputRow < len(inputs); inputRow += dimIn {
galMulAVX512Parallel84(inputs, outputs, matrixRows, inputRow, outputRow)
}
}
// Then process a (single) batch of 2 output rows in parallel
if outputRow+dimOut82 <= len(outputs) {
// fmt.Println(outputRow, len(outputs))
for inputRow := 0; inputRow < len(inputs); inputRow += dimIn {
galMulAVX512Parallel82(inputs, outputs, matrixRows, inputRow, outputRow)
}
outputRow += dimOut82
}
// Lastly, we may have a single output row left (for uneven parity)
if outputRow < len(outputs) {
for c := 0; c < r.DataShards; c++ {
if c == 0 {
galMulSlice(matrixRows[outputRow][c], inputs[c], outputs[outputRow], &r.o)
} else {
galMulSliceXor(matrixRows[outputRow][c], inputs[c], outputs[outputRow], &r.o)
}
}
}
}

590
vendor/github.com/klauspost/reedsolomon/galoisAvx512_amd64.s generated vendored Normal file
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//+build !noasm !appengine !gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
// Copyright 2019, Minio, Inc.
//
// Process 2 output rows in parallel from a total of 8 input rows
//
// func _galMulAVX512Parallel82(in, out [][]byte, matrix *[matrixSize82]byte, addTo bool)
TEXT ·_galMulAVX512Parallel82(SB), 7, $0
MOVQ in+0(FP), SI //
MOVQ 8(SI), R9 // R9: len(in)
SHRQ $6, R9 // len(in) / 64
TESTQ R9, R9
JZ done_avx512_parallel82
MOVQ matrix+48(FP), SI
LONG $0x48fee162; WORD $0x066f // VMOVDQU64 ZMM16, 0x000[rsi]
LONG $0x48fee162; WORD $0x4e6f; BYTE $0x01 // VMOVDQU64 ZMM17, 0x040[rsi]
LONG $0x48fee162; WORD $0x566f; BYTE $0x02 // VMOVDQU64 ZMM18, 0x080[rsi]
LONG $0x48fee162; WORD $0x5e6f; BYTE $0x03 // VMOVDQU64 ZMM19, 0x0c0[rsi]
LONG $0x48fee162; WORD $0x666f; BYTE $0x04 // VMOVDQU64 ZMM20, 0x100[rsi]
LONG $0x48fee162; WORD $0x6e6f; BYTE $0x05 // VMOVDQU64 ZMM21, 0x140[rsi]
LONG $0x48fee162; WORD $0x766f; BYTE $0x06 // VMOVDQU64 ZMM22, 0x180[rsi]
LONG $0x48fee162; WORD $0x7e6f; BYTE $0x07 // VMOVDQU64 ZMM23, 0x1c0[rsi]
MOVQ $15, BX
MOVQ BX, X5
LONG $0x487df262; WORD $0xd578 // VPBROADCASTB ZMM2, XMM5
MOVB addTo+56(FP), AX
LONG $0xffc0c749; WORD $0xffff; BYTE $0xff // mov r8, -1
WORD $0xf749; BYTE $0xe0 // mul r8
LONG $0x92fbe1c4; BYTE $0xc8 // kmovq k1, rax
MOVQ in+0(FP), SI // SI: &in
MOVQ in_len+8(FP), AX // number of inputs
XORQ R11, R11
MOVQ out+24(FP), DX
MOVQ 24(DX), CX // CX: &out[1][0]
MOVQ (DX), DX // DX: &out[0][0]
loopback_avx512_parallel82:
LONG $0xc9fef162; WORD $0x226f // VMOVDQU64 ZMM4{k1}{z}, [rdx]
LONG $0xc9fef162; WORD $0x296f // VMOVDQU64 ZMM5{k1}{z}, [rcx]
MOVQ (SI), BX // BX: &in[0][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40fd3362; WORD $0xf043; BYTE $0x00 // VSHUFI64x2 ZMM14, ZMM16, ZMM16, 0x00
LONG $0x40fd3362; WORD $0xf843; BYTE $0x55 // VSHUFI64x2 ZMM15, ZMM16, ZMM16, 0x55
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40dd3362; WORD $0xe443; BYTE $0x00 // VSHUFI64x2 ZMM12, ZMM20, ZMM20, 0x00
LONG $0x40dd3362; WORD $0xec43; BYTE $0x55 // VSHUFI64x2 ZMM13, ZMM20, ZMM20, 0x55
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
CMPQ AX, $1
JE skip_avx512_parallel82
MOVQ 24(SI), BX // BX: &in[1][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40fd3362; WORD $0xf043; BYTE $0xaa // VSHUFI64x2 ZMM14, ZMM16, ZMM16, 0xaa
LONG $0x40fd3362; WORD $0xf843; BYTE $0xff // VSHUFI64x2 ZMM15, ZMM16, ZMM16, 0xff
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40dd3362; WORD $0xe443; BYTE $0xaa // VSHUFI64x2 ZMM12, ZMM20, ZMM20, 0xaa
LONG $0x40dd3362; WORD $0xec43; BYTE $0xff // VSHUFI64x2 ZMM13, ZMM20, ZMM20, 0xff
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
CMPQ AX, $2
JE skip_avx512_parallel82
MOVQ 48(SI), BX // BX: &in[2][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40f53362; WORD $0xf143; BYTE $0x00 // VSHUFI64x2 ZMM14, ZMM17, ZMM17, 0x00
LONG $0x40f53362; WORD $0xf943; BYTE $0x55 // VSHUFI64x2 ZMM15, ZMM17, ZMM17, 0x55
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40d53362; WORD $0xe543; BYTE $0x00 // VSHUFI64x2 ZMM12, ZMM21, ZMM21, 0x00
LONG $0x40d53362; WORD $0xed43; BYTE $0x55 // VSHUFI64x2 ZMM13, ZMM21, ZMM21, 0x55
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
CMPQ AX, $3
JE skip_avx512_parallel82
MOVQ 72(SI), BX // BX: &in[3][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40f53362; WORD $0xf143; BYTE $0xaa // VSHUFI64x2 ZMM14, ZMM17, ZMM17, 0xaa
LONG $0x40f53362; WORD $0xf943; BYTE $0xff // VSHUFI64x2 ZMM15, ZMM17, ZMM17, 0xff
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40d53362; WORD $0xe543; BYTE $0xaa // VSHUFI64x2 ZMM12, ZMM21, ZMM21, 0xaa
LONG $0x40d53362; WORD $0xed43; BYTE $0xff // VSHUFI64x2 ZMM13, ZMM21, ZMM21, 0xff
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
CMPQ AX, $4
JE skip_avx512_parallel82
MOVQ 96(SI), BX // BX: &in[4][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40ed3362; WORD $0xf243; BYTE $0x00 // VSHUFI64x2 ZMM14, ZMM18, ZMM18, 0x00
LONG $0x40ed3362; WORD $0xfa43; BYTE $0x55 // VSHUFI64x2 ZMM15, ZMM18, ZMM18, 0x55
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40cd3362; WORD $0xe643; BYTE $0x00 // VSHUFI64x2 ZMM12, ZMM22, ZMM22, 0x00
LONG $0x40cd3362; WORD $0xee43; BYTE $0x55 // VSHUFI64x2 ZMM13, ZMM22, ZMM22, 0x55
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
CMPQ AX, $5
JE skip_avx512_parallel82
MOVQ 120(SI), BX // BX: &in[5][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40ed3362; WORD $0xf243; BYTE $0xaa // VSHUFI64x2 ZMM14, ZMM18, ZMM18, 0xaa
LONG $0x40ed3362; WORD $0xfa43; BYTE $0xff // VSHUFI64x2 ZMM15, ZMM18, ZMM18, 0xff
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40cd3362; WORD $0xe643; BYTE $0xaa // VSHUFI64x2 ZMM12, ZMM22, ZMM22, 0xaa
LONG $0x40cd3362; WORD $0xee43; BYTE $0xff // VSHUFI64x2 ZMM13, ZMM22, ZMM22, 0xff
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
CMPQ AX, $6
JE skip_avx512_parallel82
MOVQ 144(SI), BX // BX: &in[6][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40e53362; WORD $0xf343; BYTE $0x00 // VSHUFI64x2 ZMM14, ZMM19, ZMM19, 0x00
LONG $0x40e53362; WORD $0xfb43; BYTE $0x55 // VSHUFI64x2 ZMM15, ZMM19, ZMM19, 0x55
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40c53362; WORD $0xe743; BYTE $0x00 // VSHUFI64x2 ZMM12, ZMM23, ZMM23, 0x00
LONG $0x40c53362; WORD $0xef43; BYTE $0x55 // VSHUFI64x2 ZMM13, ZMM23, ZMM23, 0x55
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
CMPQ AX, $7
JE skip_avx512_parallel82
MOVQ 168(SI), BX // BX: &in[7][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40e53362; WORD $0xf343; BYTE $0xaa // VSHUFI64x2 ZMM14, ZMM19, ZMM19, 0xaa
LONG $0x40e53362; WORD $0xfb43; BYTE $0xff // VSHUFI64x2 ZMM15, ZMM19, ZMM19, 0xff
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40c53362; WORD $0xe743; BYTE $0xaa // VSHUFI64x2 ZMM12, ZMM23, ZMM23, 0xaa
LONG $0x40c53362; WORD $0xef43; BYTE $0xff // VSHUFI64x2 ZMM13, ZMM23, ZMM23, 0xff
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
skip_avx512_parallel82:
LONG $0x48fef162; WORD $0x227f // VMOVDQU64 [rdx], ZMM4
LONG $0x48fef162; WORD $0x297f // VMOVDQU64 [rcx], ZMM5
ADDQ $64, R11 // in4+=64
ADDQ $64, DX // out+=64
ADDQ $64, CX // out2+=64
SUBQ $1, R9
JNZ loopback_avx512_parallel82
done_avx512_parallel82:
VZEROUPPER
RET
//
// Process 4 output rows in parallel from a total of 8 input rows
//
// func _galMulAVX512Parallel84(in, out [][]byte, matrix *[matrixSize84]byte, addTo bool)
TEXT ·_galMulAVX512Parallel84(SB), 7, $0
MOVQ in+0(FP), SI //
MOVQ 8(SI), R9 // R9: len(in)
SHRQ $6, R9 // len(in) / 64
TESTQ R9, R9
JZ done_avx512_parallel84
MOVQ matrix+48(FP), SI
LONG $0x48fee162; WORD $0x066f // VMOVDQU64 ZMM16, 0x000[rsi]
LONG $0x48fee162; WORD $0x4e6f; BYTE $0x01 // VMOVDQU64 ZMM17, 0x040[rsi]
LONG $0x48fee162; WORD $0x566f; BYTE $0x02 // VMOVDQU64 ZMM18, 0x080[rsi]
LONG $0x48fee162; WORD $0x5e6f; BYTE $0x03 // VMOVDQU64 ZMM19, 0x0c0[rsi]
LONG $0x48fee162; WORD $0x666f; BYTE $0x04 // VMOVDQU64 ZMM20, 0x100[rsi]
LONG $0x48fee162; WORD $0x6e6f; BYTE $0x05 // VMOVDQU64 ZMM21, 0x140[rsi]
LONG $0x48fee162; WORD $0x766f; BYTE $0x06 // VMOVDQU64 ZMM22, 0x180[rsi]
LONG $0x48fee162; WORD $0x7e6f; BYTE $0x07 // VMOVDQU64 ZMM23, 0x1c0[rsi]
LONG $0x48fe6162; WORD $0x466f; BYTE $0x08 // VMOVDQU64 ZMM24, 0x200[rsi]
LONG $0x48fe6162; WORD $0x4e6f; BYTE $0x09 // VMOVDQU64 ZMM25, 0x240[rsi]
LONG $0x48fe6162; WORD $0x566f; BYTE $0x0a // VMOVDQU64 ZMM26, 0x280[rsi]
LONG $0x48fe6162; WORD $0x5e6f; BYTE $0x0b // VMOVDQU64 ZMM27, 0x2c0[rsi]
LONG $0x48fe6162; WORD $0x666f; BYTE $0x0c // VMOVDQU64 ZMM28, 0x300[rsi]
LONG $0x48fe6162; WORD $0x6e6f; BYTE $0x0d // VMOVDQU64 ZMM29, 0x340[rsi]
LONG $0x48fe6162; WORD $0x766f; BYTE $0x0e // VMOVDQU64 ZMM30, 0x380[rsi]
LONG $0x48fe6162; WORD $0x7e6f; BYTE $0x0f // VMOVDQU64 ZMM31, 0x3c0[rsi]
MOVQ $15, BX
MOVQ BX, X5
LONG $0x487df262; WORD $0xd578 // VPBROADCASTB ZMM2, XMM5
MOVB addTo+56(FP), AX
LONG $0xffc0c749; WORD $0xffff; BYTE $0xff // mov r8, -1
WORD $0xf749; BYTE $0xe0 // mul r8
LONG $0x92fbe1c4; BYTE $0xc8 // kmovq k1, rax
MOVQ in+0(FP), SI // SI: &in
MOVQ in_len+8(FP), AX // number of inputs
XORQ R11, R11
MOVQ out+24(FP), DX
MOVQ 24(DX), CX // CX: &out[1][0]
MOVQ 48(DX), R10 // R10: &out[2][0]
MOVQ 72(DX), R12 // R12: &out[3][0]
MOVQ (DX), DX // DX: &out[0][0]
loopback_avx512_parallel84:
LONG $0xc9fef162; WORD $0x226f // VMOVDQU64 ZMM4{k1}{z}, [rdx]
LONG $0xc9fef162; WORD $0x296f // VMOVDQU64 ZMM5{k1}{z}, [rcx]
LONG $0xc9fed162; WORD $0x326f // VMOVDQU64 ZMM6{k1}{z}, [r10]
LONG $0xc9fed162; WORD $0x3c6f; BYTE $0x24 // VMOVDQU64 ZMM7{k1}{z}, [r12]
MOVQ (SI), BX // BX: &in[0][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40fd3362; WORD $0xf043; BYTE $0x00 // VSHUFI64x2 ZMM14, ZMM16, ZMM16, 0x00
LONG $0x40fd3362; WORD $0xf843; BYTE $0x55 // VSHUFI64x2 ZMM15, ZMM16, ZMM16, 0x55
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40dd3362; WORD $0xe443; BYTE $0x00 // VSHUFI64x2 ZMM12, ZMM20, ZMM20, 0x00
LONG $0x40dd3362; WORD $0xec43; BYTE $0x55 // VSHUFI64x2 ZMM13, ZMM20, ZMM20, 0x55
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
LONG $0x40bd1362; WORD $0xd043; BYTE $0x00 // VSHUFI64x2 ZMM10, ZMM24, ZMM24, 0x00
LONG $0x40bd1362; WORD $0xd843; BYTE $0x55 // VSHUFI64x2 ZMM11, ZMM24, ZMM24, 0x55
LONG $0x482d7262; WORD $0xd000 // VPSHUFB ZMM10, ZMM10, ZMM0 ; mul low part
LONG $0x48257262; WORD $0xd900 // VPSHUFB ZMM11, ZMM11, ZMM1 ; mul high part
LONG $0x48ad5162; WORD $0xd3ef // VPXORQ ZMM10, ZMM10, ZMM11 ; result
LONG $0x48cdd162; WORD $0xf2ef // VPXORQ ZMM6, ZMM6, ZMM10
LONG $0x409d1362; WORD $0xc443; BYTE $0x00 // VSHUFI64x2 ZMM8, ZMM28, ZMM28, 0x00
LONG $0x409d1362; WORD $0xcc43; BYTE $0x55 // VSHUFI64x2 ZMM9, ZMM28, ZMM28, 0x55
LONG $0x483d7262; WORD $0xc000 // VPSHUFB ZMM8, ZMM8, ZMM0 ; mul low part
LONG $0x48357262; WORD $0xc900 // VPSHUFB ZMM9, ZMM9, ZMM1 ; mul high part
LONG $0x48bd5162; WORD $0xc1ef // VPXORQ ZMM8, ZMM8, ZMM9 ; result
LONG $0x48c5d162; WORD $0xf8ef // VPXORQ ZMM7, ZMM7, ZMM8
CMPQ AX, $1
JE skip_avx512_parallel84
MOVQ 24(SI), BX // BX: &in[1][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40fd3362; WORD $0xf043; BYTE $0xaa // VSHUFI64x2 ZMM14, ZMM16, ZMM16, 0xaa
