mirror of https://gogs.blitter.com/RLabs/xs
1/3 Updated Makefile to allow VENDOR flag (adds -vendor to version string)
2/3 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
3/3 Moved body of CI push script into bacillus/
This commit is contained in:
Russ Magee
parent
7fe915450b
commit
f5be3578a8
15
Makefile
15
Makefile
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@ -5,9 +5,18 @@
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#endif
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#endif
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GIT_COMMIT := $(shell git rev-list -1 HEAD)
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GIT_COMMIT := $(shell git rev-list -1 HEAD)
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VERSION := 0.8.11
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VERSION := 0.8.12
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ifneq ($(VENDOR),)
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GOBUILDOPTS :=-v -mod vendor
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VTAG = "-vendor"
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else
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GOBUILDOPTS=
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VTAG =
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endif
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#ifeq ($(BUILDOPTS),)
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#ifeq ($(BUILDOPTS),)
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BUILDOPTS :=$(BUILDOPTS)" -ldflags \"-X main.version=$(VERSION) -X main.gitCommit=$(GIT_COMMIT)\""
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BUILDOPTS :=$(BUILDOPTS)"$(GOBUILDOPTS) -ldflags \"-X main.version=$(VERSION)$(VTAG) -X main.gitCommit=$(GIT_COMMIT)\""
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#endif
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#endif
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SUBPKGS = logger spinsult xsnet
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SUBPKGS = logger spinsult xsnet
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@ -63,7 +72,7 @@ passwd: common
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vis:
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vis:
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@which go-callvis >/dev/null 2>&1; \
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@which go-callvis >/dev/null 2>&1; \
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stat=$$?; if [ $$stat -ne "0" ]; then \
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stat=$$?; if [ $$stat -ne "0" ]; then \
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/bin/echo "go-callvis not found. Run go get github.com/Russtopia/go-callvis to install."; \
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/bin/echo "go-callvis not found. Run go get https://github.com/TrueFurby/go-callvis to install."; \
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else \
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else \
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make -C xs vis;\
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make -C xs vis;\
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make -C xsd vis;\
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make -C xsd vis;\
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@ -0,0 +1,74 @@
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#!/bin/bash
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export PATH=/usr/local/bin:/usr/bin:/usr/lib/ccache/bin:/bin
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echo "workdir: ${BACILLUS_WORKDIR}"
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mkdir -p "${BACILLUS_ARTFDIR}"
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export GO111MODULE=on
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export GOPATH="${HOME}/go"
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# GOCACHE will be phased out in v1.12. [github.com/golang/go/issues/26809]
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export GOCACHE="${HOME}/.cache/go-build"
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echo "---"
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go env
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echo "---"
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echo "passed env:"
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env
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echo "---"
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cd ${REPO}
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branch=$(git for-each-ref --sort=-committerdate --format='%(refname)' | head -n 1)
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echo "Building most recent push on branch $branch"
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git checkout "$branch"
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ls
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stage "Build"
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make all
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stage "Test(Authtoken)"
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echo "Clearing test user $USER ~/.xs_id file ..."
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rm -f ~/.xs_id
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echo "Setting dummy authtoken in ~/.xs_id ..."
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echo "localhost:asdfasdfasdf" >~/.xs_id
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echo "Performing remote command on @localhost via authtoken login ..."
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tokentest=$(timeout 10 xs -x "echo -n FOO" @localhost)
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if [ "${tokentest}" != "FOO" ]; then
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echo "AUTHTOKEN LOGIN FAILED"
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exit 1
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else
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echo "client cmd performed OK."
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unset tokentest
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fi
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stage "Test(S->C)"
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echo "Testing secure copy from server -> client ..."
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tmpdir=$$
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mkdir -p /tmp/$tmpdir
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cd /tmp/$tmpdir
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xc @localhost:${BACILLUS_WORKDIR}/build/xs/cptest .
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echo -n "Integrity check on copied files (sha1sum) ..."
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sha1sum $(find cptest -type f | sort) >sc.sha1sum
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diff sc.sha1sum ${BACILLUS_WORKDIR}/build/xs/cptest.sha1sum
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stat=$?
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cd -
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rm -rf /tmp/$tmpdir
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if [ $stat -eq "0" ]; then
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echo "OK."
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else
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echo "FAILED!"
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exit $stat
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fi
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stage "Test(C->S)"
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echo "TODO ..."
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stage "Artifacts"
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echo -n "Creating tarfile ..."
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tar -cz --exclude=.git --exclude=cptest -f ${BACILLUS_ARTFDIR}/xs.tgz .
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stage "Cleanup"
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rm -f ~/.xs_id
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echo
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echo "--Done--"
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2
go.mod
2
go.mod
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@ -17,10 +17,12 @@ require (
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github.com/kr/pty v1.1.4
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github.com/kr/pty v1.1.4
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github.com/mattn/go-isatty v0.0.7
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github.com/mattn/go-isatty v0.0.7
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github.com/pkg/errors v0.8.1 // indirect
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github.com/pkg/errors v0.8.1 // indirect
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github.com/stretchr/testify v1.4.0 // indirect
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github.com/templexxx/cpufeat v0.0.0-20180724012125-cef66df7f161 // indirect
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github.com/templexxx/cpufeat v0.0.0-20180724012125-cef66df7f161 // indirect
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github.com/templexxx/xor v0.0.0-20181023030647-4e92f724b73b // indirect
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github.com/templexxx/xor v0.0.0-20181023030647-4e92f724b73b // indirect
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github.com/tjfoc/gmsm v1.0.1 // indirect
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github.com/tjfoc/gmsm v1.0.1 // indirect
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github.com/xtaci/kcp-go v5.4.19+incompatible
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github.com/xtaci/kcp-go v5.4.19+incompatible
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github.com/xtaci/lossyconn v0.0.0-20190602105132-8df528c0c9ae // indirect
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golang.org/x/crypto v0.0.0-20190417174047-f416ebab96af
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golang.org/x/crypto v0.0.0-20190417174047-f416ebab96af
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golang.org/x/net v0.0.0-20191209160850-c0dbc17a3553 // indirect
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golang.org/x/net v0.0.0-20191209160850-c0dbc17a3553 // indirect
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golang.org/x/sys v0.0.0-20190416152802-12500544f89f
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golang.org/x/sys v0.0.0-20190416152802-12500544f89f
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21
go.sum
21
go.sum
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|
@ -4,17 +4,19 @@ blitter.com/go/goutmp v1.0.1 h1:jBqtp6pDwSbF4QEC3DjNfyaS8Nv5dFCOyaTfSbbb7TU=
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blitter.com/go/goutmp v1.0.1/go.mod h1:gtlbjC8xGzMk/Cf0BpnVltSa3awOqJ+B5WAxVptTMxk=
|
blitter.com/go/goutmp v1.0.1/go.mod h1:gtlbjC8xGzMk/Cf0BpnVltSa3awOqJ+B5WAxVptTMxk=
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blitter.com/go/herradurakex v1.0.0 h1:6XaxY+JLT1HUWPF0gYJnjX3pVjrw4YhYZEzZ1U0wkyc=
|
blitter.com/go/herradurakex v1.0.0 h1:6XaxY+JLT1HUWPF0gYJnjX3pVjrw4YhYZEzZ1U0wkyc=
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blitter.com/go/herradurakex v1.0.0/go.mod h1:m3+vYZX+2dDjdo+n/HDnXEYJX9pwmNeQLgAfJM8mtxw=
|
blitter.com/go/herradurakex v1.0.0/go.mod h1:m3+vYZX+2dDjdo+n/HDnXEYJX9pwmNeQLgAfJM8mtxw=
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blitter.com/go/mtwist v1.0.0 h1:/Vg6k12+DC+fokeRrLApL22hZS/EqEazJTo/FDdbDog=
|
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blitter.com/go/mtwist v1.0.0/go.mod h1:aU82Nx8+b1v8oZRNqImfEDzDTPim81rY0ACKAIclV18=
|
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blitter.com/go/mtwist v1.0.1 h1:PxmoWexfMpLmc8neHP/PcRc3s17ct7iz4d5W/qJVt04=
|
blitter.com/go/mtwist v1.0.1 h1:PxmoWexfMpLmc8neHP/PcRc3s17ct7iz4d5W/qJVt04=
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blitter.com/go/mtwist v1.0.1/go.mod h1:aU82Nx8+b1v8oZRNqImfEDzDTPim81rY0ACKAIclV18=
|
blitter.com/go/mtwist v1.0.1/go.mod h1:aU82Nx8+b1v8oZRNqImfEDzDTPim81rY0ACKAIclV18=
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blitter.com/go/wanderer v0.8.0 h1:xT7lKdKLSyonVf0vZW6R46E3gz3B5pJ1VDBlsa4ULDI=
|
blitter.com/go/wanderer v0.8.1 h1:oQw8yASM7iI+S8GIgf3cUFdkJ8Sy/UQxRDJqhTswgwM=
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blitter.com/go/wanderer v0.8.0/go.mod h1:FX1pAnZ5woEavy5CUIZco0/Gc2Msb3U0zsmi+6Hs4Rw=
|
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 h1:bwZNsbw3qFbg6ox55HrA37nPmh+/wtJxZ7uWeiAdUUc=
|
||||||
git.schwanenlied.me/yawning/chacha20.git v0.0.0-20170904085104-e3b1f968fc63/go.mod h1:NYi4Ifd1g/YbhIDgDfw6t7QdsW4tofQWMX/+FiDtJWs=
|
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/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 h1:89TYv/+wotJ+QWrH5B/yN0pEQutr2V/5za0VoYiVGCM=
|
||||||
git.schwanenlied.me/yawning/newhope.git v0.0.0-20170622154529-9598792ba8f2/go.mod h1:weMqACFGzJs4Ni+K9shsRd02N4LkDrtGlkRxISK+II0=
|
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/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 h1:1xAgYebNnsb9LKCdLOvFWtAxGU/33mjJtyOVbmUa0Us=
|
||||||
github.com/klauspost/cpuid v1.2.2/go.mod h1:Pj4uuM528wm8OyEC2QMXAi2YiTZ96dNQPGgoMS4s3ek=
|
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/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 h1:iURUrRGxPUNPdy5/HRSm+Yj6okJ6UtLINN0Q9M4+h3I=
|
||||||
github.com/pkg/errors v0.8.1/go.mod h1:bwawxfHBFNV+L2hUp1rHADufV3IMtnDRdf1r5NINEl0=
|
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 h1:89CEmDvlq/F7SJEOqkIdNDGJXrQIhuIx9D2DBXjavSU=
|
||||||
github.com/templexxx/cpufeat v0.0.0-20180724012125-cef66df7f161/go.mod h1:wM7WEvslTq+iOEAMDLSzhVuOt5BRZ05WirO+b09GHQU=
|
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=
|
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/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 h1:vv7Ar1D9WZGiv6deIOluxrC26Oin/2jFtx8sFU5tlvw=
|
||||||
github.com/xtaci/kcp-go v5.4.19+incompatible/go.mod h1:bN6vIwHQbfHaHtFpEssmWsN45a+AZwO7eyRCmEIbtvE=
|
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 v0.0.0-20190308221718-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 h1:6qGQw30u837TXZbCmLFR9AVA+RjJU1LIbvk0oIkDZGY=
|
||||||
golang.org/x/crypto v0.0.0-20190417174047-f416ebab96af/go.mod h1:WFFai1msRO1wXaEeE5yQxYXgSfI8pQAWXbQop6sCtWE=
|
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 h1:1ZH9RnjNgLzh6YrsRp/c6ddZ8Lq0fq9xztNOoWJ2sz4=
|
||||||
golang.org/x/sys v0.0.0-20190416152802-12500544f89f/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
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=
|
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 h1:ZbfbH7W3giuVDjWUoFhDOjjv20hiPr5HZ2yMV5f9IeE=
|
||||||
gopkg.in/hlandau/easymetric.v1 v1.0.0/go.mod h1:yh75hypuFzAxmvECh3ZKGCvFnIfapYJh2wv7ASaX2RE=
|
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 h1:wH5UZKCRUnRr1iD+xIZfwhtxhmr+bprRJttqA1Rklf4=
|
||||||
gopkg.in/hlandau/measurable.v1 v1.0.1/go.mod h1:6N+SYJGMTmetsx7wskULP+juuO+++tsHJkAgzvzsbuM=
|
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 h1:q5xh9ZHp907XTjVw8/EqG03//fnlITnIYQmv4Gn7TpE=
|
||||||
gopkg.in/hlandau/passlib.v1 v1.0.10/go.mod h1:wxGAv2CtQHlzWY8NJp+p045yl4WHyX7v2T6XbOcmqjM=
|
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=
|
||||||
|
|
|
||||||
|
|
@ -0,0 +1,6 @@
|
||||||
|
[](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)
|
||||||
|
|
@ -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()
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -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.
|
||||||
|
|
@ -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
|
||||||
|
```
|
||||||
|
|
||||||
|
|
@ -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)
|
||||||
|
}
|
||||||
|
|
@ -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
|
||||||
|
giving you legal permission to copy, distribute and/or modify it.
|
||||||
|
|
||||||
|
For the developers' and authors' protection, the GPL clearly explains
|
||||||
|
that there is no warranty for this free software. For both users' and
|
||||||
|
authors' sake, the GPL requires that modified versions be marked as
|
||||||
|
changed, so that their problems will not be attributed erroneously to
|
||||||
|
authors of previous versions.
|
||||||
|
|
||||||
|
Some devices are designed to deny users access to install or run
|
||||||
|
modified versions of the software inside them, although the manufacturer
|
||||||
|
can do so. This is fundamentally incompatible with the aim of
|
||||||
|
protecting users' freedom to change the software. The systematic
|
||||||
|
pattern of such abuse occurs in the area of products for individuals to
|
||||||
|
use, which is precisely where it is most unacceptable. Therefore, we
|
||||||
|
have designed this version of the GPL to prohibit the practice for those
|
||||||
|
products. If such problems arise substantially in other domains, we
|
||||||
|
stand ready to extend this provision to those domains in future versions
|
||||||
|
of the GPL, as needed to protect the freedom of users.
|
||||||
|
|
||||||
|
Finally, every program is threatened constantly by software patents.
|
||||||
|
States should not allow patents to restrict development and use of
|
||||||
|
software on general-purpose computers, but in those that do, we wish to
|
||||||
|
avoid the special danger that patents applied to a free program could
|
||||||
|
make it effectively proprietary. To prevent this, the GPL assures that
|
||||||
|
patents cannot be used to render the program non-free.
|
||||||
|
|
||||||
|
The precise terms and conditions for copying, distribution and
|
||||||
|
modification follow.
|
||||||
|
|
||||||
|
TERMS AND CONDITIONS
|
||||||
|
|
||||||
|
0. Definitions.
|
||||||
|
|
||||||
|
"This License" refers to version 3 of the GNU General Public License.