LONG $0x40fd3362; WORD $0xf843; BYTE $0xff // VSHUFI64x2 ZMM15, ZMM16, ZMM16, 0xff
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40dd3362; WORD $0xe443; BYTE $0xaa // VSHUFI64x2 ZMM12, ZMM20, ZMM20, 0xaa
LONG $0x40dd3362; WORD $0xec43; BYTE $0xff // VSHUFI64x2 ZMM13, ZMM20, ZMM20, 0xff
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
LONG $0x40bd1362; WORD $0xd043; BYTE $0xaa // VSHUFI64x2 ZMM10, ZMM24, ZMM24, 0xaa
LONG $0x40bd1362; WORD $0xd843; BYTE $0xff // VSHUFI64x2 ZMM11, ZMM24, ZMM24, 0xff
LONG $0x482d7262; WORD $0xd000 // VPSHUFB ZMM10, ZMM10, ZMM0 ; mul low part
LONG $0x48257262; WORD $0xd900 // VPSHUFB ZMM11, ZMM11, ZMM1 ; mul high part
LONG $0x48ad5162; WORD $0xd3ef // VPXORQ ZMM10, ZMM10, ZMM11 ; result
LONG $0x48cdd162; WORD $0xf2ef // VPXORQ ZMM6, ZMM6, ZMM10
LONG $0x409d1362; WORD $0xc443; BYTE $0xaa // VSHUFI64x2 ZMM8, ZMM28, ZMM28, 0xaa
LONG $0x409d1362; WORD $0xcc43; BYTE $0xff // VSHUFI64x2 ZMM9, ZMM28, ZMM28, 0xff
LONG $0x483d7262; WORD $0xc000 // VPSHUFB ZMM8, ZMM8, ZMM0 ; mul low part
LONG $0x48357262; WORD $0xc900 // VPSHUFB ZMM9, ZMM9, ZMM1 ; mul high part
LONG $0x48bd5162; WORD $0xc1ef // VPXORQ ZMM8, ZMM8, ZMM9 ; result
LONG $0x48c5d162; WORD $0xf8ef // VPXORQ ZMM7, ZMM7, ZMM8
CMPQ AX, $2
JE skip_avx512_parallel84
MOVQ 48(SI), BX // BX: &in[2][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40f53362; WORD $0xf143; BYTE $0x00 // VSHUFI64x2 ZMM14, ZMM17, ZMM17, 0x00
LONG $0x40f53362; WORD $0xf943; BYTE $0x55 // VSHUFI64x2 ZMM15, ZMM17, ZMM17, 0x55
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40d53362; WORD $0xe543; BYTE $0x00 // VSHUFI64x2 ZMM12, ZMM21, ZMM21, 0x00
LONG $0x40d53362; WORD $0xed43; BYTE $0x55 // VSHUFI64x2 ZMM13, ZMM21, ZMM21, 0x55
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
LONG $0x40b51362; WORD $0xd143; BYTE $0x00 // VSHUFI64x2 ZMM10, ZMM25, ZMM25, 0x00
LONG $0x40b51362; WORD $0xd943; BYTE $0x55 // VSHUFI64x2 ZMM11, ZMM25, ZMM25, 0x55
LONG $0x482d7262; WORD $0xd000 // VPSHUFB ZMM10, ZMM10, ZMM0 ; mul low part
LONG $0x48257262; WORD $0xd900 // VPSHUFB ZMM11, ZMM11, ZMM1 ; mul high part
LONG $0x48ad5162; WORD $0xd3ef // VPXORQ ZMM10, ZMM10, ZMM11 ; result
LONG $0x48cdd162; WORD $0xf2ef // VPXORQ ZMM6, ZMM6, ZMM10
LONG $0x40951362; WORD $0xc543; BYTE $0x00 // VSHUFI64x2 ZMM8, ZMM29, ZMM29, 0x00
LONG $0x40951362; WORD $0xcd43; BYTE $0x55 // VSHUFI64x2 ZMM9, ZMM29, ZMM29, 0x55
LONG $0x483d7262; WORD $0xc000 // VPSHUFB ZMM8, ZMM8, ZMM0 ; mul low part
LONG $0x48357262; WORD $0xc900 // VPSHUFB ZMM9, ZMM9, ZMM1 ; mul high part
LONG $0x48bd5162; WORD $0xc1ef // VPXORQ ZMM8, ZMM8, ZMM9 ; result
LONG $0x48c5d162; WORD $0xf8ef // VPXORQ ZMM7, ZMM7, ZMM8
CMPQ AX, $3
JE skip_avx512_parallel84
MOVQ 72(SI), BX // BX: &in[3][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40f53362; WORD $0xf143; BYTE $0xaa // VSHUFI64x2 ZMM14, ZMM17, ZMM17, 0xaa
LONG $0x40f53362; WORD $0xf943; BYTE $0xff // VSHUFI64x2 ZMM15, ZMM17, ZMM17, 0xff
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40d53362; WORD $0xe543; BYTE $0xaa // VSHUFI64x2 ZMM12, ZMM21, ZMM21, 0xaa
LONG $0x40d53362; WORD $0xed43; BYTE $0xff // VSHUFI64x2 ZMM13, ZMM21, ZMM21, 0xff
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
LONG $0x40b51362; WORD $0xd143; BYTE $0xaa // VSHUFI64x2 ZMM10, ZMM25, ZMM25, 0xaa
LONG $0x40b51362; WORD $0xd943; BYTE $0xff // VSHUFI64x2 ZMM11, ZMM25, ZMM25, 0xff
LONG $0x482d7262; WORD $0xd000 // VPSHUFB ZMM10, ZMM10, ZMM0 ; mul low part
LONG $0x48257262; WORD $0xd900 // VPSHUFB ZMM11, ZMM11, ZMM1 ; mul high part
LONG $0x48ad5162; WORD $0xd3ef // VPXORQ ZMM10, ZMM10, ZMM11 ; result
LONG $0x48cdd162; WORD $0xf2ef // VPXORQ ZMM6, ZMM6, ZMM10
LONG $0x40951362; WORD $0xc543; BYTE $0xaa // VSHUFI64x2 ZMM8, ZMM29, ZMM29, 0xaa
LONG $0x40951362; WORD $0xcd43; BYTE $0xff // VSHUFI64x2 ZMM9, ZMM29, ZMM29, 0xff
LONG $0x483d7262; WORD $0xc000 // VPSHUFB ZMM8, ZMM8, ZMM0 ; mul low part
LONG $0x48357262; WORD $0xc900 // VPSHUFB ZMM9, ZMM9, ZMM1 ; mul high part
LONG $0x48bd5162; WORD $0xc1ef // VPXORQ ZMM8, ZMM8, ZMM9 ; result
LONG $0x48c5d162; WORD $0xf8ef // VPXORQ ZMM7, ZMM7, ZMM8
CMPQ AX, $4
JE skip_avx512_parallel84
MOVQ 96(SI), BX // BX: &in[4][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40ed3362; WORD $0xf243; BYTE $0x00 // VSHUFI64x2 ZMM14, ZMM18, ZMM18, 0x00
LONG $0x40ed3362; WORD $0xfa43; BYTE $0x55 // VSHUFI64x2 ZMM15, ZMM18, ZMM18, 0x55
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40cd3362; WORD $0xe643; BYTE $0x00 // VSHUFI64x2 ZMM12, ZMM22, ZMM22, 0x00
LONG $0x40cd3362; WORD $0xee43; BYTE $0x55 // VSHUFI64x2 ZMM13, ZMM22, ZMM22, 0x55
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
LONG $0x40ad1362; WORD $0xd243; BYTE $0x00 // VSHUFI64x2 ZMM10, ZMM26, ZMM26, 0x00
LONG $0x40ad1362; WORD $0xda43; BYTE $0x55 // VSHUFI64x2 ZMM11, ZMM26, ZMM26, 0x55
LONG $0x482d7262; WORD $0xd000 // VPSHUFB ZMM10, ZMM10, ZMM0 ; mul low part
LONG $0x48257262; WORD $0xd900 // VPSHUFB ZMM11, ZMM11, ZMM1 ; mul high part
LONG $0x48ad5162; WORD $0xd3ef // VPXORQ ZMM10, ZMM10, ZMM11 ; result
LONG $0x48cdd162; WORD $0xf2ef // VPXORQ ZMM6, ZMM6, ZMM10
LONG $0x408d1362; WORD $0xc643; BYTE $0x00 // VSHUFI64x2 ZMM8, ZMM30, ZMM30, 0x00
LONG $0x408d1362; WORD $0xce43; BYTE $0x55 // VSHUFI64x2 ZMM9, ZMM30, ZMM30, 0x55
LONG $0x483d7262; WORD $0xc000 // VPSHUFB ZMM8, ZMM8, ZMM0 ; mul low part
LONG $0x48357262; WORD $0xc900 // VPSHUFB ZMM9, ZMM9, ZMM1 ; mul high part
LONG $0x48bd5162; WORD $0xc1ef // VPXORQ ZMM8, ZMM8, ZMM9 ; result
LONG $0x48c5d162; WORD $0xf8ef // VPXORQ ZMM7, ZMM7, ZMM8
CMPQ AX, $5
JE skip_avx512_parallel84
MOVQ 120(SI), BX // BX: &in[5][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40ed3362; WORD $0xf243; BYTE $0xaa // VSHUFI64x2 ZMM14, ZMM18, ZMM18, 0xaa
LONG $0x40ed3362; WORD $0xfa43; BYTE $0xff // VSHUFI64x2 ZMM15, ZMM18, ZMM18, 0xff
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40cd3362; WORD $0xe643; BYTE $0xaa // VSHUFI64x2 ZMM12, ZMM22, ZMM22, 0xaa
LONG $0x40cd3362; WORD $0xee43; BYTE $0xff // VSHUFI64x2 ZMM13, ZMM22, ZMM22, 0xff
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
LONG $0x40ad1362; WORD $0xd243; BYTE $0xaa // VSHUFI64x2 ZMM10, ZMM26, ZMM26, 0xaa
LONG $0x40ad1362; WORD $0xda43; BYTE $0xff // VSHUFI64x2 ZMM11, ZMM26, ZMM26, 0xff
LONG $0x482d7262; WORD $0xd000 // VPSHUFB ZMM10, ZMM10, ZMM0 ; mul low part
LONG $0x48257262; WORD $0xd900 // VPSHUFB ZMM11, ZMM11, ZMM1 ; mul high part
LONG $0x48ad5162; WORD $0xd3ef // VPXORQ ZMM10, ZMM10, ZMM11 ; result
LONG $0x48cdd162; WORD $0xf2ef // VPXORQ ZMM6, ZMM6, ZMM10
LONG $0x408d1362; WORD $0xc643; BYTE $0xaa // VSHUFI64x2 ZMM8, ZMM30, ZMM30, 0xaa
LONG $0x408d1362; WORD $0xce43; BYTE $0xff // VSHUFI64x2 ZMM9, ZMM30, ZMM30, 0xff
LONG $0x483d7262; WORD $0xc000 // VPSHUFB ZMM8, ZMM8, ZMM0 ; mul low part
LONG $0x48357262; WORD $0xc900 // VPSHUFB ZMM9, ZMM9, ZMM1 ; mul high part
LONG $0x48bd5162; WORD $0xc1ef // VPXORQ ZMM8, ZMM8, ZMM9 ; result
LONG $0x48c5d162; WORD $0xf8ef // VPXORQ ZMM7, ZMM7, ZMM8
CMPQ AX, $6
JE skip_avx512_parallel84
MOVQ 144(SI), BX // BX: &in[6][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40e53362; WORD $0xf343; BYTE $0x00 // VSHUFI64x2 ZMM14, ZMM19, ZMM19, 0x00
LONG $0x40e53362; WORD $0xfb43; BYTE $0x55 // VSHUFI64x2 ZMM15, ZMM19, ZMM19, 0x55
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40c53362; WORD $0xe743; BYTE $0x00 // VSHUFI64x2 ZMM12, ZMM23, ZMM23, 0x00
LONG $0x40c53362; WORD $0xef43; BYTE $0x55 // VSHUFI64x2 ZMM13, ZMM23, ZMM23, 0x55
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
LONG $0x40a51362; WORD $0xd343; BYTE $0x00 // VSHUFI64x2 ZMM10, ZMM27, ZMM27, 0x00
LONG $0x40a51362; WORD $0xdb43; BYTE $0x55 // VSHUFI64x2 ZMM11, ZMM27, ZMM27, 0x55
LONG $0x482d7262; WORD $0xd000 // VPSHUFB ZMM10, ZMM10, ZMM0 ; mul low part
LONG $0x48257262; WORD $0xd900 // VPSHUFB ZMM11, ZMM11, ZMM1 ; mul high part
LONG $0x48ad5162; WORD $0xd3ef // VPXORQ ZMM10, ZMM10, ZMM11 ; result
LONG $0x48cdd162; WORD $0xf2ef // VPXORQ ZMM6, ZMM6, ZMM10
LONG $0x40851362; WORD $0xc743; BYTE $0x00 // VSHUFI64x2 ZMM8, ZMM31, ZMM31, 0x00
LONG $0x40851362; WORD $0xcf43; BYTE $0x55 // VSHUFI64x2 ZMM9, ZMM31, ZMM31, 0x55
LONG $0x483d7262; WORD $0xc000 // VPSHUFB ZMM8, ZMM8, ZMM0 ; mul low part
LONG $0x48357262; WORD $0xc900 // VPSHUFB ZMM9, ZMM9, ZMM1 ; mul high part
LONG $0x48bd5162; WORD $0xc1ef // VPXORQ ZMM8, ZMM8, ZMM9 ; result
LONG $0x48c5d162; WORD $0xf8ef // VPXORQ ZMM7, ZMM7, ZMM8
CMPQ AX, $7
JE skip_avx512_parallel84
MOVQ 168(SI), BX // BX: &in[7][0]
LONG $0x48feb162; WORD $0x046f; BYTE $0x1b // VMOVDQU64 ZMM0, [rbx+r11]
LONG $0x40e53362; WORD $0xf343; BYTE $0xaa // VSHUFI64x2 ZMM14, ZMM19, ZMM19, 0xaa
LONG $0x40e53362; WORD $0xfb43; BYTE $0xff // VSHUFI64x2 ZMM15, ZMM19, ZMM19, 0xff
LONG $0x48f5f162; WORD $0xd073; BYTE $0x04 // VPSRLQ ZMM1, ZMM0, 4 ; high input
LONG $0x48fdf162; WORD $0xc2db // VPANDQ ZMM0, ZMM0, ZMM2 ; low input
LONG $0x48f5f162; WORD $0xcadb // VPANDQ ZMM1, ZMM1, ZMM2 ; high input
LONG $0x480d7262; WORD $0xf000 // VPSHUFB ZMM14, ZMM14, ZMM0 ; mul low part
LONG $0x48057262; WORD $0xf900 // VPSHUFB ZMM15, ZMM15, ZMM1 ; mul high part
LONG $0x488d5162; WORD $0xf7ef // VPXORQ ZMM14, ZMM14, ZMM15 ; result
LONG $0x48ddd162; WORD $0xe6ef // VPXORQ ZMM4, ZMM4, ZMM14
LONG $0x40c53362; WORD $0xe743; BYTE $0xaa // VSHUFI64x2 ZMM12, ZMM23, ZMM23, 0xaa
LONG $0x40c53362; WORD $0xef43; BYTE $0xff // VSHUFI64x2 ZMM13, ZMM23, ZMM23, 0xff
LONG $0x481d7262; WORD $0xe000 // VPSHUFB ZMM12, ZMM12, ZMM0 ; mul low part
LONG $0x48157262; WORD $0xe900 // VPSHUFB ZMM13, ZMM13, ZMM1 ; mul high part
LONG $0x489d5162; WORD $0xe5ef // VPXORQ ZMM12, ZMM12, ZMM13 ; result
LONG $0x48d5d162; WORD $0xecef // VPXORQ ZMM5, ZMM5, ZMM12
LONG $0x40a51362; WORD $0xd343; BYTE $0xaa // VSHUFI64x2 ZMM10, ZMM27, ZMM27, 0xaa
LONG $0x40a51362; WORD $0xdb43; BYTE $0xff // VSHUFI64x2 ZMM11, ZMM27, ZMM27, 0xff
LONG $0x482d7262; WORD $0xd000 // VPSHUFB ZMM10, ZMM10, ZMM0 ; mul low part
LONG $0x48257262; WORD $0xd900 // VPSHUFB ZMM11, ZMM11, ZMM1 ; mul high part
LONG $0x48ad5162; WORD $0xd3ef // VPXORQ ZMM10, ZMM10, ZMM11 ; result
LONG $0x48cdd162; WORD $0xf2ef // VPXORQ ZMM6, ZMM6, ZMM10
LONG $0x40851362; WORD $0xc743; BYTE $0xaa // VSHUFI64x2 ZMM8, ZMM31, ZMM31, 0xaa
LONG $0x40851362; WORD $0xcf43; BYTE $0xff // VSHUFI64x2 ZMM9, ZMM31, ZMM31, 0xff
LONG $0x483d7262; WORD $0xc000 // VPSHUFB ZMM8, ZMM8, ZMM0 ; mul low part
LONG $0x48357262; WORD $0xc900 // VPSHUFB ZMM9, ZMM9, ZMM1 ; mul high part
LONG $0x48bd5162; WORD $0xc1ef // VPXORQ ZMM8, ZMM8, ZMM9 ; result
LONG $0x48c5d162; WORD $0xf8ef // VPXORQ ZMM7, ZMM7, ZMM8
skip_avx512_parallel84:
LONG $0x48fef162; WORD $0x227f // VMOVDQU64 [rdx], ZMM4
LONG $0x48fef162; WORD $0x297f // VMOVDQU64 [rcx], ZMM5
LONG $0x48fed162; WORD $0x327f // VMOVDQU64 [r10], ZMM6
LONG $0x48fed162; WORD $0x3c7f; BYTE $0x24 // VMOVDQU64 [r12], ZMM7
ADDQ $64, R11 // in4+=64
ADDQ $64, DX // out+=64
ADDQ $64, CX // out2+=64
ADDQ $64, R10 // out3+=64
ADDQ $64, R12 // out4+=64
SUBQ $1, R9
JNZ loopback_avx512_parallel84
done_avx512_parallel84:
VZEROUPPER
RET