|
||||||
|
|
||||||
|
"Copyright" also means copyright-like laws that apply to other kinds of
|
||||||
|
works, such as semiconductor masks.
|
||||||
|
|
||||||
|
"The Program" refers to any copyrightable work licensed under this
|
||||||
|
License. Each licensee is addressed as "you". "Licensees" and
|
||||||
|
"recipients" may be individuals or organizations.
|
||||||
|
|
||||||
|
To "modify" a work means to copy from or adapt all or part of the work
|
||||||
|
in a fashion requiring copyright permission, other than the making of an
|
||||||
|
exact copy. The resulting work is called a "modified version" of the
|
||||||
|
earlier work or a work "based on" the earlier work.
|
||||||
|
|
||||||
|
A "covered work" means either the unmodified Program or a work based
|
||||||
|
on the Program.
|
||||||
|
|
||||||
|
To "propagate" a work means to do anything with it that, without
|
||||||
|
permission, would make you directly or secondarily liable for
|
||||||
|
infringement under applicable copyright law, except executing it on a
|
||||||
|
computer or modifying a private copy. Propagation includes copying,
|
||||||
|
distribution (with or without modification), making available to the
|
||||||
|
public, and in some countries other activities as well.
|
||||||
|
|
||||||
|
To "convey" a work means any kind of propagation that enables other
|
||||||
|
parties to make or receive copies. Mere interaction with a user through
|
||||||
|
a computer network, with no transfer of a copy, is not conveying.
|
||||||
|
|
||||||
|
An interactive user interface displays "Appropriate Legal Notices"
|
||||||
|
to the extent that it includes a convenient and prominently visible
|
||||||
|
feature that (1) displays an appropriate copyright notice, and (2)
|
||||||
|
tells the user that there is no warranty for the work (except to the
|
||||||
|
extent that warranties are provided), that licensees may convey the
|
||||||
|
work under this License, and how to view a copy of this License. If
|
||||||
|
the interface presents a list of user commands or options, such as a
|
||||||
|
menu, a prominent item in the list meets this criterion.
|
||||||
|
|
||||||
|
1. Source Code.
|
||||||
|
|
||||||
|
The "source code" for a work means the preferred form of the work
|
||||||
|
for making modifications to it. "Object code" means any non-source
|
||||||
|
form of a work.
|
||||||
|
|
||||||
|
A "Standard Interface" means an interface that either is an official
|
||||||
|
standard defined by a recognized standards body, or, in the case of
|
||||||
|
interfaces specified for a particular programming language, one that
|
||||||
|
is widely used among developers working in that language.
|
||||||
|
|
||||||
|
The "System Libraries" of an executable work include anything, other
|
||||||
|
than the work as a whole, that (a) is included in the normal form of
|
||||||
|
packaging a Major Component, but which is not part of that Major
|
||||||
|
Component, and (b) serves only to enable use of the work with that
|
||||||
|
Major Component, or to implement a Standard Interface for which an
|
||||||
|
implementation is available to the public in source code form. A
|
||||||
|
"Major Component", in this context, means a major essential component
|
||||||
|
(kernel, window system, and so on) of the specific operating system
|
||||||
|
(if any) on which the executable work runs, or a compiler used to
|
||||||
|
produce the work, or an object code interpreter used to run it.
|
||||||
|
|
||||||
|
The "Corresponding Source" for a work in object code form means all
|
||||||
|
the source code needed to generate, install, and (for an executable
|
||||||
|
work) run the object code and to modify the work, including scripts to
|
||||||
|
control those activities. However, it does not include the work's
|
||||||
|
System Libraries, or general-purpose tools or generally available free
|
||||||
|
programs which are used unmodified in performing those activities but
|
||||||
|
which are not part of the work. For example, Corresponding Source
|
||||||
|
includes interface definition files associated with source files for
|
||||||
|
the work, and the source code for shared libraries and dynamically
|
||||||
|
linked subprograms that the work is specifically designed to require,
|
||||||
|
such as by intimate data communication or control flow between those
|
||||||
|
subprograms and other parts of the work.
|
||||||
|
|
||||||
|
The Corresponding Source need not include anything that users
|
||||||
|
can regenerate automatically from other parts of the Corresponding
|
||||||
|
Source.
|
||||||
|
|
||||||
|
The Corresponding Source for a work in source code form is that
|
||||||
|
same work.
|
||||||
|
|
||||||
|
2. Basic Permissions.
|
||||||
|
|
||||||
|
All rights granted under this License are granted for the term of
|
||||||
|
copyright on the Program, and are irrevocable provided the stated
|
||||||
|
conditions are met. This License explicitly affirms your unlimited
|
||||||
|
permission to run the unmodified Program. The output from running a
|
||||||
|
covered work is covered by this License only if the output, given its
|
||||||
|
content, constitutes a covered work. This License acknowledges your
|
||||||
|
rights of fair use or other equivalent, as provided by copyright law.
|
||||||
|
|
||||||
|
You may make, run and propagate covered works that you do not
|
||||||
|
convey, without conditions so long as your license otherwise remains
|
||||||
|
in force. You may convey covered works to others for the sole purpose
|
||||||
|
of having them make modifications exclusively for you, or provide you
|
||||||
|
with facilities for running those works, provided that you comply with
|
||||||
|
the terms of this License in conveying all material for which you do
|
||||||
|
not control copyright. Those thus making or running the covered works
|
||||||
|
for you must do so exclusively on your behalf, under your direction
|
||||||
|
and control, on terms that prohibit them from making any copies of
|
||||||
|
your copyrighted material outside their relationship with you.
|
||||||
|
|
||||||
|
Conveying under any other circumstances is permitted solely under
|
||||||
|
the conditions stated below. Sublicensing is not allowed; section 10
|
||||||
|
makes it unnecessary.
|
||||||
|
|
||||||
|
3. Protecting Users' Legal Rights From Anti-Circumvention Law.
|
||||||
|
|
||||||
|
No covered work shall be deemed part of an effective technological
|
||||||
|
measure under any applicable law fulfilling obligations under article
|
||||||
|
11 of the WIPO copyright treaty adopted on 20 December 1996, or
|
||||||
|
similar laws prohibiting or restricting circumvention of such
|
||||||
|
measures.
|
||||||
|
|
||||||
|
When you convey a covered work, you waive any legal power to forbid
|
||||||
|
circumvention of technological measures to the extent such circumvention
|
||||||
|
is effected by exercising rights under this License with respect to
|
||||||
|
the covered work, and you disclaim any intention to limit operation or
|
||||||
|
modification of the work as a means of enforcing, against the work's
|
||||||
|
users, your or third parties' legal rights to forbid circumvention of
|
||||||
|
technological measures.
|
||||||
|
|
||||||
|
4. Conveying Verbatim Copies.
|
||||||
|
|
||||||
|
You may convey verbatim copies of the Program's source code as you
|
||||||
|
receive it, in any medium, provided that you conspicuously and
|
||||||
|
appropriately publish on each copy an appropriate copyright notice;
|
||||||
|
keep intact all notices stating that this License and any
|
||||||
|
non-permissive terms added in accord with section 7 apply to the code;
|
||||||
|
keep intact all notices of the absence of any warranty; and give all
|
||||||
|
recipients a copy of this License along with the Program.
|
||||||
|
|
||||||
|
You may charge any price or no price for each copy that you convey,
|
||||||
|
and you may offer support or warranty protection for a fee.
|
||||||
|
|
||||||
|
5. Conveying Modified Source Versions.
|
||||||
|
|
||||||
|
You may convey a work based on the Program, or the modifications to
|
||||||
|
produce it from the Program, in the form of source code under the
|
||||||
|
terms of section 4, provided that you also meet all of these conditions:
|
||||||
|
|
||||||
|
a) The work must carry prominent notices stating that you modified
|
||||||
|
it, and giving a relevant date.
|
||||||
|
|
||||||
|
b) The work must carry prominent notices stating that it is
|
||||||
|
released under this License and any conditions added under section
|
||||||
|
7. This requirement modifies the requirement in section 4 to
|
||||||
|
"keep intact all notices".
|
||||||
|
|
||||||
|
c) You must license the entire work, as a whole, under this
|
||||||
|
License to anyone who comes into possession of a copy. This
|
||||||
|
License will therefore apply, along with any applicable section 7
|
||||||
|
additional terms, to the whole of the work, and all its parts,
|
||||||
|
regardless of how they are packaged. This License gives no
|
||||||
|
permission to license the work in any other way, but it does not
|
||||||
|
invalidate such permission if you have separately received it.
|
||||||
|
|
||||||
|
d) If the work has interactive user interfaces, each must display
|
||||||
|
Appropriate Legal Notices; however, if the Program has interactive
|
||||||
|
interfaces that do not display Appropriate Legal Notices, your
|
||||||
|
work need not make them do so.
|
||||||
|
|
||||||
|
A compilation of a covered work with other separate and independent
|
||||||
|
works, which are not by their nature extensions of the covered work,
|
||||||
|
and which are not combined with it such as to form a larger program,
|
||||||
|
in or on a volume of a storage or distribution medium, is called an
|
||||||
|
"aggregate" if the compilation and its resulting copyright are not
|
||||||
|
used to limit the access or legal rights of the compilation's users
|
||||||
|
beyond what the individual works permit. Inclusion of a covered work
|
||||||
|
in an aggregate does not cause this License to apply to the other
|
||||||
|
parts of the aggregate.
|
||||||
|
|
||||||
|
6. Conveying Non-Source Forms.
|
||||||
|
|
||||||
|
You may convey a covered work in object code form under the terms
|
||||||
|
of sections 4 and 5, provided that you also convey the
|
||||||
|
machine-readable Corresponding Source under the terms of this License,
|
||||||
|
in one of these ways:
|
||||||
|
|
||||||
|
a) Convey the object code in, or embodied in, a physical product
|
||||||
|
(including a physical distribution medium), accompanied by the
|
||||||
|
Corresponding Source fixed on a durable physical medium
|
||||||
|
customarily used for software interchange.
|
||||||
|
|
||||||
|
b) Convey the object code in, or embodied in, a physical product
|
||||||
|
(including a physical distribution medium), accompanied by a
|
||||||
|
written offer, valid for at least three years and valid for as
|
||||||
|
long as you offer spare parts or customer support for that product
|
||||||
|
model, to give anyone who possesses the object code either (1) a
|
||||||
|
copy of the Corresponding Source for all the software in the
|
||||||
|
product that is covered by this License, on a durable physical
|
||||||
|
medium customarily used for software interchange, for a price no
|
||||||
|
more than your reasonable cost of physically performing this
|
||||||
|
conveying of source, or (2) access to copy the
|
||||||
|
Corresponding Source from a network server at no charge.
|
||||||
|
|
||||||
|
c) Convey individual copies of the object code with a copy of the
|
||||||
|
written offer to provide the Corresponding Source. This
|
||||||
|
alternative is allowed only occasionally and noncommercially, and
|
||||||
|
only if you received the object code with such an offer, in accord
|
||||||
|
with subsection 6b.
|
||||||
|
|
||||||
|
d) Convey the object code by offering access from a designated
|
||||||
|
place (gratis or for a charge), and offer equivalent access to the
|
||||||
|
Corresponding Source in the same way through the same place at no
|
||||||
|
further charge. You need not require recipients to copy the
|
||||||
|
Corresponding Source along with the object code. If the place to
|
||||||
|
copy the object code is a network server, the Corresponding Source
|
||||||
|
may be on a different server (operated by you or a third party)
|
||||||
|
that supports equivalent copying facilities, provided you maintain
|
||||||
|
clear directions next to the object code saying where to find the
|
||||||
|
Corresponding Source. Regardless of what server hosts the
|
||||||
|
Corresponding Source, you remain obligated to ensure that it is
|
||||||
|
available for as long as needed to satisfy these requirements.
|
||||||
|
|
||||||
|
e) Convey the object code using peer-to-peer transmission, provided
|
||||||
|
you inform other peers where the object code and Corresponding
|
||||||
|
Source of the work are being offered to the general public at no
|
||||||
|
charge under subsection 6d.
|
||||||
|
|
||||||
|
A separable portion of the object code, whose source code is excluded
|
||||||
|
from the Corresponding Source as a System Library, need not be
|
||||||
|
included in conveying the object code work.
|
||||||
|
|
||||||
|
A "User Product" is either (1) a "consumer product", which means any
|
||||||
|
tangible personal property which is normally used for personal, family,
|
||||||
|
or household purposes, or (2) anything designed or sold for incorporation
|
||||||
|
into a dwelling. In determining whether a product is a consumer product,
|
||||||
|
doubtful cases shall be resolved in favor of coverage. For a particular
|
||||||
|
product received by a particular user, "normally used" refers to a
|
||||||
|
typical or common use of that class of product, regardless of the status
|
||||||
|
of the particular user or of the way in which the particular user
|
||||||
|
actually uses, or expects or is expected to use, the product. A product
|
||||||
|
is a consumer product regardless of whether the product has substantial
|
||||||
|
commercial, industrial or non-consumer uses, unless such uses represent
|
||||||
|
the only significant mode of use of the product.
|
||||||
|
|
||||||
|
"Installation Information" for a User Product means any methods,
|
||||||
|
procedures, authorization keys, or other information required to install
|
||||||
|
and execute modified versions of a covered work in that User Product from
|
||||||
|
a modified version of its Corresponding Source. The information must
|
||||||
|
suffice to ensure that the continued functioning of the modified object
|
||||||
|
code is in no case prevented or interfered with solely because
|
||||||
|
modification has been made.
|
||||||
|
|
||||||
|
If you convey an object code work under this section in, or with, or
|
||||||
|
specifically for use in, a User Product, and the conveying occurs as
|
||||||
|
part of a transaction in which the right of possession and use of the
|
||||||
|
User Product is transferred to the recipient in perpetuity or for a
|
||||||
|
fixed term (regardless of how the transaction is characterized), the
|
||||||
|
Corresponding Source conveyed under this section must be accompanied
|
||||||
|
by the Installation Information. But this requirement does not apply
|
||||||
|
if neither you nor any third party retains the ability to install
|
||||||
|
modified object code on the User Product (for example, the work has
|
||||||
|
been installed in ROM).
|
||||||
|
|
||||||
|
The requirement to provide Installation Information does not include a
|
||||||
|
requirement to continue to provide support service, warranty, or updates
|
||||||
|
for a work that has been modified or installed by the recipient, or for
|
||||||
|
the User Product in which it has been modified or installed. Access to a
|
||||||
|
network may be denied when the modification itself materially and
|
||||||
|
adversely affects the operation of the network or violates the rules and
|
||||||
|
protocols for communication across the network.
|
||||||
|
|
||||||
|
Corresponding Source conveyed, and Installation Information provided,
|
||||||
|
in accord with this section must be in a format that is publicly
|
||||||
|
documented (and with an implementation available to the public in
|
||||||
|
source code form), and must require no special password or key for
|
||||||
|
unpacking, reading or copying.