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vendor/github.com/klauspost/reedsolomon/galois_amd64.go generated vendored Normal file
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//+build !noasm
//+build !appengine
//+build !gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
package reedsolomon
//go:noescape
func galMulSSSE3(low, high, in, out []byte)
//go:noescape
func galMulSSSE3Xor(low, high, in, out []byte)
//go:noescape
func galMulAVX2Xor(low, high, in, out []byte)
//go:noescape
func galMulAVX2(low, high, in, out []byte)
//go:noescape
func sSE2XorSlice(in, out []byte)
// This is what the assembler routines do in blocks of 16 bytes:
/*
func galMulSSSE3(low, high, in, out []byte) {
for n, input := range in {
l := input & 0xf
h := input >> 4
out[n] = low[l] ^ high[h]
}
}
func galMulSSSE3Xor(low, high, in, out []byte) {
for n, input := range in {
l := input & 0xf
h := input >> 4
out[n] ^= low[l] ^ high[h]
}
}
*/
func galMulSlice(c byte, in, out []byte, o *options) {
var done int
if o.useAVX2 {
galMulAVX2(mulTableLow[c][:], mulTableHigh[c][:], in, out)
done = (len(in) >> 5) << 5
} else if o.useSSSE3 {
galMulSSSE3(mulTableLow[c][:], mulTableHigh[c][:], in, out)
done = (len(in) >> 4) << 4
}
remain := len(in) - done
if remain > 0 {
mt := mulTable[c][:256]
for i := done; i < len(in); i++ {
out[i] = mt[in[i]]
}
}
}
func galMulSliceXor(c byte, in, out []byte, o *options) {
var done int
if o.useAVX2 {
galMulAVX2Xor(mulTableLow[c][:], mulTableHigh[c][:], in, out)
done = (len(in) >> 5) << 5
} else if o.useSSSE3 {
galMulSSSE3Xor(mulTableLow[c][:], mulTableHigh[c][:], in, out)
done = (len(in) >> 4) << 4
}
remain := len(in) - done
if remain > 0 {
mt := mulTable[c][:256]
for i := done; i < len(in); i++ {
out[i] ^= mt[in[i]]
}
}
}
// slice galois add
func sliceXor(in, out []byte, sse2 bool) {
var done int
if sse2 {
sSE2XorSlice(in, out)
done = (len(in) >> 4) << 4
}
remain := len(in) - done
if remain > 0 {
for i := done; i < len(in); i++ {
out[i] ^= in[i]
}
}
}

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//+build !noasm !appengine !gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
// Based on http://www.snia.org/sites/default/files2/SDC2013/presentations/NewThinking/EthanMiller_Screaming_Fast_Galois_Field%20Arithmetic_SIMD%20Instructions.pdf
// and http://jerasure.org/jerasure/gf-complete/tree/master
// func galMulSSSE3Xor(low, high, in, out []byte)
TEXT ·galMulSSSE3Xor(SB), 7, $0
MOVQ low+0(FP), SI // SI: &low
MOVQ high+24(FP), DX // DX: &high
MOVOU (SI), X6 // X6 low
MOVOU (DX), X7 // X7: high
MOVQ $15, BX // BX: low mask
MOVQ BX, X8
PXOR X5, X5
MOVQ in+48(FP), SI // R11: &in
MOVQ in_len+56(FP), R9 // R9: len(in)
MOVQ out+72(FP), DX // DX: &out
PSHUFB X5, X8 // X8: lomask (unpacked)
SHRQ $4, R9 // len(in) / 16
MOVQ SI, AX
MOVQ DX, BX
ANDQ $15, AX
ANDQ $15, BX
CMPQ R9, $0
JEQ done_xor
ORQ AX, BX
CMPQ BX, $0
JNZ loopback_xor
loopback_xor_aligned:
MOVOA (SI), X0 // in[x]
MOVOA (DX), X4 // out[x]
MOVOA X0, X1 // in[x]
MOVOA X6, X2 // low copy
MOVOA X7, X3 // high copy
PSRLQ $4, X1 // X1: high input
PAND X8, X0 // X0: low input
PAND X8, X1 // X0: high input
PSHUFB X0, X2 // X2: mul low part
PSHUFB X1, X3 // X3: mul high part
PXOR X2, X3 // X3: Result
PXOR X4, X3 // X3: Result xor existing out
MOVOA X3, (DX) // Store
ADDQ $16, SI // in+=16
ADDQ $16, DX // out+=16
SUBQ $1, R9
JNZ loopback_xor_aligned
JMP done_xor
loopback_xor:
MOVOU (SI), X0 // in[x]
MOVOU (DX), X4 // out[x]
MOVOU X0, X1 // in[x]
MOVOU X6, X2 // low copy
MOVOU X7, X3 // high copy
PSRLQ $4, X1 // X1: high input
PAND X8, X0 // X0: low input
PAND X8, X1 // X0: high input
PSHUFB X0, X2 // X2: mul low part
PSHUFB X1, X3 // X3: mul high part
PXOR X2, X3 // X3: Result
PXOR X4, X3 // X3: Result xor existing out
MOVOU X3, (DX) // Store
ADDQ $16, SI // in+=16
ADDQ $16, DX // out+=16
SUBQ $1, R9
JNZ loopback_xor
done_xor:
RET
// func galMulSSSE3(low, high, in, out []byte)
TEXT ·galMulSSSE3(SB), 7, $0
MOVQ low+0(FP), SI // SI: &low
MOVQ high+24(FP), DX // DX: &high
MOVOU (SI), X6 // X6 low
MOVOU (DX), X7 // X7: high
MOVQ $15, BX // BX: low mask
MOVQ BX, X8
PXOR X5, X5
MOVQ in+48(FP), SI // R11: &in
MOVQ in_len+56(FP), R9 // R9: len(in)
MOVQ out+72(FP), DX // DX: &out
PSHUFB X5, X8 // X8: lomask (unpacked)
MOVQ SI, AX
MOVQ DX, BX
SHRQ $4, R9 // len(in) / 16
ANDQ $15, AX
ANDQ $15, BX
CMPQ R9, $0
JEQ done
ORQ AX, BX
CMPQ BX, $0
JNZ loopback
loopback_aligned:
MOVOA (SI), X0 // in[x]
MOVOA X0, X1 // in[x]
MOVOA X6, X2 // low copy
MOVOA X7, X3 // high copy
PSRLQ $4, X1 // X1: high input
PAND X8, X0 // X0: low input
PAND X8, X1 // X0: high input
PSHUFB X0, X2 // X2: mul low part
PSHUFB X1, X3 // X3: mul high part
PXOR X2, X3 // X3: Result
MOVOA X3, (DX) // Store
ADDQ $16, SI // in+=16
ADDQ $16, DX // out+=16
SUBQ $1, R9
JNZ loopback_aligned
JMP done
loopback:
MOVOU (SI), X0 // in[x]
MOVOU X0, X1 // in[x]
MOVOA X6, X2 // low copy
MOVOA X7, X3 // high copy
PSRLQ $4, X1 // X1: high input
PAND X8, X0 // X0: low input
PAND X8, X1 // X0: high input
PSHUFB X0, X2 // X2: mul low part
PSHUFB X1, X3 // X3: mul high part
PXOR X2, X3 // X3: Result
MOVOU X3, (DX) // Store
ADDQ $16, SI // in+=16
ADDQ $16, DX // out+=16
SUBQ $1, R9
JNZ loopback
done:
RET
// func galMulAVX2Xor(low, high, in, out []byte)
TEXT ·galMulAVX2Xor(SB), 7, $0
MOVQ low+0(FP), SI // SI: &low
MOVQ high+24(FP), DX // DX: &high
MOVQ $15, BX // BX: low mask
MOVQ BX, X5
MOVOU (SI), X6 // X6: low
MOVOU (DX), X7 // X7: high
MOVQ in_len+56(FP), R9 // R9: len(in)
VINSERTI128 $1, X6, Y6, Y6 // low
VINSERTI128 $1, X7, Y7, Y7 // high
VPBROADCASTB X5, Y8 // Y8: lomask (unpacked)
SHRQ $5, R9 // len(in) / 32
MOVQ out+72(FP), DX // DX: &out
MOVQ in+48(FP), SI // SI: &in
TESTQ R9, R9
JZ done_xor_avx2
loopback_xor_avx2:
VMOVDQU (SI), Y0
VMOVDQU (DX), Y4
VPSRLQ $4, Y0, Y1 // Y1: high input
VPAND Y8, Y0, Y0 // Y0: low input
VPAND Y8, Y1, Y1 // Y1: high input
VPSHUFB Y0, Y6, Y2 // Y2: mul low part
VPSHUFB Y1, Y7, Y3 // Y3: mul high part
VPXOR Y3, Y2, Y3 // Y3: Result
VPXOR Y4, Y3, Y4 // Y4: Result
VMOVDQU Y4, (DX)
ADDQ $32, SI // in+=32
ADDQ $32, DX // out+=32
SUBQ $1, R9
JNZ loopback_xor_avx2
done_xor_avx2:
VZEROUPPER
RET
// func galMulAVX2(low, high, in, out []byte)
TEXT ·galMulAVX2(SB), 7, $0
MOVQ low+0(FP), SI // SI: &low
MOVQ high+24(FP), DX // DX: &high
MOVQ $15, BX // BX: low mask
MOVQ BX, X5
MOVOU (SI), X6 // X6: low
MOVOU (DX), X7 // X7: high
MOVQ in_len+56(FP), R9 // R9: len(in)
VINSERTI128 $1, X6, Y6, Y6 // low
VINSERTI128 $1, X7, Y7, Y7 // high
VPBROADCASTB X5, Y8 // Y8: lomask (unpacked)
SHRQ $5, R9 // len(in) / 32
MOVQ out+72(FP), DX // DX: &out
MOVQ in+48(FP), SI // SI: &in
TESTQ R9, R9
JZ done_avx2
loopback_avx2:
VMOVDQU (SI), Y0
VPSRLQ $4, Y0, Y1 // Y1: high input
VPAND Y8, Y0, Y0 // Y0: low input
VPAND Y8, Y1, Y1 // Y1: high input
VPSHUFB Y0, Y6, Y2 // Y2: mul low part
VPSHUFB Y1, Y7, Y3 // Y3: mul high part
VPXOR Y3, Y2, Y4 // Y4: Result
VMOVDQU Y4, (DX)
ADDQ $32, SI // in+=32
ADDQ $32, DX // out+=32
SUBQ $1, R9
JNZ loopback_avx2
done_avx2:
VZEROUPPER
RET
// func sSE2XorSlice(in, out []byte)
TEXT ·sSE2XorSlice(SB), 7, $0
MOVQ in+0(FP), SI // SI: &in
MOVQ in_len+8(FP), R9 // R9: len(in)
MOVQ out+24(FP), DX // DX: &out
SHRQ $4, R9 // len(in) / 16
CMPQ R9, $0
JEQ done_xor_sse2
loopback_xor_sse2:
MOVOU (SI), X0 // in[x]
MOVOU (DX), X1 // out[x]
PXOR X0, X1
MOVOU X1, (DX)
ADDQ $16, SI // in+=16
ADDQ $16, DX // out+=16
SUBQ $1, R9
JNZ loopback_xor_sse2
done_xor_sse2:
RET

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//+build !noasm
//+build !appengine
//+build !gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
// Copyright 2017, Minio, Inc.
package reedsolomon
//go:noescape
func galMulNEON(c uint64, in, out []byte)
//go:noescape
func galMulXorNEON(c uint64, in, out []byte)
func galMulSlice(c byte, in, out []byte, o *options) {
var done int
galMulNEON(uint64(c), in, out)
done = (len(in) >> 5) << 5
remain := len(in) - done
if remain > 0 {
mt := mulTable[c][:256]
for i := done; i < len(in); i++ {
out[i] = mt[in[i]]
}
}
}
func galMulSliceXor(c byte, in, out []byte, o *options) {
var done int
galMulXorNEON(uint64(c), in, out)
done = (len(in) >> 5) << 5
remain := len(in) - done
if remain > 0 {
mt := mulTable[c][:256]
for i := done; i < len(in); i++ {
out[i] ^= mt[in[i]]
}
}
}
// slice galois add
func sliceXor(in, out []byte, sse2 bool) {
for n, input := range in {
out[n] ^= input
}
}
func (r reedSolomon) codeSomeShardsAvx512(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) {
}

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//+build !noasm !appengine !gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
// Copyright 2017, Minio, Inc.
// Use github.com/minio/asm2plan9s on this file to assemble ARM instructions to
// the opcodes of their Plan9 equivalents
// polynomial multiplication
#define POLYNOMIAL_MULTIPLICATION \
WORD $0x0e3ce340 \ // pmull v0.8h,v26.8b,v28.8b
WORD $0x4e3ce346 \ // pmull2 v6.8h,v26.16b,v28.16b
WORD $0x0e3ce36c \ // pmull v12.8h,v27.8b,v28.8b
WORD $0x4e3ce372 // pmull2 v18.8h,v27.16b,v28.16b
// first reduction
#define FIRST_REDUCTION \
WORD $0x0f088402 \ // shrn v2.8b, v0.8h, #8
WORD $0x0f0884c8 \ // shrn v8.8b, v6.8h, #8
WORD $0x0f08858e \ // shrn v14.8b, v12.8h, #8
WORD $0x0f088654 \ // shrn v20.8b, v18.8h, #8
WORD $0x0e22e3c3 \ // pmull v3.8h,v30.8b,v2.8b
WORD $0x0e28e3c9 \ // pmull v9.8h,v30.8b,v8.8b
WORD $0x0e2ee3cf \ // pmull v15.8h,v30.8b,v14.8b
WORD $0x0e34e3d5 \ // pmull v21.8h,v30.8b,v20.8b
WORD $0x6e201c60 \ // eor v0.16b,v3.16b,v0.16b
WORD $0x6e261d26 \ // eor v6.16b,v9.16b,v6.16b
WORD $0x6e2c1dec \ // eor v12.16b,v15.16b,v12.16b
WORD $0x6e321eb2 // eor v18.16b,v21.16b,v18.16b
// second reduction
#define SECOND_REDUCTION \
WORD $0x0f088404 \ // shrn v4.8b, v0.8h, #8
WORD $0x0f0884ca \ // shrn v10.8b, v6.8h, #8
WORD $0x0f088590 \ // shrn v16.8b, v12.8h, #8
WORD $0x0f088656 \ // shrn v22.8b, v18.8h, #8
WORD $0x6e241c44 \ // eor v4.16b,v2.16b,v4.16b
WORD $0x6e2a1d0a \ // eor v10.16b,v8.16b,v10.16b
WORD $0x6e301dd0 \ // eor v16.16b,v14.16b,v16.16b
WORD $0x6e361e96 \ // eor v22.16b,v20.16b,v22.16b
WORD $0x0e24e3c5 \ // pmull v5.8h,v30.8b,v4.8b
WORD $0x0e2ae3cb \ // pmull v11.8h,v30.8b,v10.8b
WORD $0x0e30e3d1 \ // pmull v17.8h,v30.8b,v16.8b
WORD $0x0e36e3d7 \ // pmull v23.8h,v30.8b,v22.8b
WORD $0x6e201ca0 \ // eor v0.16b,v5.16b,v0.16b
WORD $0x6e261d61 \ // eor v1.16b,v11.16b,v6.16b
WORD $0x6e2c1e22 \ // eor v2.16b,v17.16b,v12.16b
WORD $0x6e321ee3 // eor v3.16b,v23.16b,v18.16b
// func galMulNEON(c uint64, in, out []byte)
TEXT ·galMulNEON(SB), 7, $0
MOVD c+0(FP), R0
MOVD in_base+8(FP), R1
MOVD in_len+16(FP), R2 // length of message
MOVD out_base+32(FP), R5
SUBS $32, R2
BMI complete
// Load constants table pointer
MOVD $·constants(SB), R3
// and load constants into v30 & v31
WORD $0x4c40a07e // ld1 {v30.16b-v31.16b}, [x3]
WORD $0x4e010c1c // dup v28.16b, w0
loop:
// Main loop
WORD $0x4cdfa83a // ld1 {v26.4s-v27.4s}, [x1], #32
POLYNOMIAL_MULTIPLICATION
FIRST_REDUCTION
SECOND_REDUCTION
// combine results
WORD $0x4e1f2000 // tbl v0.16b,{v0.16b,v1.16b},v31.16b
WORD $0x4e1f2041 // tbl v1.16b,{v2.16b,v3.16b},v31.16b
// Store result
WORD $0x4c9faca0 // st1 {v0.2d-v1.2d}, [x5], #32
SUBS $32, R2
BPL loop
complete:
RET
// func galMulXorNEON(c uint64, in, out []byte)
TEXT ·galMulXorNEON(SB), 7, $0
MOVD c+0(FP), R0
MOVD in_base+8(FP), R1
MOVD in_len+16(FP), R2 // length of message
MOVD out_base+32(FP), R5
SUBS $32, R2
BMI completeXor
// Load constants table pointer
MOVD $·constants(SB), R3
// and load constants into v30 & v31
WORD $0x4c40a07e // ld1 {v30.16b-v31.16b}, [x3]
WORD $0x4e010c1c // dup v28.16b, w0
loopXor:
// Main loop
WORD $0x4cdfa83a // ld1 {v26.4s-v27.4s}, [x1], #32
WORD $0x4c40a8b8 // ld1 {v24.4s-v25.4s}, [x5]
POLYNOMIAL_MULTIPLICATION
FIRST_REDUCTION
SECOND_REDUCTION
// combine results
WORD $0x4e1f2000 // tbl v0.16b,{v0.16b,v1.16b},v31.16b
WORD $0x4e1f2041 // tbl v1.16b,{v2.16b,v3.16b},v31.16b
// Xor result and store
WORD $0x6e381c00 // eor v0.16b,v0.16b,v24.16b
WORD $0x6e391c21 // eor v1.16b,v1.16b,v25.16b
WORD $0x4c9faca0 // st1 {v0.2d-v1.2d}, [x5], #32
SUBS $32, R2
BPL loopXor
completeXor:
RET
// Constants table
// generating polynomial is 29 (= 0x1d)
DATA ·constants+0x0(SB)/8, $0x1d1d1d1d1d1d1d1d
DATA ·constants+0x8(SB)/8, $0x1d1d1d1d1d1d1d1d
// constant for TBL instruction
DATA ·constants+0x10(SB)/8, $0x0e0c0a0806040200
DATA ·constants+0x18(SB)/8, $0x1e1c1a1816141210
GLOBL ·constants(SB), 8, $32

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vendor/github.com/klauspost/reedsolomon/galois_noasm.go generated vendored Normal file
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//+build !amd64 noasm appengine gccgo
//+build !arm64 noasm appengine gccgo
//+build !ppc64le noasm appengine gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
package reedsolomon
func galMulSlice(c byte, in, out []byte, o *options) {
mt := mulTable[c][:256]
out = out[:len(in)]
for n, input := range in {
out[n] = mt[input]
}
}
func galMulSliceXor(c byte, in, out []byte, o *options) {
mt := mulTable[c][:256]
out = out[:len(in)]
for n, input := range in {
out[n] ^= mt[input]
}
}
// slice galois add
func sliceXor(in, out []byte, sse2 bool) {
for n, input := range in {
out[n] ^= input
}
}
func (r reedSolomon) codeSomeShardsAvx512(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) {
panic("unreachable")
}

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vendor/github.com/klauspost/reedsolomon/galois_ppc64le.go generated vendored Normal file
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//+build !noasm
//+build !appengine
//+build !gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
// Copyright 2018, Minio, Inc.
package reedsolomon
//go:noescape
func galMulPpc(low, high, in, out []byte)
//go:noescape
func galMulPpcXor(low, high, in, out []byte)
// This is what the assembler routines do in blocks of 16 bytes:
/*
func galMulPpc(low, high, in, out []byte) {
for n, input := range in {
l := input & 0xf
h := input >> 4
out[n] = low[l] ^ high[h]
}
}
func galMulPpcXor(low, high, in, out []byte) {
for n, input := range in {
l := input & 0xf
h := input >> 4
out[n] ^= low[l] ^ high[h]
}
}
*/
func galMulSlice(c byte, in, out []byte, o *options) {
done := (len(in) >> 4) << 4
if done > 0 {
galMulPpc(mulTableLow[c][:], mulTableHigh[c][:], in[:done], out)
}
remain := len(in) - done
if remain > 0 {
mt := mulTable[c][:256]
for i := done; i < len(in); i++ {
out[i] = mt[in[i]]
}
}
}
func galMulSliceXor(c byte, in, out []byte, o *options) {
done := (len(in) >> 4) << 4
if done > 0 {
galMulPpcXor(mulTableLow[c][:], mulTableHigh[c][:], in[:done], out)
}
remain := len(in) - done
if remain > 0 {
mt := mulTable[c][:256]
for i := done; i < len(in); i++ {
out[i] ^= mt[in[i]]
}
}
}
// slice galois add
func sliceXor(in, out []byte, sse2 bool) {
for n, input := range in {
out[n] ^= input
}
}
func (r reedSolomon) codeSomeShardsAvx512(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) {
}

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//+build !noasm !appengine !gccgo
// Copyright 2015, Klaus Post, see LICENSE for details.
// Copyright 2018, Minio, Inc.
#include "textflag.h"
#define LOW R3
#define HIGH R4
#define IN R5
#define LEN R6
#define OUT R7
#define CONSTANTS R8
#define OFFSET R9
#define OFFSET1 R10
#define OFFSET2 R11
#define X6 VS34
#define X6_ V2
#define X7 VS35
#define X7_ V3
#define MSG VS36
#define MSG_ V4
#define MSG_HI VS37
#define MSG_HI_ V5
#define RESULT VS38
#define RESULT_ V6
#define ROTATE VS39
#define ROTATE_ V7
#define MASK VS40
#define MASK_ V8
#define FLIP VS41
#define FLIP_ V9
// func galMulPpc(low, high, in, out []byte)
TEXT ·galMulPpc(SB), NOFRAME|NOSPLIT, $0-96
MOVD low+0(FP), LOW
MOVD high+24(FP), HIGH
MOVD in+48(FP), IN
MOVD in_len+56(FP), LEN
MOVD out+72(FP), OUT
MOVD $16, OFFSET1
MOVD $32, OFFSET2
MOVD $·constants(SB), CONSTANTS
LXVD2X (CONSTANTS)(R0), ROTATE
LXVD2X (CONSTANTS)(OFFSET1), MASK
LXVD2X (CONSTANTS)(OFFSET2), FLIP
LXVD2X (LOW)(R0), X6
LXVD2X (HIGH)(R0), X7
VPERM X6_, V31, FLIP_, X6_
VPERM X7_, V31, FLIP_, X7_
MOVD $0, OFFSET
loop:
LXVD2X (IN)(OFFSET), MSG
VSRB MSG_, ROTATE_, MSG_HI_
VAND MSG_, MASK_, MSG_
VPERM X6_, V31, MSG_, MSG_
VPERM X7_, V31, MSG_HI_, MSG_HI_
VXOR MSG_, MSG_HI_, MSG_
STXVD2X MSG, (OUT)(OFFSET)
ADD $16, OFFSET, OFFSET
CMP LEN, OFFSET
BGT loop
RET
// func galMulPpcXorlow, high, in, out []byte)
TEXT ·galMulPpcXor(SB), NOFRAME|NOSPLIT, $0-96
MOVD low+0(FP), LOW
MOVD high+24(FP), HIGH
MOVD in+48(FP), IN
MOVD in_len+56(FP), LEN
MOVD out+72(FP), OUT
MOVD $16, OFFSET1
MOVD $32, OFFSET2
MOVD $·constants(SB), CONSTANTS
LXVD2X (CONSTANTS)(R0), ROTATE
LXVD2X (CONSTANTS)(OFFSET1), MASK
LXVD2X (CONSTANTS)(OFFSET2), FLIP
LXVD2X (LOW)(R0), X6
LXVD2X (HIGH)(R0), X7
VPERM X6_, V31, FLIP_, X6_
VPERM X7_, V31, FLIP_, X7_
MOVD $0, OFFSET
loopXor:
LXVD2X (IN)(OFFSET), MSG
LXVD2X (OUT)(OFFSET), RESULT
VSRB MSG_, ROTATE_, MSG_HI_
VAND MSG_, MASK_, MSG_
VPERM X6_, V31, MSG_, MSG_
VPERM X7_, V31, MSG_HI_, MSG_HI_
VXOR MSG_, MSG_HI_, MSG_
VXOR MSG_, RESULT_, RESULT_
STXVD2X RESULT, (OUT)(OFFSET)
ADD $16, OFFSET, OFFSET
CMP LEN, OFFSET
BGT loopXor
RET
DATA ·constants+0x0(SB)/8, $0x0404040404040404
DATA ·constants+0x8(SB)/8, $0x0404040404040404
DATA ·constants+0x10(SB)/8, $0x0f0f0f0f0f0f0f0f
DATA ·constants+0x18(SB)/8, $0x0f0f0f0f0f0f0f0f
DATA ·constants+0x20(SB)/8, $0x0706050403020100
DATA ·constants+0x28(SB)/8, $0x0f0e0d0c0b0a0908
GLOBL ·constants(SB), 8, $48

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//+build ignore
package main
import (
"fmt"
)
var logTable = [fieldSize]int16{
-1, 0, 1, 25, 2, 50, 26, 198,
3, 223, 51, 238, 27, 104, 199, 75,
4, 100, 224, 14, 52, 141, 239, 129,
28, 193, 105, 248, 200, 8, 76, 113,
5, 138, 101, 47, 225, 36, 15, 33,
53, 147, 142, 218, 240, 18, 130, 69,
29, 181, 194, 125, 106, 39, 249, 185,
201, 154, 9, 120, 77, 228, 114, 166,
6, 191, 139, 98, 102, 221, 48, 253,
226, 152, 37, 179, 16, 145, 34, 136,
54, 208, 148, 206, 143, 150, 219, 189,
241, 210, 19, 92, 131, 56, 70, 64,
30, 66, 182, 163, 195, 72, 126, 110,
107, 58, 40, 84, 250, 133, 186, 61,
202, 94, 155, 159, 10, 21, 121, 43,
78, 212, 229, 172, 115, 243, 167, 87,
7, 112, 192, 247, 140, 128, 99, 13,
103, 74, 222, 237, 49, 197, 254, 24,
227, 165, 153, 119, 38, 184, 180, 124,
17, 68, 146, 217, 35, 32, 137, 46,
55, 63, 209, 91, 149, 188, 207, 205,
144, 135, 151, 178, 220, 252, 190, 97,
242, 86, 211, 171, 20, 42, 93, 158,
132, 60, 57, 83, 71, 109, 65, 162,
31, 45, 67, 216, 183, 123, 164, 118,
196, 23, 73, 236, 127, 12, 111, 246,
108, 161, 59, 82, 41, 157, 85, 170,
251, 96, 134, 177, 187, 204, 62, 90,
203, 89, 95, 176, 156, 169, 160, 81,
11, 245, 22, 235, 122, 117, 44, 215,
79, 174, 213, 233, 230, 231, 173, 232,
116, 214, 244, 234, 168, 80, 88, 175,
}
const (
// The number of elements in the field.
fieldSize = 256
// The polynomial used to generate the logarithm table.
//
// There are a number of polynomials that work to generate
// a Galois field of 256 elements. The choice is arbitrary,
// and we just use the first one.
//
// The possibilities are: 29, 43, 45, 77, 95, 99, 101, 105,
//* 113, 135, 141, 169, 195, 207, 231, and 245.
generatingPolynomial = 29
)
func main() {
t := generateExpTable()
fmt.Printf("var expTable = %#v\n", t)
//t2 := generateMulTableSplit(t)
//fmt.Printf("var mulTable = %#v\n", t2)
low, high := generateMulTableHalf(t)
fmt.Printf("var mulTableLow = %#v\n", low)
fmt.Printf("var mulTableHigh = %#v\n", high)
}
/**
* Generates the inverse log table.
*/
func generateExpTable() []byte {
result := make([]byte, fieldSize*2-2)
for i := 1; i < fieldSize; i++ {
log := logTable[i]
result[log] = byte(i)
result[log+fieldSize-1] = byte(i)
}
return result
}
func generateMulTable(expTable []byte) []byte {
result := make([]byte, 256*256)
for v := range result {
a := byte(v & 0xff)
b := byte(v >> 8)
if a == 0 || b == 0 {
result[v] = 0
continue
}
logA := int(logTable[a])
logB := int(logTable[b])
result[v] = expTable[logA+logB]
}
return result
}
func generateMulTableSplit(expTable []byte) [256][256]byte {
var result [256][256]byte
for a := range result {
for b := range result[a] {
if a == 0 || b == 0 {
result[a][b] = 0
continue
}
logA := int(logTable[a])
logB := int(logTable[b])
result[a][b] = expTable[logA+logB]
}
}
return result
}
func generateMulTableHalf(expTable []byte) (low [256][16]byte, high [256][16]byte) {
for a := range low {
for b := range low {
result := 0
if !(a == 0 || b == 0) {
logA := int(logTable[a])
logB := int(logTable[b])
result = int(expTable[logA+logB])
}
if (b & 0xf) == b {
low[a][b] = byte(result)
}
if (b & 0xf0) == b {
high[a][b>>4] = byte(result)
}
}
}
return
}