|
||||||
|
|
||||||
|
7. Additional Terms.
|
||||||
|
|
||||||
|
"Additional permissions" are terms that supplement the terms of this
|
||||||
|
License by making exceptions from one or more of its conditions.
|
||||||
|
Additional permissions that are applicable to the entire Program shall
|
||||||
|
be treated as though they were included in this License, to the extent
|
||||||
|
that they are valid under applicable law. If additional permissions
|
||||||
|
apply only to part of the Program, that part may be used separately
|
||||||
|
under those permissions, but the entire Program remains governed by
|
||||||
|
this License without regard to the additional permissions.
|
||||||
|
|
||||||
|
When you convey a copy of a covered work, you may at your option
|
||||||
|
remove any additional permissions from that copy, or from any part of
|
||||||
|
it. (Additional permissions may be written to require their own
|
||||||
|
removal in certain cases when you modify the work.) You may place
|
||||||
|
additional permissions on material, added by you to a covered work,
|
||||||
|
for which you have or can give appropriate copyright permission.
|
||||||
|
|
||||||
|
Notwithstanding any other provision of this License, for material you
|
||||||
|
add to a covered work, you may (if authorized by the copyright holders of
|
||||||
|
that material) supplement the terms of this License with terms:
|
||||||
|
|
||||||
|
a) Disclaiming warranty or limiting liability differently from the
|
||||||
|
terms of sections 15 and 16 of this License; or
|
||||||
|
|
||||||
|
b) Requiring preservation of specified reasonable legal notices or
|
||||||
|
author attributions in that material or in the Appropriate Legal
|
||||||
|
Notices displayed by works containing it; or
|
||||||
|
|
||||||
|
c) Prohibiting misrepresentation of the origin of that material, or
|
||||||
|
requiring that modified versions of such material be marked in
|
||||||
|
reasonable ways as different from the original version; or
|
||||||
|
|
||||||
|
d) Limiting the use for publicity purposes of names of licensors or
|
||||||
|
authors of the material; or
|
||||||
|
|
||||||
|
e) Declining to grant rights under trademark law for use of some
|
||||||
|
trade names, trademarks, or service marks; or
|
||||||
|
|
||||||
|
f) Requiring indemnification of licensors and authors of that
|
||||||
|
material by anyone who conveys the material (or modified versions of
|
||||||
|
it) with contractual assumptions of liability to the recipient, for
|
||||||
|
any liability that these contractual assumptions directly impose on
|
||||||
|
those licensors and authors.
|
||||||
|
|
||||||
|
All other non-permissive additional terms are considered "further
|
||||||
|
restrictions" within the meaning of section 10. If the Program as you
|
||||||
|
received it, or any part of it, contains a notice stating that it is
|
||||||
|
governed by this License along with a term that is a further
|
||||||
|
restriction, you may remove that term. If a license document contains
|
||||||
|
a further restriction but permits relicensing or conveying under this
|
||||||
|
License, you may add to a covered work material governed by the terms
|
||||||
|
of that license document, provided that the further restriction does
|
||||||
|
not survive such relicensing or conveying.
|
||||||
|
|
||||||
|
If you add terms to a covered work in accord with this section, you
|
||||||
|
must place, in the relevant source files, a statement of the
|
||||||
|
additional terms that apply to those files, or a notice indicating
|
||||||
|
where to find the applicable terms.
|
||||||
|
|
||||||
|
Additional terms, permissive or non-permissive, may be stated in the
|
||||||
|
form of a separately written license, or stated as exceptions;
|
||||||
|
the above requirements apply either way.
|
||||||
|
|
||||||
|
8. Termination.
|
||||||
|
|
||||||
|
You may not propagate or modify a covered work except as expressly
|
||||||
|
provided under this License. Any attempt otherwise to propagate or
|
||||||
|
modify it is void, and will automatically terminate your rights under
|
||||||
|
this License (including any patent licenses granted under the third
|
||||||
|
paragraph of section 11).
|
||||||
|
|
||||||
|
However, if you cease all violation of this License, then your
|
||||||
|
license from a particular copyright holder is reinstated (a)
|
||||||
|
provisionally, unless and until the copyright holder explicitly and
|
||||||
|
finally terminates your license, and (b) permanently, if the copyright
|
||||||
|
holder fails to notify you of the violation by some reasonable means
|
||||||
|
prior to 60 days after the cessation.
|
||||||
|
|
||||||
|
Moreover, your license from a particular copyright holder is
|
||||||
|
reinstated permanently if the copyright holder notifies you of the
|
||||||
|
violation by some reasonable means, this is the first time you have
|
||||||
|
received notice of violation of this License (for any work) from that
|
||||||
|
copyright holder, and you cure the violation prior to 30 days after
|
||||||
|
your receipt of the notice.
|
||||||
|
|
||||||
|
Termination of your rights under this section does not terminate the
|
||||||
|
licenses of parties who have received copies or rights from you under
|
||||||
|
this License. If your rights have been terminated and not permanently
|
||||||
|
reinstated, you do not qualify to receive new licenses for the same
|
||||||
|
material under section 10.
|
||||||
|
|
||||||
|
9. Acceptance Not Required for Having Copies.
|
||||||
|
|
||||||
|
You are not required to accept this License in order to receive or
|
||||||
|
run a copy of the Program. Ancillary propagation of a covered work
|
||||||
|
occurring solely as a consequence of using peer-to-peer transmission
|
||||||
|
to receive a copy likewise does not require acceptance. However,
|
||||||
|
nothing other than this License grants you permission to propagate or
|
||||||
|
modify any covered work. These actions infringe copyright if you do
|
||||||
|
not accept this License. Therefore, by modifying or propagating a
|
||||||
|
covered work, you indicate your acceptance of this License to do so.
|
||||||
|
|
||||||
|
10. Automatic Licensing of Downstream Recipients.
|
||||||
|
|
||||||
|
Each time you convey a covered work, the recipient automatically
|
||||||
|
receives a license from the original licensors, to run, modify and
|
||||||
|
propagate that work, subject to this License. You are not responsible
|
||||||
|
for enforcing compliance by third parties with this License.
|
||||||
|
|
||||||
|
An "entity transaction" is a transaction transferring control of an
|
||||||
|
organization, or substantially all assets of one, or subdividing an
|
||||||
|
organization, or merging organizations. If propagation of a covered
|
||||||
|
work results from an entity transaction, each party to that
|
||||||
|
transaction who receives a copy of the work also receives whatever
|
||||||
|
licenses to the work the party's predecessor in interest had or could
|
||||||
|
give under the previous paragraph, plus a right to possession of the
|
||||||
|
Corresponding Source of the work from the predecessor in interest, if
|
||||||
|
the predecessor has it or can get it with reasonable efforts.
|
||||||
|
|
||||||
|
You may not impose any further restrictions on the exercise of the
|
||||||
|
rights granted or affirmed under this License. For example, you may
|
||||||
|
not impose a license fee, royalty, or other charge for exercise of
|
||||||
|
rights granted under this License, and you may not initiate litigation
|
||||||
|
(including a cross-claim or counterclaim in a lawsuit) alleging that
|
||||||
|
any patent claim is infringed by making, using, selling, offering for
|
||||||
|
sale, or importing the Program or any portion of it.
|
||||||
|
|
||||||
|
11. Patents.
|
||||||
|
|
||||||
|
A "contributor" is a copyright holder who authorizes use under this
|
||||||
|
License of the Program or a work on which the Program is based. The
|
||||||
|
work thus licensed is called the contributor's "contributor version".