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vendor/github.com/klauspost/reedsolomon/inversion_tree.go generated vendored Normal file
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/**
* A thread-safe tree which caches inverted matrices.
*
* Copyright 2016, Peter Collins
*/
package reedsolomon
import (
"errors"
"sync"
)
// The tree uses a Reader-Writer mutex to make it thread-safe
// when accessing cached matrices and inserting new ones.
type inversionTree struct {
mutex *sync.RWMutex
root inversionNode
}
type inversionNode struct {
matrix matrix
children []*inversionNode
}
// newInversionTree initializes a tree for storing inverted matrices.
// Note that the root node is the identity matrix as it implies
// there were no errors with the original data.
func newInversionTree(dataShards, parityShards int) inversionTree {
identity, _ := identityMatrix(dataShards)
root := inversionNode{
matrix: identity,
children: make([]*inversionNode, dataShards+parityShards),
}
return inversionTree{
mutex: &sync.RWMutex{},
root: root,
}
}
// GetInvertedMatrix returns the cached inverted matrix or nil if it
// is not found in the tree keyed on the indices of invalid rows.
func (t inversionTree) GetInvertedMatrix(invalidIndices []int) matrix {
// Lock the tree for reading before accessing the tree.
t.mutex.RLock()
defer t.mutex.RUnlock()
// If no invalid indices were give we should return the root
// identity matrix.
if len(invalidIndices) == 0 {
return t.root.matrix
}
// Recursively search for the inverted matrix in the tree, passing in
// 0 as the parent index as we start at the root of the tree.
return t.root.getInvertedMatrix(invalidIndices, 0)
}
// errAlreadySet is returned if the root node matrix is overwritten
var errAlreadySet = errors.New("the root node identity matrix is already set")
// InsertInvertedMatrix inserts a new inverted matrix into the tree
// keyed by the indices of invalid rows. The total number of shards
// is required for creating the proper length lists of child nodes for
// each node.
func (t inversionTree) InsertInvertedMatrix(invalidIndices []int, matrix matrix, shards int) error {
// If no invalid indices were given then we are done because the
// root node is already set with the identity matrix.
if len(invalidIndices) == 0 {
return errAlreadySet
}
if !matrix.IsSquare() {
return errNotSquare
}
// Lock the tree for writing and reading before accessing the tree.
t.mutex.Lock()
defer t.mutex.Unlock()
// Recursively create nodes for the inverted matrix in the tree until
// we reach the node to insert the matrix to. We start by passing in
// 0 as the parent index as we start at the root of the tree.
t.root.insertInvertedMatrix(invalidIndices, matrix, shards, 0)
return nil
}
func (n inversionNode) getInvertedMatrix(invalidIndices []int, parent int) matrix {
// Get the child node to search next from the list of children. The
// list of children starts relative to the parent index passed in
// because the indices of invalid rows is sorted (by default). As we
// search recursively, the first invalid index gets popped off the list,
// so when searching through the list of children, use that first invalid
// index to find the child node.
firstIndex := invalidIndices[0]
node := n.children[firstIndex-parent]
// If the child node doesn't exist in the list yet, fail fast by
// returning, so we can construct and insert the proper inverted matrix.
if node == nil {
return nil
}
// If there's more than one invalid index left in the list we should
// keep searching recursively.
if len(invalidIndices) > 1 {
// Search recursively on the child node by passing in the invalid indices
// with the first index popped off the front. Also the parent index to
// pass down is the first index plus one.
return node.getInvertedMatrix(invalidIndices[1:], firstIndex+1)
}
// If there aren't any more invalid indices to search, we've found our
// node. Return it, however keep in mind that the matrix could still be
// nil because intermediary nodes in the tree are created sometimes with
// their inversion matrices uninitialized.
return node.matrix
}
func (n inversionNode) insertInvertedMatrix(invalidIndices []int, matrix matrix, shards, parent int) {
// As above, get the child node to search next from the list of children.
// The list of children starts relative to the parent index passed in
// because the indices of invalid rows is sorted (by default). As we
// search recursively, the first invalid index gets popped off the list,
// so when searching through the list of children, use that first invalid
// index to find the child node.
firstIndex := invalidIndices[0]
node := n.children[firstIndex-parent]
// If the child node doesn't exist in the list yet, create a new
// node because we have the writer lock and add it to the list
// of children.
if node == nil {
// Make the length of the list of children equal to the number
// of shards minus the first invalid index because the list of
// invalid indices is sorted, so only this length of errors
// are possible in the tree.
node = &inversionNode{
children: make([]*inversionNode, shards-firstIndex),
}
// Insert the new node into the tree at the first index relative
// to the parent index that was given in this recursive call.
n.children[firstIndex-parent] = node
}
// If there's more than one invalid index left in the list we should
// keep searching recursively in order to find the node to add our
// matrix.
if len(invalidIndices) > 1 {
// As above, search recursively on the child node by passing in
// the invalid indices with the first index popped off the front.
// Also the total number of shards and parent index are passed down
// which is equal to the first index plus one.
node.insertInvertedMatrix(invalidIndices[1:], matrix, shards, firstIndex+1)
} else {
// If there aren't any more invalid indices to search, we've found our
// node. Cache the inverted matrix in this node.
node.matrix = matrix
}
}

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/**
* Matrix Algebra over an 8-bit Galois Field
*
* Copyright 2015, Klaus Post
* Copyright 2015, Backblaze, Inc.
*/
package reedsolomon
import (
"errors"
"fmt"
"strconv"
"strings"
)
// byte[row][col]
type matrix [][]byte
// newMatrix returns a matrix of zeros.
func newMatrix(rows, cols int) (matrix, error) {
if rows <= 0 {
return nil, errInvalidRowSize
}
if cols <= 0 {
return nil, errInvalidColSize
}
m := matrix(make([][]byte, rows))
for i := range m {
m[i] = make([]byte, cols)
}
return m, nil
}
// NewMatrixData initializes a matrix with the given row-major data.
// Note that data is not copied from input.
func newMatrixData(data [][]byte) (matrix, error) {
m := matrix(data)
err := m.Check()
if err != nil {
return nil, err
}
return m, nil
}
// IdentityMatrix returns an identity matrix of the given size.
func identityMatrix(size int) (matrix, error) {
m, err := newMatrix(size, size)
if err != nil {
return nil, err
}
for i := range m {
m[i][i] = 1
}
return m, nil
}
// errInvalidRowSize will be returned if attempting to create a matrix with negative or zero row number.
var errInvalidRowSize = errors.New("invalid row size")
// errInvalidColSize will be returned if attempting to create a matrix with negative or zero column number.
var errInvalidColSize = errors.New("invalid column size")
// errColSizeMismatch is returned if the size of matrix columns mismatch.
var errColSizeMismatch = errors.New("column size is not the same for all rows")
func (m matrix) Check() error {
rows := len(m)
if rows <= 0 {
return errInvalidRowSize
}
cols := len(m[0])
if cols <= 0 {
return errInvalidColSize
}
for _, col := range m {
if len(col) != cols {
return errColSizeMismatch
}
}
return nil
}
// String returns a human-readable string of the matrix contents.
//
// Example: [[1, 2], [3, 4]]
func (m matrix) String() string {
rowOut := make([]string, 0, len(m))
for _, row := range m {
colOut := make([]string, 0, len(row))
for _, col := range row {
colOut = append(colOut, strconv.Itoa(int(col)))
}
rowOut = append(rowOut, "["+strings.Join(colOut, ", ")+"]")
}
return "[" + strings.Join(rowOut, ", ") + "]"
}
// Multiply multiplies this matrix (the one on the left) by another
// matrix (the one on the right) and returns a new matrix with the result.
func (m matrix) Multiply(right matrix) (matrix, error) {
if len(m[0]) != len(right) {
return nil, fmt.Errorf("columns on left (%d) is different than rows on right (%d)", len(m[0]), len(right))
}
result, _ := newMatrix(len(m), len(right[0]))
for r, row := range result {
for c := range row {
var value byte
for i := range m[0] {
value ^= galMultiply(m[r][i], right[i][c])
}
result[r][c] = value
}
}
return result, nil
}
// Augment returns the concatenation of this matrix and the matrix on the right.
func (m matrix) Augment(right matrix) (matrix, error) {
if len(m) != len(right) {
return nil, errMatrixSize
}
result, _ := newMatrix(len(m), len(m[0])+len(right[0]))
for r, row := range m {
for c := range row {
result[r][c] = m[r][c]
}
cols := len(m[0])
for c := range right[0] {
result[r][cols+c] = right[r][c]
}
}
return result, nil
}
// errMatrixSize is returned if matrix dimensions are doesn't match.
var errMatrixSize = errors.New("matrix sizes do not match")
func (m matrix) SameSize(n matrix) error {
if len(m) != len(n) {
return errMatrixSize
}
for i := range m {
if len(m[i]) != len(n[i]) {
return errMatrixSize
}
}
return nil
}
// SubMatrix returns a part of this matrix. Data is copied.
func (m matrix) SubMatrix(rmin, cmin, rmax, cmax int) (matrix, error) {
result, err := newMatrix(rmax-rmin, cmax-cmin)
if err != nil {
return nil, err
}
// OPTME: If used heavily, use copy function to copy slice
for r := rmin; r < rmax; r++ {
for c := cmin; c < cmax; c++ {
result[r-rmin][c-cmin] = m[r][c]
}
}
return result, nil
}
// SwapRows Exchanges two rows in the matrix.
func (m matrix) SwapRows(r1, r2 int) error {
if r1 < 0 || len(m) <= r1 || r2 < 0 || len(m) <= r2 {
return errInvalidRowSize
}
m[r2], m[r1] = m[r1], m[r2]
return nil
}
// IsSquare will return true if the matrix is square
// and nil if the matrix is square
func (m matrix) IsSquare() bool {
return len(m) == len(m[0])
}
// errSingular is returned if the matrix is singular and cannot be inversed
var errSingular = errors.New("matrix is singular")
// errNotSquare is returned if attempting to inverse a non-square matrix.
var errNotSquare = errors.New("only square matrices can be inverted")
// Invert returns the inverse of this matrix.
// Returns ErrSingular when the matrix is singular and doesn't have an inverse.
// The matrix must be square, otherwise ErrNotSquare is returned.
func (m matrix) Invert() (matrix, error) {
if !m.IsSquare() {
return nil, errNotSquare
}
size := len(m)
work, _ := identityMatrix(size)
work, _ = m.Augment(work)
err := work.gaussianElimination()
if err != nil {
return nil, err
}
return work.SubMatrix(0, size, size, size*2)
}
func (m matrix) gaussianElimination() error {
rows := len(m)
columns := len(m[0])
// Clear out the part below the main diagonal and scale the main
// diagonal to be 1.
for r := 0; r < rows; r++ {
// If the element on the diagonal is 0, find a row below
// that has a non-zero and swap them.
if m[r][r] == 0 {
for rowBelow := r + 1; rowBelow < rows; rowBelow++ {
if m[rowBelow][r] != 0 {
m.SwapRows(r, rowBelow)
break
}
}
}
// If we couldn't find one, the matrix is singular.
if m[r][r] == 0 {
return errSingular
}
// Scale to 1.
if m[r][r] != 1 {
scale := galDivide(1, m[r][r])
for c := 0; c < columns; c++ {
m[r][c] = galMultiply(m[r][c], scale)
}
}
// Make everything below the 1 be a 0 by subtracting
// a multiple of it. (Subtraction and addition are
// both exclusive or in the Galois field.)
for rowBelow := r + 1; rowBelow < rows; rowBelow++ {
if m[rowBelow][r] != 0 {
scale := m[rowBelow][r]
for c := 0; c < columns; c++ {
m[rowBelow][c] ^= galMultiply(scale, m[r][c])
}
}
}
}
// Now clear the part above the main diagonal.
for d := 0; d < rows; d++ {
for rowAbove := 0; rowAbove < d; rowAbove++ {
if m[rowAbove][d] != 0 {
scale := m[rowAbove][d]
for c := 0; c < columns; c++ {
m[rowAbove][c] ^= galMultiply(scale, m[d][c])
}
}
}
}
return nil
}
// Create a Vandermonde matrix, which is guaranteed to have the
// property that any subset of rows that forms a square matrix
// is invertible.
func vandermonde(rows, cols int) (matrix, error) {
result, err := newMatrix(rows, cols)
if err != nil {
return nil, err
}
for r, row := range result {
for c := range row {
result[r][c] = galExp(byte(r), c)
}
}
return result, nil
}

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package reedsolomon
import (
"runtime"
"github.com/klauspost/cpuid"
)
// Option allows to override processing parameters.
type Option func(*options)
type options struct {
maxGoroutines int
minSplitSize int
useAVX512, useAVX2, useSSSE3, useSSE2 bool
usePAR1Matrix bool
useCauchy bool
shardSize int
}
var defaultOptions = options{
maxGoroutines: 384,
minSplitSize: 1024,
}
func init() {
if runtime.GOMAXPROCS(0) <= 1 {
defaultOptions.maxGoroutines = 1
}
// Detect CPU capabilities.
defaultOptions.useSSSE3 = cpuid.CPU.SSSE3()
defaultOptions.useSSE2 = cpuid.CPU.SSE2()
defaultOptions.useAVX2 = cpuid.CPU.AVX2()
defaultOptions.useAVX512 = cpuid.CPU.AVX512F() && cpuid.CPU.AVX512BW() && amd64
}
// WithMaxGoroutines is the maximum number of goroutines number for encoding & decoding.
// Jobs will be split into this many parts, unless each goroutine would have to process
// less than minSplitSize bytes (set with WithMinSplitSize).
// For the best speed, keep this well above the GOMAXPROCS number for more fine grained
// scheduling.
// If n <= 0, it is ignored.
func WithMaxGoroutines(n int) Option {
return func(o *options) {
if n > 0 {
o.maxGoroutines = n
}
}
}
// WithAutoGoroutines will adjust the number of goroutines for optimal speed with a
// specific shard size.
// Send in the shard size you expect to send. Other shard sizes will work, but may not
// run at the optimal speed.
// Overwrites WithMaxGoroutines.
// If shardSize <= 0, it is ignored.
func WithAutoGoroutines(shardSize int) Option {
return func(o *options) {
o.shardSize = shardSize
}
}
// WithMinSplitSize is the minimum encoding size in bytes per goroutine.
// See WithMaxGoroutines on how jobs are split.
// If n <= 0, it is ignored.
func WithMinSplitSize(n int) Option {
return func(o *options) {
if n > 0 {
o.minSplitSize = n
}
}
}
func withSSE3(enabled bool) Option {
return func(o *options) {
o.useSSSE3 = enabled
}
}
func withAVX2(enabled bool) Option {
return func(o *options) {
o.useAVX2 = enabled
}
}
func withSSE2(enabled bool) Option {
return func(o *options) {
o.useSSE2 = enabled
}
}
func withAVX512(enabled bool) Option {
return func(o *options) {
o.useAVX512 = enabled
}
}
// WithPAR1Matrix causes the encoder to build the matrix how PARv1
// does. Note that the method they use is buggy, and may lead to cases
// where recovery is impossible, even if there are enough parity
// shards.
func WithPAR1Matrix() Option {
return func(o *options) {
o.usePAR1Matrix = true
o.useCauchy = false
}
}
// WithCauchyMatrix will make the encoder build a Cauchy style matrix.
// The output of this is not compatible with the standard output.
// A Cauchy matrix is faster to generate. This does not affect data throughput,
// but will result in slightly faster start-up time.
func WithCauchyMatrix() Option {
return func(o *options) {
o.useCauchy = true
o.usePAR1Matrix = false
}
}

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/**
* Reed-Solomon Coding over 8-bit values.
*
* Copyright 2015, Klaus Post
* Copyright 2015, Backblaze, Inc.
*/
// Package reedsolomon enables Erasure Coding in Go
//
// For usage and examples, see https://github.com/klauspost/reedsolomon
//
package reedsolomon
import (
"bytes"
"errors"
"io"
"runtime"
"sync"
"github.com/klauspost/cpuid"
)
// Encoder is an interface to encode Reed-Salomon parity sets for your data.
type Encoder interface {
// Encode parity for a set of data shards.
// Input is 'shards' containing data shards followed by parity shards.
// The number of shards must match the number given to New().
// Each shard is a byte array, and they must all be the same size.
// The parity shards will always be overwritten and the data shards
// will remain the same, so it is safe for you to read from the
// data shards while this is running.
Encode(shards [][]byte) error
// Verify returns true if the parity shards contain correct data.
// The data is the same format as Encode. No data is modified, so
// you are allowed to read from data while this is running.
Verify(shards [][]byte) (bool, error)
// Reconstruct will recreate the missing shards if possible.
//
// Given a list of shards, some of which contain data, fills in the
// ones that don't have data.
//
// The length of the array must be equal to the total number of shards.
// You indicate that a shard is missing by setting it to nil or zero-length.
// If a shard is zero-length but has sufficient capacity, that memory will
// be used, otherwise a new []byte will be allocated.
//
// If there are too few shards to reconstruct the missing
// ones, ErrTooFewShards will be returned.
//
// The reconstructed shard set is complete, but integrity is not verified.
// Use the Verify function to check if data set is ok.
Reconstruct(shards [][]byte) error
// ReconstructData will recreate any missing data shards, if possible.
//
// Given a list of shards, some of which contain data, fills in the
// data shards that don't have data.
//
// The length of the array must be equal to Shards.
// You indicate that a shard is missing by setting it to nil or zero-length.
// If a shard is zero-length but has sufficient capacity, that memory will
// be used, otherwise a new []byte will be allocated.
//
// If there are too few shards to reconstruct the missing
// ones, ErrTooFewShards will be returned.
//
// As the reconstructed shard set may contain missing parity shards,
// calling the Verify function is likely to fail.
ReconstructData(shards [][]byte) error
// Update parity is use for change a few data shards and update it's parity.
// Input 'newDatashards' containing data shards changed.
// Input 'shards' containing old data shards (if data shard not changed, it can be nil) and old parity shards.
// new parity shards will in shards[DataShards:]
// Update is very useful if DataShards much larger than ParityShards and changed data shards is few. It will
// faster than Encode and not need read all data shards to encode.
Update(shards [][]byte, newDatashards [][]byte) error
// Split a data slice into the number of shards given to the encoder,
// and create empty parity shards.
//
// The data will be split into equally sized shards.
// If the data size isn't dividable by the number of shards,
// the last shard will contain extra zeros.
//
// There must be at least 1 byte otherwise ErrShortData will be
// returned.
//
// The data will not be copied, except for the last shard, so you
// should not modify the data of the input slice afterwards.
Split(data []byte) ([][]byte, error)
// Join the shards and write the data segment to dst.
//
// Only the data shards are considered.
// You must supply the exact output size you want.
// If there are to few shards given, ErrTooFewShards will be returned.
// If the total data size is less than outSize, ErrShortData will be returned.
Join(dst io.Writer, shards [][]byte, outSize int) error
}
// reedSolomon contains a matrix for a specific
// distribution of datashards and parity shards.
// Construct if using New()
type reedSolomon struct {
DataShards int // Number of data shards, should not be modified.
ParityShards int // Number of parity shards, should not be modified.
Shards int // Total number of shards. Calculated, and should not be modified.
m matrix
tree inversionTree
parity [][]byte
o options
}
// ErrInvShardNum will be returned by New, if you attempt to create
// an Encoder where either data or parity shards is zero or less.
var ErrInvShardNum = errors.New("cannot create Encoder with zero or less data/parity shards")
// ErrMaxShardNum will be returned by New, if you attempt to create an
// Encoder where data and parity shards are bigger than the order of
// GF(2^8).
var ErrMaxShardNum = errors.New("cannot create Encoder with more than 256 data+parity shards")
// buildMatrix creates the matrix to use for encoding, given the
// number of data shards and the number of total shards.
//
// The top square of the matrix is guaranteed to be an identity
// matrix, which means that the data shards are unchanged after
// encoding.
func buildMatrix(dataShards, totalShards int) (matrix, error) {
// Start with a Vandermonde matrix. This matrix would work,
// in theory, but doesn't have the property that the data
// shards are unchanged after encoding.
vm, err := vandermonde(totalShards, dataShards)
if err != nil {
return nil, err
}
// Multiply by the inverse of the top square of the matrix.
// This will make the top square be the identity matrix, but
// preserve the property that any square subset of rows is
// invertible.
top, err := vm.SubMatrix(0, 0, dataShards, dataShards)
if err != nil {
return nil, err
}
topInv, err := top.Invert()
if err != nil {
return nil, err
}
return vm.Multiply(topInv)
}
// buildMatrixPAR1 creates the matrix to use for encoding according to
// the PARv1 spec, given the number of data shards and the number of
// total shards. Note that the method they use is buggy, and may lead
// to cases where recovery is impossible, even if there are enough
// parity shards.
//
// The top square of the matrix is guaranteed to be an identity
// matrix, which means that the data shards are unchanged after
// encoding.
func buildMatrixPAR1(dataShards, totalShards int) (matrix, error) {
result, err := newMatrix(totalShards, dataShards)
if err != nil {
return nil, err
}
for r, row := range result {
// The top portion of the matrix is the identity
// matrix, and the bottom is a transposed Vandermonde
// matrix starting at 1 instead of 0.
if r < dataShards {
result[r][r] = 1
} else {
for c := range row {
result[r][c] = galExp(byte(c+1), r-dataShards)
}
}
}
return result, nil
}
func buildMatrixCauchy(dataShards, totalShards int) (matrix, error) {
result, err := newMatrix(totalShards, dataShards)
if err != nil {
return nil, err
}
for r, row := range result {
// The top portion of the matrix is the identity
// matrix, and the bottom is a transposed Cauchy matrix.
if r < dataShards {
result[r][r] = 1
} else {
for c := range row {
result[r][c] = invTable[(byte(r ^ c))]
}
}
}
return result, nil
}
// New creates a new encoder and initializes it to
// the number of data shards and parity shards that
// you want to use. You can reuse this encoder.
// Note that the maximum number of total shards is 256.
// If no options are supplied, default options are used.
func New(dataShards, parityShards int, opts ...Option) (Encoder, error) {
r := reedSolomon{
DataShards: dataShards,
ParityShards: parityShards,
Shards: dataShards + parityShards,
o: defaultOptions,
}
for _, opt := range opts {
opt(&r.o)
}
if dataShards <= 0 || parityShards <= 0 {
return nil, ErrInvShardNum
}
if dataShards+parityShards > 256 {
return nil, ErrMaxShardNum
}
var err error
switch {
case r.o.useCauchy:
r.m, err = buildMatrixCauchy(dataShards, r.Shards)
case r.o.usePAR1Matrix:
r.m, err = buildMatrixPAR1(dataShards, r.Shards)
default:
r.m, err = buildMatrix(dataShards, r.Shards)
}
if err != nil {
return nil, err
}
if r.o.shardSize > 0 {
cacheSize := cpuid.CPU.Cache.L2
if cacheSize <= 0 {
// Set to 128K if undetectable.
cacheSize = 128 << 10
}
p := runtime.NumCPU()
// 1 input + parity must fit in cache, and we add one more to be safer.
shards := 1 + parityShards
g := (r.o.shardSize * shards) / (cacheSize - (cacheSize >> 4))
if cpuid.CPU.ThreadsPerCore > 1 {
// If multiple threads per core, make sure they don't contend for cache.
g *= cpuid.CPU.ThreadsPerCore
}
g *= 2
if g < p {
g = p
}
// Have g be multiple of p
g += p - 1
g -= g % p
r.o.maxGoroutines = g
}
// Inverted matrices are cached in a tree keyed by the indices
// of the invalid rows of the data to reconstruct.
// The inversion root node will have the identity matrix as
// its inversion matrix because it implies there are no errors
// with the original data.
r.tree = newInversionTree(dataShards, parityShards)
r.parity = make([][]byte, parityShards)
for i := range r.parity {
r.parity[i] = r.m[dataShards+i]
}
return &r, err
}
// ErrTooFewShards is returned if too few shards where given to
// Encode/Verify/Reconstruct/Update. It will also be returned from Reconstruct
// if there were too few shards to reconstruct the missing data.
var ErrTooFewShards = errors.New("too few shards given")
// Encodes parity for a set of data shards.
// An array 'shards' containing data shards followed by parity shards.
// The number of shards must match the number given to New.
// Each shard is a byte array, and they must all be the same size.
// The parity shards will always be overwritten and the data shards
// will remain the same.
func (r reedSolomon) Encode(shards [][]byte) error {
if len(shards) != r.Shards {
return ErrTooFewShards
}
err := checkShards(shards, false)
if err != nil {
return err
}
// Get the slice of output buffers.
output := shards[r.DataShards:]
// Do the coding.
r.codeSomeShards(r.parity, shards[0:r.DataShards], output, r.ParityShards, len(shards[0]))
return nil
}
// ErrInvalidInput is returned if invalid input parameter of Update.
var ErrInvalidInput = errors.New("invalid input")
func (r reedSolomon) Update(shards [][]byte, newDatashards [][]byte) error {
if len(shards) != r.Shards {
return ErrTooFewShards
}
if len(newDatashards) != r.DataShards {
return ErrTooFewShards
}
err := checkShards(shards, true)
if err != nil {
return err
}
err = checkShards(newDatashards, true)
if err != nil {
return err
}
for i := range newDatashards {
if newDatashards[i] != nil && shards[i] == nil {
return ErrInvalidInput
}
}
for _, p := range shards[r.DataShards:] {
if p == nil {
return ErrInvalidInput
}
}
shardSize := shardSize(shards)
// Get the slice of output buffers.
output := shards[r.DataShards:]
// Do the coding.
r.updateParityShards(r.parity, shards[0:r.DataShards], newDatashards[0:r.DataShards], output, r.ParityShards, shardSize)
return nil
}
func (r reedSolomon) updateParityShards(matrixRows, oldinputs, newinputs, outputs [][]byte, outputCount, byteCount int) {
if r.o.maxGoroutines > 1 && byteCount > r.o.minSplitSize {
r.updateParityShardsP(matrixRows, oldinputs, newinputs, outputs, outputCount, byteCount)
return
}
for c := 0; c < r.DataShards; c++ {
in := newinputs[c]
if in == nil {
continue
}
oldin := oldinputs[c]
// oldinputs data will be change
sliceXor(in, oldin, r.o.useSSE2)
for iRow := 0; iRow < outputCount; iRow++ {
galMulSliceXor(matrixRows[iRow][c], oldin, outputs[iRow], &r.o)
}
}
}
func (r reedSolomon) updateParityShardsP(matrixRows, oldinputs, newinputs, outputs [][]byte, outputCount, byteCount int) {
var wg sync.WaitGroup
do := byteCount / r.o.maxGoroutines
if do < r.o.minSplitSize {
do = r.o.minSplitSize
}
start := 0
for start < byteCount {
if start+do > byteCount {
do = byteCount - start
}
wg.Add(1)
go func(start, stop int) {
for c := 0; c < r.DataShards; c++ {
in := newinputs[c]
if in == nil {
continue
}
oldin := oldinputs[c]
// oldinputs data will be change
sliceXor(in[start:stop], oldin[start:stop], r.o.useSSE2)
for iRow := 0; iRow < outputCount; iRow++ {
galMulSliceXor(matrixRows[iRow][c], oldin[start:stop], outputs[iRow][start:stop], &r.o)
}
}
wg.Done()
}(start, start+do)
start += do
}
wg.Wait()
}
// Verify returns true if the parity shards contain the right data.
// The data is the same format as Encode. No data is modified.
func (r reedSolomon) Verify(shards [][]byte) (bool, error) {
if len(shards) != r.Shards {
return false, ErrTooFewShards
}
err := checkShards(shards, false)
if err != nil {
return false, err
}
// Slice of buffers being checked.
toCheck := shards[r.DataShards:]
// Do the checking.
return r.checkSomeShards(r.parity, shards[0:r.DataShards], toCheck, r.ParityShards, len(shards[0])), nil
}
// Multiplies a subset of rows from a coding matrix by a full set of
// input shards to produce some output shards.
// 'matrixRows' is The rows from the matrix to use.
// 'inputs' An array of byte arrays, each of which is one input shard.
// The number of inputs used is determined by the length of each matrix row.
// outputs Byte arrays where the computed shards are stored.
// The number of outputs computed, and the
// number of matrix rows used, is determined by
// outputCount, which is the number of outputs to compute.
func (r reedSolomon) codeSomeShards(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) {
if r.o.useAVX512 && len(inputs) >= 4 && len(outputs) >= 2 {
r.codeSomeShardsAvx512(matrixRows, inputs, outputs, outputCount, byteCount)
return
} else if r.o.maxGoroutines > 1 && byteCount > r.o.minSplitSize {
r.codeSomeShardsP(matrixRows, inputs, outputs, outputCount, byteCount)
return
}
for c := 0; c < r.DataShards; c++ {
in := inputs[c]
for iRow := 0; iRow < outputCount; iRow++ {
if c == 0 {
galMulSlice(matrixRows[iRow][c], in, outputs[iRow], &r.o)
} else {
galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow], &r.o)
}
}
}
}
// Perform the same as codeSomeShards, but split the workload into
// several goroutines.
func (r reedSolomon) codeSomeShardsP(matrixRows, inputs, outputs [][]byte, outputCount, byteCount int) {
var wg sync.WaitGroup
do := byteCount / r.o.maxGoroutines
if do < r.o.minSplitSize {
do = r.o.minSplitSize
}
// Make sizes divisible by 32
do = (do + 31) & (^31)
start := 0
for start < byteCount {
if start+do > byteCount {
do = byteCount - start
}
wg.Add(1)
go func(start, stop int) {
for c := 0; c < r.DataShards; c++ {
in := inputs[c][start:stop]
for iRow := 0; iRow < outputCount; iRow++ {
if c == 0 {
galMulSlice(matrixRows[iRow][c], in, outputs[iRow][start:stop], &r.o)
} else {
galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow][start:stop], &r.o)
}
}
}
wg.Done()
}(start, start+do)
start += do
}
wg.Wait()
}
// checkSomeShards is mostly the same as codeSomeShards,
// except this will check values and return
// as soon as a difference is found.
func (r reedSolomon) checkSomeShards(matrixRows, inputs, toCheck [][]byte, outputCount, byteCount int) bool {
if r.o.maxGoroutines > 1 && byteCount > r.o.minSplitSize {
return r.checkSomeShardsP(matrixRows, inputs, toCheck, outputCount, byteCount)
}
outputs := make([][]byte, len(toCheck))
for i := range outputs {
outputs[i] = make([]byte, byteCount)
}
for c := 0; c < r.DataShards; c++ {
in := inputs[c]
for iRow := 0; iRow < outputCount; iRow++ {
galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow], &r.o)
}
}
for i, calc := range outputs {
if !bytes.Equal(calc, toCheck[i]) {
return false
}
}
return true
}
func (r reedSolomon) checkSomeShardsP(matrixRows, inputs, toCheck [][]byte, outputCount, byteCount int) bool {
same := true
var mu sync.RWMutex // For above
var wg sync.WaitGroup
do := byteCount / r.o.maxGoroutines
if do < r.o.minSplitSize {
do = r.o.minSplitSize
}
// Make sizes divisible by 32
do = (do + 31) & (^31)
start := 0
for start < byteCount {
if start+do > byteCount {
do = byteCount - start
}
wg.Add(1)
go func(start, do int) {
defer wg.Done()
outputs := make([][]byte, len(toCheck))
for i := range outputs {
outputs[i] = make([]byte, do)
}
for c := 0; c < r.DataShards; c++ {
mu.RLock()
if !same {
mu.RUnlock()
return
}
mu.RUnlock()
in := inputs[c][start : start+do]
for iRow := 0; iRow < outputCount; iRow++ {
galMulSliceXor(matrixRows[iRow][c], in, outputs[iRow], &r.o)
}
}
for i, calc := range outputs {
if !bytes.Equal(calc, toCheck[i][start:start+do]) {
mu.Lock()
same = false
mu.Unlock()
return
}
}
}(start, do)
start += do
}
wg.Wait()
return same
}
// ErrShardNoData will be returned if there are no shards,
// or if the length of all shards is zero.
var ErrShardNoData = errors.New("no shard data")
// ErrShardSize is returned if shard length isn't the same for all
// shards.
var ErrShardSize = errors.New("shard sizes do not match")
// checkShards will check if shards are the same size
// or 0, if allowed. An error is returned if this fails.
// An error is also returned if all shards are size 0.
func checkShards(shards [][]byte, nilok bool) error {
size := shardSize(shards)
if size == 0 {
return ErrShardNoData
}
for _, shard := range shards {
if len(shard) != size {
if len(shard) != 0 || !nilok {
return ErrShardSize
}
}
}
return nil
}
// shardSize return the size of a single shard.
// The first non-zero size is returned,
// or 0 if all shards are size 0.
func shardSize(shards [][]byte) int {
for _, shard := range shards {
if len(shard) != 0 {
return len(shard)
}
}
return 0
}
// Reconstruct will recreate the missing shards, if possible.
//
// Given a list of shards, some of which contain data, fills in the
// ones that don't have data.
//
// The length of the array must be equal to Shards.
// You indicate that a shard is missing by setting it to nil or zero-length.
// If a shard is zero-length but has sufficient capacity, that memory will
// be used, otherwise a new []byte will be allocated.
//
// If there are too few shards to reconstruct the missing
// ones, ErrTooFewShards will be returned.
//
// The reconstructed shard set is complete, but integrity is not verified.
// Use the Verify function to check if data set is ok.
func (r reedSolomon) Reconstruct(shards [][]byte) error {
return r.reconstruct(shards, false)
}
// ReconstructData will recreate any missing data shards, if possible.
//
// Given a list of shards, some of which contain data, fills in the
// data shards that don't have data.
//
// The length of the array must be equal to Shards.
// You indicate that a shard is missing by setting it to nil or zero-length.
// If a shard is zero-length but has sufficient capacity, that memory will
// be used, otherwise a new []byte will be allocated.
//
// If there are too few shards to reconstruct the missing
// ones, ErrTooFewShards will be returned.
//
// As the reconstructed shard set may contain missing parity shards,
// calling the Verify function is likely to fail.
func (r reedSolomon) ReconstructData(shards [][]byte) error {
return r.reconstruct(shards, true)
}
// reconstruct will recreate the missing data shards, and unless
// dataOnly is true, also the missing parity shards
//
// The length of the array must be equal to Shards.
// You indicate that a shard is missing by setting it to nil.
//
// If there are too few shards to reconstruct the missing
// ones, ErrTooFewShards will be returned.
func (r reedSolomon) reconstruct(shards [][]byte, dataOnly bool) error {
if len(shards) != r.Shards {
return ErrTooFewShards
}
// Check arguments.
err := checkShards(shards, true)
if err != nil {
return err
}
shardSize := shardSize(shards)
// Quick check: are all of the shards present? If so, there's
// nothing to do.
numberPresent := 0
dataPresent := 0
for i := 0; i < r.Shards; i++ {
if len(shards[i]) != 0 {
numberPresent++
if i < r.DataShards {
dataPresent++
}
}
}
if numberPresent == r.Shards || dataOnly && dataPresent == r.DataShards {
// Cool. All of the shards data data. We don't
// need to do anything.
return nil
}
// More complete sanity check
if numberPresent < r.DataShards {
return ErrTooFewShards
}
// Pull out an array holding just the shards that
// correspond to the rows of the submatrix. These shards
// will be the input to the decoding process that re-creates
// the missing data shards.
//
// Also, create an array of indices of the valid rows we do have
// and the invalid rows we don't have up until we have enough valid rows.
subShards := make([][]byte, r.DataShards)
validIndices := make([]int, r.DataShards)
invalidIndices := make([]int, 0)
subMatrixRow := 0
for matrixRow := 0; matrixRow < r.Shards && subMatrixRow < r.DataShards; matrixRow++ {
if len(shards[matrixRow]) != 0 {
subShards[subMatrixRow] = shards[matrixRow]
validIndices[subMatrixRow] = matrixRow
subMatrixRow++
} else {
invalidIndices = append(invalidIndices, matrixRow)
}
}
// Attempt to get the cached inverted matrix out of the tree
// based on the indices of the invalid rows.
dataDecodeMatrix := r.tree.GetInvertedMatrix(invalidIndices)
// If the inverted matrix isn't cached in the tree yet we must
// construct it ourselves and insert it into the tree for the
// future. In this way the inversion tree is lazily loaded.
if dataDecodeMatrix == nil {
// Pull out the rows of the matrix that correspond to the
// shards that we have and build a square matrix. This
// matrix could be used to generate the shards that we have
// from the original data.
subMatrix, _ := newMatrix(r.DataShards, r.DataShards)
for subMatrixRow, validIndex := range validIndices {
for c := 0; c < r.DataShards; c++ {
subMatrix[subMatrixRow][c] = r.m[validIndex][c]
}
}
// Invert the matrix, so we can go from the encoded shards
// back to the original data. Then pull out the row that
// generates the shard that we want to decode. Note that
// since this matrix maps back to the original data, it can
// be used to create a data shard, but not a parity shard.
dataDecodeMatrix, err = subMatrix.Invert()
if err != nil {
return err
}
// Cache the inverted matrix in the tree for future use keyed on the
// indices of the invalid rows.
err = r.tree.InsertInvertedMatrix(invalidIndices, dataDecodeMatrix, r.Shards)
if err != nil {
return err
}
}
// Re-create any data shards that were missing.
//
// The input to the coding is all of the shards we actually
// have, and the output is the missing data shards. The computation
// is done using the special decode matrix we just built.
outputs := make([][]byte, r.ParityShards)
matrixRows := make([][]byte, r.ParityShards)
outputCount := 0
for iShard := 0; iShard < r.DataShards; iShard++ {
if len(shards[iShard]) == 0 {
if cap(shards[iShard]) >= shardSize {
shards[iShard] = shards[iShard][0:shardSize]
} else {
shards[iShard] = make([]byte, shardSize)
}
outputs[outputCount] = shards[iShard]
matrixRows[outputCount] = dataDecodeMatrix[iShard]
outputCount++
}
}
r.codeSomeShards(matrixRows, subShards, outputs[:outputCount], outputCount, shardSize)
if dataOnly {
// Exit out early if we are only interested in the data shards
return nil
}
// Now that we have all of the data shards intact, we can
// compute any of the parity that is missing.
//
// The input to the coding is ALL of the data shards, including
// any that we just calculated. The output is whichever of the
// data shards were missing.
outputCount = 0
for iShard := r.DataShards; iShard < r.Shards; iShard++ {
if len(shards[iShard]) == 0 {
if cap(shards[iShard]) >= shardSize {
shards[iShard] = shards[iShard][0:shardSize]
} else {
shards[iShard] = make([]byte, shardSize)
}
outputs[outputCount] = shards[iShard]
matrixRows[outputCount] = r.parity[iShard-r.DataShards]
outputCount++
}
}
r.codeSomeShards(matrixRows, shards[:r.DataShards], outputs[:outputCount], outputCount, shardSize)
return nil
}
// ErrShortData will be returned by Split(), if there isn't enough data
// to fill the number of shards.
var ErrShortData = errors.New("not enough data to fill the number of requested shards")
// Split a data slice into the number of shards given to the encoder,
// and create empty parity shards if necessary.
//
// The data will be split into equally sized shards.
// If the data size isn't divisible by the number of shards,
// the last shard will contain extra zeros.
//
// There must be at least 1 byte otherwise ErrShortData will be
// returned.
//
// The data will not be copied, except for the last shard, so you
// should not modify the data of the input slice afterwards.
func (r reedSolomon) Split(data []byte) ([][]byte, error) {
if len(data) == 0 {
return nil, ErrShortData
}
// Calculate number of bytes per data shard.
perShard := (len(data) + r.DataShards - 1) / r.DataShards
if cap(data) > len(data) {
data = data[:cap(data)]
}
// Only allocate memory if necessary
var padding []byte
if len(data) < (r.Shards * perShard) {
// calculate maximum number of full shards in `data` slice
fullShards := len(data) / perShard
padding = make([]byte, r.Shards*perShard-perShard*fullShards)
copy(padding, data[perShard*fullShards:])
data = data[0 : perShard*fullShards]
}
// Split into equal-length shards.
dst := make([][]byte, r.Shards)
i := 0
for ; i < len(dst) && len(data) >= perShard; i++ {
dst[i] = data[:perShard:perShard]
data = data[perShard:]
}
for j := 0; i+j < len(dst); j++ {
dst[i+j] = padding[:perShard:perShard]
padding = padding[perShard:]
}
return dst, nil
}
// ErrReconstructRequired is returned if too few data shards are intact and a
// reconstruction is required before you can successfully join the shards.
var ErrReconstructRequired = errors.New("reconstruction required as one or more required data shards are nil")
// Join the shards and write the data segment to dst.
//
// Only the data shards are considered.
// You must supply the exact output size you want.
//
// If there are to few shards given, ErrTooFewShards will be returned.
// If the total data size is less than outSize, ErrShortData will be returned.
// If one or more required data shards are nil, ErrReconstructRequired will be returned.
func (r reedSolomon) Join(dst io.Writer, shards [][]byte, outSize int) error {
// Do we have enough shards?
if len(shards) < r.DataShards {
return ErrTooFewShards
}
shards = shards[:r.DataShards]
// Do we have enough data?
size := 0
for _, shard := range shards {
if shard == nil {
return ErrReconstructRequired
}
size += len(shard)
// Do we have enough data already?
if size >= outSize {
break
}
}
if size < outSize {
return ErrShortData
}
// Copy data to dst
write := outSize
for _, shard := range shards {
if write < len(shard) {
_, err := dst.Write(shard[:write])
return err
}
n, err := dst.Write(shard)
if err != nil {
return err
}
write -= n
}
return nil
}