|
||||||
|
|
||||||
|
A contributor's "essential patent claims" are all patent claims
|
||||||
|
owned or controlled by the contributor, whether already acquired or
|
||||||
|
hereafter acquired, that would be infringed by some manner, permitted
|
||||||
|
by this License, of making, using, or selling its contributor version,
|
||||||
|
but do not include claims that would be infringed only as a
|
||||||
|
consequence of further modification of the contributor version. For
|
||||||
|
purposes of this definition, "control" includes the right to grant
|
||||||
|
patent sublicenses in a manner consistent with the requirements of
|
||||||
|
this License.
|
||||||
|
|
||||||
|
Each contributor grants you a non-exclusive, worldwide, royalty-free
|
||||||
|
patent license under the contributor's essential patent claims, to
|
||||||
|
make, use, sell, offer for sale, import and otherwise run, modify and
|
||||||
|
propagate the contents of its contributor version.
|
||||||
|
|
||||||
|
In the following three paragraphs, a "patent license" is any express
|
||||||
|
agreement or commitment, however denominated, not to enforce a patent
|
||||||
|
(such as an express permission to practice a patent or covenant not to
|
||||||
|
sue for patent infringement). To "grant" such a patent license to a
|
||||||
|
party means to make such an agreement or commitment not to enforce a
|
||||||
|
patent against the party.
|
||||||
|
|
||||||
|
If you convey a covered work, knowingly relying on a patent license,
|
||||||
|
and the Corresponding Source of the work is not available for anyone
|
||||||
|
to copy, free of charge and under the terms of this License, through a
|
||||||
|
publicly available network server or other readily accessible means,
|
||||||
|
then you must either (1) cause the Corresponding Source to be so
|
||||||
|
available, or (2) arrange to deprive yourself of the benefit of the
|
||||||
|
patent license for this particular work, or (3) arrange, in a manner
|
||||||
|
consistent with the requirements of this License, to extend the patent
|
||||||
|
license to downstream recipients. "Knowingly relying" means you have
|
||||||
|
actual knowledge that, but for the patent license, your conveying the
|
||||||
|
covered work in a country, or your recipient's use of the covered work
|
||||||
|
in a country, would infringe one or more identifiable patents in that
|
||||||
|
country that you have reason to believe are valid.
|
||||||
|
|
||||||
|
If, pursuant to or in connection with a single transaction or
|
||||||
|
arrangement, you convey, or propagate by procuring conveyance of, a
|
||||||
|
covered work, and grant a patent license to some of the parties
|
||||||
|
receiving the covered work authorizing them to use, propagate, modify
|
||||||
|
or convey a specific copy of the covered work, then the patent license
|
||||||
|
you grant is automatically extended to all recipients of the covered
|
||||||
|
work and works based on it.
|
||||||
|
|
||||||
|
A patent license is "discriminatory" if it does not include within
|
||||||
|
the scope of its coverage, prohibits the exercise of, or is
|
||||||
|
conditioned on the non-exercise of one or more of the rights that are
|
||||||
|
specifically granted under this License. You may not convey a covered
|
||||||
|
work if you are a party to an arrangement with a third party that is
|
||||||
|
in the business of distributing software, under which you make payment
|
||||||
|
to the third party based on the extent of your activity of conveying
|
||||||
|
the work, and under which the third party grants, to any of the
|
||||||
|
parties who would receive the covered work from you, a discriminatory
|
||||||
|
patent license (a) in connection with copies of the covered work
|
||||||
|
conveyed by you (or copies made from those copies), or (b) primarily
|
||||||
|
for and in connection with specific products or compilations that
|
||||||
|
contain the covered work, unless you entered into that arrangement,
|
||||||
|
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
|
||||||
|
otherwise) that contradict the conditions of this License, they do not
|
||||||
|
excuse you from the conditions of this License. If you cannot convey a
|
||||||
|
covered work so as to satisfy simultaneously your obligations under this
|
||||||
|
License and any other pertinent obligations, then as a consequence you may
|
||||||
|
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
|
||||||
|
combined work, and to convey the resulting work. The terms of this
|
||||||
|
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.
|
||||||
|
|
||||||
|
Each version is given a distinguishing version number. If the
|
||||||
|
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
|
||||||
|
GNU General Public License, you may choose any version ever published
|
||||||
|
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
|
||||||
|
public statement of acceptance of a version permanently authorizes you
|
||||||
|
to choose that version for the Program.
|
||||||
|
|
||||||
|
Later license versions may give you additional or different
|
||||||
|
permissions. However, no additional obligations are imposed on any
|
||||||
|
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>.
|
||||||
|
|
@ -0,0 +1,22 @@
|
||||||
|
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.
|
||||||
|
|
@ -0,0 +1,17 @@
|
||||||
|
.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
|
||||||
|
|
@ -0,0 +1 @@
|
||||||
|
HerraduraKEx - an experimental Key Encapsulation Mechanism
|
||||||
|
|
@ -0,0 +1,182 @@
|
||||||
|
// 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))
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,125 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,210 @@
|
||||||
|
// 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)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,122 @@
|
||||||
|
Creative Commons Legal Code
|
||||||
|
|
||||||
|
CC0 1.0 Universal
|
||||||
|
|
||||||
|
CREATIVE COMMONS CORPORATION IS NOT A LAW FIRM AND DOES NOT PROVIDE
|
||||||
|
LEGAL SERVICES. DISTRIBUTION OF THIS DOCUMENT DOES NOT CREATE AN
|
||||||
|
ATTORNEY-CLIENT RELATIONSHIP. CREATIVE COMMONS PROVIDES THIS
|
||||||
|
INFORMATION ON AN "AS-IS" BASIS. CREATIVE COMMONS MAKES NO WARRANTIES
|
||||||
|
REGARDING THE USE OF THIS DOCUMENT OR THE INFORMATION OR WORKS
|
||||||
|
PROVIDED HEREUNDER, AND DISCLAIMS LIABILITY FOR DAMAGES RESULTING FROM
|
||||||
|
THE USE OF THIS DOCUMENT OR THE INFORMATION OR WORKS PROVIDED
|
||||||
|
HEREUNDER.
|
||||||
|
|
||||||
|
Statement of Purpose
|
||||||
|
|
||||||
|
The laws of most jurisdictions throughout the world automatically confer
|
||||||
|
exclusive Copyright and Related Rights (defined below) upon the creator
|
||||||
|
and subsequent owner(s) (each and all, an "owner") of an original work of
|
||||||
|
authorship and/or a database (each, a "Work").
|
||||||
|
|
||||||
|
Certain owners wish to permanently relinquish those rights to a Work for
|
||||||
|
the purpose of contributing to a commons of creative, cultural and
|
||||||
|
scientific works ("Commons") that the public can reliably and without fear
|
||||||
|
of later claims of infringement build upon, modify, incorporate in other
|
||||||
|
works, reuse and redistribute as freely as possible in any form whatsoever
|
||||||
|
and for any purposes, including without limitation commercial purposes.
|
||||||
|
These owners may contribute to the Commons to promote the ideal of a free
|
||||||
|
culture and the further production of creative, cultural and scientific
|
||||||
|
works, or to gain reputation or greater distribution for their Work in
|
||||||
|
part through the use and efforts of others.