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vendor/github.com/klauspost/reedsolomon/streaming.go generated vendored Normal file
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@ -0,0 +1,582 @@
/**
* Reed-Solomon Coding over 8-bit values.
*
* Copyright 2015, Klaus Post
* Copyright 2015, Backblaze, Inc.
*/
package reedsolomon
import (
"bytes"
"errors"
"fmt"
"io"
"sync"
)
// StreamEncoder is an interface to encode Reed-Salomon parity sets for your data.
// It provides a fully streaming interface, and processes data in blocks of up to 4MB.
//
// For small shard sizes, 10MB and below, it is recommended to use the in-memory interface,
// since the streaming interface has a start up overhead.
//
// For all operations, no readers and writers should not assume any order/size of
// individual reads/writes.
//
// For usage examples, see "stream-encoder.go" and "streamdecoder.go" in the examples
// folder.
type StreamEncoder interface {
// Encode parity shards for a set of data shards.
//
// Input is 'shards' containing readers for data shards followed by parity shards
// io.Writer.
//
// The number of shards must match the number given to NewStream().
//
// Each reader must supply the same number of bytes.
//
// The parity shards will be written to the writer.
// The number of bytes written will match the input size.
//
// If a data stream returns an error, a StreamReadError type error
// will be returned. If a parity writer returns an error, a
// StreamWriteError will be returned.
Encode(data []io.Reader, parity []io.Writer) error
// Verify returns true if the parity shards contain correct data.
//
// The number of shards must match the number total data+parity shards
// given to NewStream().
//
// Each reader must supply the same number of bytes.
// If a shard stream returns an error, a StreamReadError type error
// will be returned.
Verify(shards []io.Reader) (bool, error)
// Reconstruct will recreate the missing shards if possible.
//
// Given a list of valid shards (to read) and invalid shards (to write)
//
// You indicate that a shard is missing by setting it to nil in the 'valid'
// slice and at the same time setting a non-nil writer in "fill".
// An index cannot contain both non-nil 'valid' and 'fill' entry.
// If both are provided 'ErrReconstructMismatch' is returned.
//
// If there are too few shards to reconstruct the missing
// ones, ErrTooFewShards will be returned.
//
// The reconstructed shard set is complete, but integrity is not verified.
// Use the Verify function to check if data set is ok.
Reconstruct(valid []io.Reader, fill []io.Writer) error
// Split a an input stream into the number of shards given to the encoder.
//
// The data will be split into equally sized shards.
// If the data size isn't dividable by the number of shards,
// the last shard will contain extra zeros.
//
// You must supply the total size of your input.
// 'ErrShortData' will be returned if it is unable to retrieve the
// number of bytes indicated.
Split(data io.Reader, dst []io.Writer, size int64) (err error)
// Join the shards and write the data segment to dst.
//
// Only the data shards are considered.
//
// You must supply the exact output size you want.
// If there are to few shards given, ErrTooFewShards will be returned.
// If the total data size is less than outSize, ErrShortData will be returned.
Join(dst io.Writer, shards []io.Reader, outSize int64) error
}
// StreamReadError is returned when a read error is encountered
// that relates to a supplied stream.
// This will allow you to find out which reader has failed.
type StreamReadError struct {
Err error // The error
Stream int // The stream number on which the error occurred
}
// Error returns the error as a string
func (s StreamReadError) Error() string {
return fmt.Sprintf("error reading stream %d: %s", s.Stream, s.Err)
}
// String returns the error as a string
func (s StreamReadError) String() string {
return s.Error()
}
// StreamWriteError is returned when a write error is encountered
// that relates to a supplied stream. This will allow you to
// find out which reader has failed.
type StreamWriteError struct {
Err error // The error
Stream int // The stream number on which the error occurred
}
// Error returns the error as a string
func (s StreamWriteError) Error() string {
return fmt.Sprintf("error writing stream %d: %s", s.Stream, s.Err)
}
// String returns the error as a string
func (s StreamWriteError) String() string {
return s.Error()
}
// rsStream contains a matrix for a specific
// distribution of datashards and parity shards.
// Construct if using NewStream()
type rsStream struct {
r *reedSolomon
bs int // Block size
// Shard reader
readShards func(dst [][]byte, in []io.Reader) error
// Shard writer
writeShards func(out []io.Writer, in [][]byte) error
}
// NewStream creates a new encoder and initializes it to
// the number of data shards and parity shards that
// you want to use. You can reuse this encoder.
// Note that the maximum number of data shards is 256.
func NewStream(dataShards, parityShards int, o ...Option) (StreamEncoder, error) {
enc, err := New(dataShards, parityShards, o...)
if err != nil {
return nil, err
}
rs := enc.(*reedSolomon)
r := rsStream{r: rs, bs: 4 << 20}
r.readShards = readShards
r.writeShards = writeShards
return &r, err
}
// NewStreamC creates a new encoder and initializes it to
// the number of data shards and parity shards given.
//
// This functions as 'NewStream', but allows you to enable CONCURRENT reads and writes.
func NewStreamC(dataShards, parityShards int, conReads, conWrites bool, o ...Option) (StreamEncoder, error) {
enc, err := New(dataShards, parityShards, o...)
if err != nil {
return nil, err
}
rs := enc.(*reedSolomon)
r := rsStream{r: rs, bs: 4 << 20}
r.readShards = readShards
r.writeShards = writeShards
if conReads {
r.readShards = cReadShards
}
if conWrites {
r.writeShards = cWriteShards
}
return &r, err
}
func createSlice(n, length int) [][]byte {
out := make([][]byte, n)
for i := range out {
out[i] = make([]byte, length)
}
return out
}
// Encodes parity shards for a set of data shards.
//
// Input is 'shards' containing readers for data shards followed by parity shards
// io.Writer.
//
// The number of shards must match the number given to NewStream().
//
// Each reader must supply the same number of bytes.
//
// The parity shards will be written to the writer.
// The number of bytes written will match the input size.
//
// If a data stream returns an error, a StreamReadError type error
// will be returned. If a parity writer returns an error, a
// StreamWriteError will be returned.
func (r rsStream) Encode(data []io.Reader, parity []io.Writer) error {
if len(data) != r.r.DataShards {
return ErrTooFewShards
}
if len(parity) != r.r.ParityShards {
return ErrTooFewShards
}
all := createSlice(r.r.Shards, r.bs)
in := all[:r.r.DataShards]
out := all[r.r.DataShards:]
read := 0
for {
err := r.readShards(in, data)
switch err {
case nil:
case io.EOF:
if read == 0 {
return ErrShardNoData
}
return nil
default:
return err
}
out = trimShards(out, shardSize(in))
read += shardSize(in)
err = r.r.Encode(all)
if err != nil {
return err
}
err = r.writeShards(parity, out)
if err != nil {
return err
}
}
}
// Trim the shards so they are all the same size
func trimShards(in [][]byte, size int) [][]byte {
for i := range in {
if in[i] != nil {
in[i] = in[i][0:size]
}
if len(in[i]) < size {
in[i] = nil
}
}
return in
}
func readShards(dst [][]byte, in []io.Reader) error {
if len(in) != len(dst) {
panic("internal error: in and dst size do not match")
}
size := -1
for i := range in {
if in[i] == nil {
dst[i] = nil
continue
}
n, err := io.ReadFull(in[i], dst[i])
// The error is EOF only if no bytes were read.
// If an EOF happens after reading some but not all the bytes,
// ReadFull returns ErrUnexpectedEOF.
switch err {
case io.ErrUnexpectedEOF, io.EOF:
if size < 0 {
size = n
} else if n != size {
// Shard sizes must match.
return ErrShardSize
}
dst[i] = dst[i][0:n]
case nil:
continue
default:
return StreamReadError{Err: err, Stream: i}
}
}
if size == 0 {
return io.EOF
}
return nil
}
func writeShards(out []io.Writer, in [][]byte) error {
if len(out) != len(in) {
panic("internal error: in and out size do not match")
}
for i := range in {
if out[i] == nil {
continue
}
n, err := out[i].Write(in[i])
if err != nil {
return StreamWriteError{Err: err, Stream: i}
}
//
if n != len(in[i]) {
return StreamWriteError{Err: io.ErrShortWrite, Stream: i}
}
}
return nil
}
type readResult struct {
n int
size int
err error
}
// cReadShards reads shards concurrently
func cReadShards(dst [][]byte, in []io.Reader) error {
if len(in) != len(dst) {
panic("internal error: in and dst size do not match")
}
var wg sync.WaitGroup
wg.Add(len(in))
res := make(chan readResult, len(in))
for i := range in {
if in[i] == nil {
dst[i] = nil
wg.Done()
continue
}
go func(i int) {
defer wg.Done()
n, err := io.ReadFull(in[i], dst[i])
// The error is EOF only if no bytes were read.
// If an EOF happens after reading some but not all the bytes,
// ReadFull returns ErrUnexpectedEOF.
res <- readResult{size: n, err: err, n: i}
}(i)
}
wg.Wait()
close(res)
size := -1
for r := range res {
switch r.err {
case io.ErrUnexpectedEOF, io.EOF:
if size < 0 {
size = r.size
} else if r.size != size {
// Shard sizes must match.
return ErrShardSize
}
dst[r.n] = dst[r.n][0:r.size]
case nil:
default:
return StreamReadError{Err: r.err, Stream: r.n}
}
}
if size == 0 {
return io.EOF
}
return nil
}
// cWriteShards writes shards concurrently
func cWriteShards(out []io.Writer, in [][]byte) error {
if len(out) != len(in) {
panic("internal error: in and out size do not match")
}
var errs = make(chan error, len(out))
var wg sync.WaitGroup
wg.Add(len(out))
for i := range in {
go func(i int) {
defer wg.Done()
if out[i] == nil {
errs <- nil
return
}
n, err := out[i].Write(in[i])
if err != nil {
errs <- StreamWriteError{Err: err, Stream: i}
return
}
if n != len(in[i]) {
errs <- StreamWriteError{Err: io.ErrShortWrite, Stream: i}
}
}(i)
}
wg.Wait()
close(errs)
for err := range errs {
if err != nil {
return err
}
}
return nil
}
// Verify returns true if the parity shards contain correct data.
//
// The number of shards must match the number total data+parity shards
// given to NewStream().
//
// Each reader must supply the same number of bytes.
// If a shard stream returns an error, a StreamReadError type error
// will be returned.
func (r rsStream) Verify(shards []io.Reader) (bool, error) {
if len(shards) != r.r.Shards {
return false, ErrTooFewShards
}
read := 0
all := createSlice(r.r.Shards, r.bs)
for {
err := r.readShards(all, shards)
if err == io.EOF {
if read == 0 {
return false, ErrShardNoData
}
return true, nil
}
if err != nil {
return false, err
}
read += shardSize(all)
ok, err := r.r.Verify(all)
if !ok || err != nil {
return ok, err
}
}
}
// ErrReconstructMismatch is returned by the StreamEncoder, if you supply
// "valid" and "fill" streams on the same index.
// Therefore it is impossible to see if you consider the shard valid
// or would like to have it reconstructed.
var ErrReconstructMismatch = errors.New("valid shards and fill shards are mutually exclusive")
// Reconstruct will recreate the missing shards if possible.
//
// Given a list of valid shards (to read) and invalid shards (to write)
//
// You indicate that a shard is missing by setting it to nil in the 'valid'
// slice and at the same time setting a non-nil writer in "fill".
// An index cannot contain both non-nil 'valid' and 'fill' entry.
//
// If there are too few shards to reconstruct the missing
// ones, ErrTooFewShards will be returned.
//
// The reconstructed shard set is complete when explicitly asked for all missing shards.
// However its integrity is not automatically verified.
// Use the Verify function to check in case the data set is complete.
func (r rsStream) Reconstruct(valid []io.Reader, fill []io.Writer) error {
if len(valid) != r.r.Shards {
return ErrTooFewShards
}
if len(fill) != r.r.Shards {
return ErrTooFewShards
}
all := createSlice(r.r.Shards, r.bs)
reconDataOnly := true
for i := range valid {
if valid[i] != nil && fill[i] != nil {
return ErrReconstructMismatch
}
if i >= r.r.DataShards && fill[i] != nil {
reconDataOnly = false
}
}
read := 0
for {
err := r.readShards(all, valid)
if err == io.EOF {
if read == 0 {
return ErrShardNoData
}
return nil
}
if err != nil {
return err
}
read += shardSize(all)
all = trimShards(all, shardSize(all))
if reconDataOnly {
err = r.r.ReconstructData(all) // just reconstruct missing data shards
} else {
err = r.r.Reconstruct(all) // reconstruct all missing shards
}
if err != nil {
return err
}
err = r.writeShards(fill, all)
if err != nil {
return err
}
}
}
// Join the shards and write the data segment to dst.
//
// Only the data shards are considered.
//
// You must supply the exact output size you want.
// If there are to few shards given, ErrTooFewShards will be returned.
// If the total data size is less than outSize, ErrShortData will be returned.
func (r rsStream) Join(dst io.Writer, shards []io.Reader, outSize int64) error {
// Do we have enough shards?
if len(shards) < r.r.DataShards {
return ErrTooFewShards
}
// Trim off parity shards if any
shards = shards[:r.r.DataShards]
for i := range shards {
if shards[i] == nil {
return StreamReadError{Err: ErrShardNoData, Stream: i}
}
}
// Join all shards
src := io.MultiReader(shards...)
// Copy data to dst
n, err := io.CopyN(dst, src, outSize)
if err == io.EOF {
return ErrShortData
}
if err != nil {
return err
}
if n != outSize {
return ErrShortData
}
return nil
}
// Split a an input stream into the number of shards given to the encoder.
//
// The data will be split into equally sized shards.
// If the data size isn't dividable by the number of shards,
// the last shard will contain extra zeros.
//
// You must supply the total size of your input.
// 'ErrShortData' will be returned if it is unable to retrieve the
// number of bytes indicated.
func (r rsStream) Split(data io.Reader, dst []io.Writer, size int64) error {
if size == 0 {
return ErrShortData
}
if len(dst) != r.r.DataShards {
return ErrInvShardNum
}
for i := range dst {
if dst[i] == nil {
return StreamWriteError{Err: ErrShardNoData, Stream: i}
}
}
// Calculate number of bytes per shard.
perShard := (size + int64(r.r.DataShards) - 1) / int64(r.r.DataShards)
// Pad data to r.Shards*perShard.
padding := make([]byte, (int64(r.r.Shards)*perShard)-size)
data = io.MultiReader(data, bytes.NewBuffer(padding))
// Split into equal-length shards and copy.
for i := range dst {
n, err := io.CopyN(dst[i], data, perShard)
if err != io.EOF && err != nil {
return err
}
if n != perShard {
return ErrShortData
}
}
return nil
}

4
vendor/github.com/kr/pty/.gitignore generated vendored Normal file
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@ -0,0 +1,4 @@
[568].out
_go*
_test*
_obj

23
vendor/github.com/kr/pty/License generated vendored Normal file
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@ -0,0 +1,23 @@
Copyright (c) 2011 Keith Rarick
Permission is hereby granted, free of charge, to any person
obtaining a copy of this software and associated
documentation files (the "Software"), to deal in the
Software without restriction, including without limitation
the rights to use, copy, modify, merge, publish, distribute,
sublicense, and/or sell copies of the Software, and to
permit persons to whom the Software is furnished to do so,
subject to the following conditions:
The above copyright notice and this permission notice shall
be included in all copies or substantial portions of the
Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY
KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE
WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS
OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR
OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

100
vendor/github.com/kr/pty/README.md generated vendored Normal file
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# pty
Pty is a Go package for using unix pseudo-terminals.
## Install
go get github.com/kr/pty
## Example
### Command
```go
package main
import (
"github.com/kr/pty"
"io"
"os"
"os/exec"
)
func main() {
c := exec.Command("grep", "--color=auto", "bar")
f, err := pty.Start(c)
if err != nil {
panic(err)
}
go func() {
f.Write([]byte("foo\n"))
f.Write([]byte("bar\n"))
f.Write([]byte("baz\n"))
f.Write([]byte{4}) // EOT
}()
io.Copy(os.Stdout, f)
}
```
### Shell
```go
package main
import (
"io"
"log"
"os"
"os/exec"
"os/signal"
"syscall"
"github.com/kr/pty"
"golang.org/x/crypto/ssh/terminal"
)
func test() error {
// Create arbitrary command.
c := exec.Command("bash")
// Start the command with a pty.
ptmx, err := pty.Start(c)
if err != nil {
return err
}
// Make sure to close the pty at the end.
defer func() { _ = ptmx.Close() }() // Best effort.
// Handle pty size.
ch := make(chan os.Signal, 1)
signal.Notify(ch, syscall.SIGWINCH)
go func() {
for range ch {
if err := pty.InheritSize(os.Stdin, ptmx); err != nil {
log.Printf("error resizing pty: %s", err)
}
}
}()
ch <- syscall.SIGWINCH // Initial resize.
// Set stdin in raw mode.
oldState, err := terminal.MakeRaw(int(os.Stdin.Fd()))
if err != nil {
panic(err)
}
defer func() { _ = terminal.Restore(int(os.Stdin.Fd()), oldState) }() // Best effort.
// Copy stdin to the pty and the pty to stdout.
go func() { _, _ = io.Copy(ptmx, os.Stdin) }()
_, _ = io.Copy(os.Stdout, ptmx)
return nil
}
func main() {
if err := test(); err != nil {
log.Fatal(err)
}
}
```

16
vendor/github.com/kr/pty/doc.go generated vendored Normal file
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// Package pty provides functions for working with Unix terminals.
package pty
import (
"errors"
"os"
)
// ErrUnsupported is returned if a function is not
// available on the current platform.
var ErrUnsupported = errors.New("unsupported")
// Opens a pty and its corresponding tty.
func Open() (pty, tty *os.File, err error) {
return open()
}

1
vendor/github.com/kr/pty/go.mod generated vendored Normal file
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@ -0,0 +1 @@
module github.com/kr/pty

13
vendor/github.com/kr/pty/ioctl.go generated vendored Normal file
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@ -0,0 +1,13 @@
// +build !windows
package pty
import "syscall"
func ioctl(fd, cmd, ptr uintptr) error {
_, _, e := syscall.Syscall(syscall.SYS_IOCTL, fd, cmd, ptr)
if e != 0 {
return e
}
return nil
}

39
vendor/github.com/kr/pty/ioctl_bsd.go generated vendored Normal file
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@ -0,0 +1,39 @@
// +build darwin dragonfly freebsd netbsd openbsd
package pty
// from <sys/ioccom.h>
const (
_IOC_VOID uintptr = 0x20000000
_IOC_OUT uintptr = 0x40000000
_IOC_IN uintptr = 0x80000000
_IOC_IN_OUT uintptr = _IOC_OUT | _IOC_IN
_IOC_DIRMASK = _IOC_VOID | _IOC_OUT | _IOC_IN
_IOC_PARAM_SHIFT = 13
_IOC_PARAM_MASK = (1 << _IOC_PARAM_SHIFT) - 1
)
func _IOC_PARM_LEN(ioctl uintptr) uintptr {
return (ioctl >> 16) & _IOC_PARAM_MASK
}
func _IOC(inout uintptr, group byte, ioctl_num uintptr, param_len uintptr) uintptr {
return inout | (param_len&_IOC_PARAM_MASK)<<16 | uintptr(group)<<8 | ioctl_num
}
func _IO(group byte, ioctl_num uintptr) uintptr {
return _IOC(_IOC_VOID, group, ioctl_num, 0)
}
func _IOR(group byte, ioctl_num uintptr, param_len uintptr) uintptr {
return _IOC(_IOC_OUT, group, ioctl_num, param_len)
}
func _IOW(group byte, ioctl_num uintptr, param_len uintptr) uintptr {
return _IOC(_IOC_IN, group, ioctl_num, param_len)
}
func _IOWR(group byte, ioctl_num uintptr, param_len uintptr) uintptr {
return _IOC(_IOC_IN_OUT, group, ioctl_num, param_len)
}

19
vendor/github.com/kr/pty/mktypes.bash generated vendored Normal file
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@ -0,0 +1,19 @@
#!/usr/bin/env bash
GOOSARCH="${GOOS}_${GOARCH}"
case "$GOOSARCH" in
_* | *_ | _)
echo 'undefined $GOOS_$GOARCH:' "$GOOSARCH" 1>&2
exit 1
;;
esac
GODEFS="go tool cgo -godefs"
$GODEFS types.go |gofmt > ztypes_$GOARCH.go
case $GOOS in
freebsd|dragonfly|openbsd)
$GODEFS types_$GOOS.go |gofmt > ztypes_$GOOSARCH.go
;;
esac

65
vendor/github.com/kr/pty/pty_darwin.go generated vendored Normal file
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@ -0,0 +1,65 @@
package pty
import (
"errors"
"os"
"syscall"
"unsafe"
)
func open() (pty, tty *os.File, err error) {
pFD, err := syscall.Open("/dev/ptmx", syscall.O_RDWR|syscall.O_CLOEXEC, 0)
if err != nil {
return nil, nil, err
}
p := os.NewFile(uintptr(pFD), "/dev/ptmx")
// In case of error after this point, make sure we close the ptmx fd.
defer func() {
if err != nil {
_ = p.Close() // Best effort.
}
}()
sname, err := ptsname(p)
if err != nil {
return nil, nil, err
}
if err := grantpt(p); err != nil {
return nil, nil, err
}
if err := unlockpt(p); err != nil {
return nil, nil, err
}
t, err := os.OpenFile(sname, os.O_RDWR, 0)
if err != nil {
return nil, nil, err
}
return p, t, nil
}
func ptsname(f *os.File) (string, error) {
n := make([]byte, _IOC_PARM_LEN(syscall.TIOCPTYGNAME))
err := ioctl(f.Fd(), syscall.TIOCPTYGNAME, uintptr(unsafe.Pointer(&n[0])))
if err != nil {
return "", err
}
for i, c := range n {
if c == 0 {
return string(n[:i]), nil
}
}
return "", errors.New("TIOCPTYGNAME string not NUL-terminated")
}
func grantpt(f *os.File) error {
return ioctl(f.Fd(), syscall.TIOCPTYGRANT, 0)
}
func unlockpt(f *os.File) error {
return ioctl(f.Fd(), syscall.TIOCPTYUNLK, 0)
}

80
vendor/github.com/kr/pty/pty_dragonfly.go generated vendored Normal file
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@ -0,0 +1,80 @@
package pty
import (
"errors"
"os"
"strings"
"syscall"
"unsafe"
)
// same code as pty_darwin.go
func open() (pty, tty *os.File, err error) {
p, err := os.OpenFile("/dev/ptmx", os.O_RDWR, 0)
if err != nil {
return nil, nil, err
}
// In case of error after this point, make sure we close the ptmx fd.
defer func() {
if err != nil {
_ = p.Close() // Best effort.
}
}()
sname, err := ptsname(p)
if err != nil {
return nil, nil, err
}
if err := grantpt(p); err != nil {
return nil, nil, err
}
if err := unlockpt(p); err != nil {
return nil, nil, err
}
t, err := os.OpenFile(sname, os.O_RDWR, 0)
if err != nil {
return nil, nil, err
}
return p, t, nil
}
func grantpt(f *os.File) error {
_, err := isptmaster(f.Fd())
return err
}
func unlockpt(f *os.File) error {
_, err := isptmaster(f.Fd())
return err
}
func isptmaster(fd uintptr) (bool, error) {
err := ioctl(fd, syscall.TIOCISPTMASTER, 0)
return err == nil, err
}
var (
emptyFiodgnameArg fiodgnameArg
ioctl_FIODNAME = _IOW('f', 120, unsafe.Sizeof(emptyFiodgnameArg))
)
func ptsname(f *os.File) (string, error) {
name := make([]byte, _C_SPECNAMELEN)
fa := fiodgnameArg{Name: (*byte)(unsafe.Pointer(&name[0])), Len: _C_SPECNAMELEN, Pad_cgo_0: [4]byte{0, 0, 0, 0}}
err := ioctl(f.Fd(), ioctl_FIODNAME, uintptr(unsafe.Pointer(&fa)))
if err != nil {
return "", err
}
for i, c := range name {
if c == 0 {
s := "/dev/" + string(name[:i])
return strings.Replace(s, "ptm", "pts", -1), nil
}
}
return "", errors.New("TIOCPTYGNAME string not NUL-terminated")
}

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