|
||||||
|
|
||||||
|
For these and/or other purposes and motivations, and without any
|
||||||
|
expectation of additional consideration or compensation, the person
|
||||||
|
associating CC0 with a Work (the "Affirmer"), to the extent that he or she
|
||||||
|
is an owner of Copyright and Related Rights in the Work, voluntarily
|
||||||
|
elects to apply CC0 to the Work and publicly distribute the Work under its
|
||||||
|
terms, with knowledge of his or her Copyright and Related Rights in the
|
||||||
|
Work and the meaning and intended legal effect of CC0 on those rights.
|
||||||
|
|
||||||
|
1. Copyright and Related Rights. A Work made available under CC0 may be
|
||||||
|
protected by copyright and related or neighboring rights ("Copyright and
|
||||||
|
Related Rights"). Copyright and Related Rights include, but are not
|
||||||
|
limited to, the following:
|
||||||
|
|
||||||
|
i. the right to reproduce, adapt, distribute, perform, display,
|
||||||
|
communicate, and translate a Work;
|
||||||
|
ii. moral rights retained by the original author(s) and/or performer(s);
|
||||||
|
iii. publicity and privacy rights pertaining to a person's image or
|
||||||
|
likeness depicted in a Work;
|
||||||
|
iv. rights protecting against unfair competition in regards to a Work,
|
||||||
|
subject to the limitations in paragraph 4(a), below;
|
||||||
|
v. rights protecting the extraction, dissemination, use and reuse of data
|
||||||
|
in a Work;
|
||||||
|
vi. database rights (such as those arising under Directive 96/9/EC of the
|
||||||
|
European Parliament and of the Council of 11 March 1996 on the legal
|
||||||
|
protection of databases, and under any national implementation
|
||||||
|
thereof, including any amended or successor version of such
|
||||||
|
directive); and
|
||||||
|
vii. other similar, equivalent or corresponding rights throughout the
|
||||||
|
world based on applicable law or treaty, and any national
|
||||||
|
implementations thereof.
|
||||||
|
|
||||||
|
2. Waiver. To the greatest extent permitted by, but not in contravention
|
||||||
|
of, applicable law, Affirmer hereby overtly, fully, permanently,
|
||||||
|
irrevocably and unconditionally waives, abandons, and surrenders all of
|
||||||
|
Affirmer's Copyright and Related Rights and associated claims and causes
|
||||||
|
of action, whether now known or unknown (including existing as well as
|
||||||
|
future claims and causes of action), in the Work (i) in all territories
|
||||||
|
worldwide, (ii) for the maximum duration provided by applicable law or
|
||||||
|
treaty (including future time extensions), (iii) in any current or future
|
||||||
|
medium and for any number of copies, and (iv) for any purpose whatsoever,
|
||||||
|
including without limitation commercial, advertising or promotional
|
||||||
|
purposes (the "Waiver"). Affirmer makes the Waiver for the benefit of each
|
||||||
|
member of the public at large and to the detriment of Affirmer's heirs and
|
||||||
|
successors, fully intending that such Waiver shall not be subject to
|
||||||
|
revocation, rescission, cancellation, termination, or any other legal or
|
||||||
|
equitable action to disrupt the quiet enjoyment of the Work by the public
|
||||||
|
as contemplated by Affirmer's express Statement of Purpose.
|
||||||
|
|
||||||
|
3. Public License Fallback. Should any part of the Waiver for any reason
|
||||||
|
be judged legally invalid or ineffective under applicable law, then the
|
||||||
|
Waiver shall be preserved to the maximum extent permitted taking into
|
||||||
|
account Affirmer's express Statement of Purpose. In addition, to the
|
||||||
|
extent the Waiver is so judged Affirmer hereby grants to each affected
|
||||||
|
person a royalty-free, non transferable, non sublicensable, non exclusive,
|
||||||
|
irrevocable and unconditional license to exercise Affirmer's Copyright and
|
||||||
|
Related Rights in the Work (i) in all territories worldwide, (ii) for the
|
||||||
|
maximum duration provided by applicable law or treaty (including future
|
||||||
|
time extensions), (iii) in any current or future medium and for any number
|
||||||
|
of copies, and (iv) for any purpose whatsoever, including without
|
||||||
|
limitation commercial, advertising or promotional purposes (the
|
||||||
|
"License"). The License shall be deemed effective as of the date CC0 was
|
||||||
|
applied by Affirmer to the Work. Should any part of the License for any
|
||||||
|
reason be judged legally invalid or ineffective under applicable law, such
|
||||||
|
partial invalidity or ineffectiveness shall not invalidate the remainder
|
||||||
|
of the License, and in such case Affirmer hereby affirms that he or she
|
||||||
|
will not (i) exercise any of his or her remaining Copyright and Related
|
||||||
|
Rights in the Work or (ii) assert any associated claims and causes of
|
||||||
|
action with respect to the Work, in either case contrary to Affirmer's
|
||||||
|
express Statement of Purpose.
|
||||||
|
|
||||||
|
4. Limitations and Disclaimers.
|
||||||
|
|
||||||
|
a. No trademark or patent rights held by Affirmer are waived, abandoned,
|
||||||
|
surrendered, licensed or otherwise affected by this document.
|
||||||
|
b. Affirmer offers the Work as-is and makes no representations or
|
||||||
|
warranties of any kind concerning the Work, express, implied,
|
||||||
|
statutory or otherwise, including without limitation warranties of
|
||||||
|
title, merchantability, fitness for a particular purpose, non
|
||||||
|
infringement, or the absence of latent or other defects, accuracy, or
|
||||||
|
the present or absence of errors, whether or not discoverable, all to
|
||||||
|
the greatest extent permissible under applicable law.
|
||||||
|
c. Affirmer disclaims responsibility for clearing rights of other persons
|
||||||
|
that may apply to the Work or any use thereof, including without
|
||||||
|
limitation any person's Copyright and Related Rights in the Work.
|
||||||
|
Further, Affirmer disclaims responsibility for obtaining any necessary
|
||||||
|
consents, permissions or other rights required for any use of the
|
||||||
|
Work.
|
||||||
|
d. Affirmer understands and acknowledges that Creative Commons is not a
|
||||||
|
party to this document and has no duty or obligation with respect to
|
||||||
|
this CC0 or use of the Work.
|
||||||
|
|
||||||
|
|
@ -0,0 +1,14 @@
|
||||||
|
### 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.
|
||||||
|
|
||||||
|
|
@ -0,0 +1,273 @@
|
||||||
|
// 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)
|
||||||
|
|
@ -0,0 +1,95 @@
|
||||||
|
// 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(®s[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(®s[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(®s[0])
|
||||||
|
return regs[1]&avx2Bit != 0
|
||||||
|
}
|
||||||
|
|
||||||
|
func init() {
|
||||||
|
blocksFn = blocksAmd64
|
||||||
|
usingVectors = true
|
||||||
|
usingAVX2 = supportsAVX2()
|
||||||
|
}
|
||||||
1295
vendor/git.schwanenlied.me/yawning/chacha20.git/chacha20_amd64.py
generated
vendored
Normal file
1295
vendor/git.schwanenlied.me/yawning/chacha20.git/chacha20_amd64.py
generated
vendored
Normal file
File diff suppressed because it is too large
Load Diff
1180
vendor/git.schwanenlied.me/yawning/chacha20.git/chacha20_amd64.s
generated
vendored
Normal file
1180
vendor/git.schwanenlied.me/yawning/chacha20.git/chacha20_amd64.s
generated
vendored
Normal file
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,394 @@
|
||||||
|
// 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
395
vendor/git.schwanenlied.me/yawning/chacha20.git/chacha20_ref_go19.go
generated
vendored
Normal file
|
|
@ -0,0 +1,395 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,2 @@
|
||||||
|
*.swp
|
||||||
|
*~
|
||||||
|
|
@ -0,0 +1,122 @@
|
||||||
|
Creative Commons Legal Code
|
||||||
|
|
||||||
|
CC0 1.0 Universal
|
||||||
|
|
||||||
|
CREATIVE COMMONS CORPORATION IS NOT A LAW FIRM AND DOES NOT PROVIDE
|
||||||
|
LEGAL SERVICES. DISTRIBUTION OF THIS DOCUMENT DOES NOT CREATE AN
|
||||||
|
ATTORNEY-CLIENT RELATIONSHIP. CREATIVE COMMONS PROVIDES THIS
|
||||||
|
INFORMATION ON AN "AS-IS" BASIS. CREATIVE COMMONS MAKES NO WARRANTIES
|
||||||
|
REGARDING THE USE OF THIS DOCUMENT OR THE INFORMATION OR WORKS
|
||||||
|
PROVIDED HEREUNDER, AND DISCLAIMS LIABILITY FOR DAMAGES RESULTING FROM
|
||||||
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2. Waiver. To the greatest extent permitted by, but not in contravention
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|
||||||
|
|
@ -0,0 +1,24 @@
|
||||||
|
### Kyber - IND-CCA2-secure Key Encapsulation Mechanism
|
||||||
|
#### Yawning Angel (yawning at schwanenlied dot me)
|
||||||
|
|
||||||
|
[](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).
|
||||||
|
|
@ -0,0 +1,100 @@
|
||||||
|
// 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}")
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,27 @@
|
||||||
|
// 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
|
||||||
|
|
@ -0,0 +1,46 @@
|
||||||
|
// 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()
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,256 @@
|
||||||
|
// 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(®s[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(®s[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(®s[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
|
||||||
|
}
|
||||||
|
}
|
||||||
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,14 @@
|
||||||
|
// 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()
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,279 @@
|
||||||
|
// 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}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,187 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,249 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,65 @@
|
||||||
|
// 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))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,116 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,146 @@
|
||||||
|
// 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])
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,115 @@
|
||||||
|
// 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])
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,87 @@
|
||||||
|
// 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,
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,43 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,122 @@
|
||||||
|
Creative Commons Legal Code
|
||||||
|
|
||||||
|
CC0 1.0 Universal
|
||||||
|
|
||||||
|
CREATIVE COMMONS CORPORATION IS NOT A LAW FIRM AND DOES NOT PROVIDE
|
||||||
|
LEGAL SERVICES. DISTRIBUTION OF THIS DOCUMENT DOES NOT CREATE AN
|
||||||
|
ATTORNEY-CLIENT RELATIONSHIP. CREATIVE COMMONS PROVIDES THIS
|
||||||
|
INFORMATION ON AN "AS-IS" BASIS. CREATIVE COMMONS MAKES NO WARRANTIES
|
||||||
|
REGARDING THE USE OF THIS DOCUMENT OR THE INFORMATION OR WORKS
|
||||||
|
PROVIDED HEREUNDER, AND DISCLAIMS LIABILITY FOR DAMAGES RESULTING FROM
|
||||||
|
THE USE OF THIS DOCUMENT OR THE INFORMATION OR WORKS PROVIDED
|
||||||
|
HEREUNDER.
|
||||||
|
|
||||||
|
Statement of Purpose
|
||||||
|
|
||||||
|
The laws of most jurisdictions throughout the world automatically confer
|
||||||
|
exclusive Copyright and Related Rights (defined below) upon the creator
|
||||||
|
and subsequent owner(s) (each and all, an "owner") of an original work of
|
||||||
|
authorship and/or a database (each, a "Work").
|
||||||
|
|
||||||
|
Certain owners wish to permanently relinquish those rights to a Work for
|
||||||
|
the purpose of contributing to a commons of creative, cultural and
|
||||||
|
scientific works ("Commons") that the public can reliably and without fear
|
||||||
|
of later claims of infringement build upon, modify, incorporate in other
|
||||||
|
works, reuse and redistribute as freely as possible in any form whatsoever
|
||||||
|
and for any purposes, including without limitation commercial purposes.
|
||||||
|
These owners may contribute to the Commons to promote the ideal of a free
|
||||||
|
culture and the further production of creative, cultural and scientific
|
||||||
|
works, or to gain reputation or greater distribution for their Work in
|
||||||
|
part through the use and efforts of others.
|
||||||
|
|
||||||
|
For these and/or other purposes and motivations, and without any
|
||||||
|
expectation of additional consideration or compensation, the person
|
||||||
|
associating CC0 with a Work (the "Affirmer"), to the extent that he or she
|
||||||
|
is an owner of Copyright and Related Rights in the Work, voluntarily
|
||||||
|
elects to apply CC0 to the Work and publicly distribute the Work under its
|
||||||
|
terms, with knowledge of his or her Copyright and Related Rights in the
|
||||||
|
Work and the meaning and intended legal effect of CC0 on those rights.
|
||||||
|
|
||||||
|
1. Copyright and Related Rights. A Work made available under CC0 may be
|
||||||
|
protected by copyright and related or neighboring rights ("Copyright and
|
||||||
|
Related Rights"). Copyright and Related Rights include, but are not
|
||||||
|
limited to, the following:
|
||||||
|
|
||||||
|
i. the right to reproduce, adapt, distribute, perform, display,
|
||||||
|
communicate, and translate a Work;
|
||||||
|
ii. moral rights retained by the original author(s) and/or performer(s);
|
||||||
|
iii. publicity and privacy rights pertaining to a person's image or
|
||||||
|
likeness depicted in a Work;
|
||||||
|
iv. rights protecting against unfair competition in regards to a Work,
|
||||||
|
subject to the limitations in paragraph 4(a), below;
|
||||||
|
v. rights protecting the extraction, dissemination, use and reuse of data
|
||||||
|
in a Work;
|
||||||
|
vi. database rights (such as those arising under Directive 96/9/EC of the
|
||||||
|
European Parliament and of the Council of 11 March 1996 on the legal
|
||||||
|
protection of databases, and under any national implementation
|
||||||
|
thereof, including any amended or successor version of such
|
||||||
|
directive); and
|
||||||
|
vii. other similar, equivalent or corresponding rights throughout the
|
||||||
|
world based on applicable law or treaty, and any national
|
||||||
|
implementations thereof.
|
||||||
|
|
||||||
|
2. Waiver. To the greatest extent permitted by, but not in contravention
|
||||||
|
of, applicable law, Affirmer hereby overtly, fully, permanently,
|
||||||
|
irrevocably and unconditionally waives, abandons, and surrenders all of
|
||||||
|
Affirmer's Copyright and Related Rights and associated claims and causes
|
||||||
|
of action, whether now known or unknown (including existing as well as
|
||||||
|
future claims and causes of action), in the Work (i) in all territories
|
||||||
|
worldwide, (ii) for the maximum duration provided by applicable law or
|
||||||
|
treaty (including future time extensions), (iii) in any current or future
|
||||||
|
medium and for any number of copies, and (iv) for any purpose whatsoever,
|
||||||
|
including without limitation commercial, advertising or promotional
|
||||||
|
purposes (the "Waiver"). Affirmer makes the Waiver for the benefit of each
|
||||||
|
member of the public at large and to the detriment of Affirmer's heirs and
|
||||||
|
successors, fully intending that such Waiver shall not be subject to
|
||||||
|
revocation, rescission, cancellation, termination, or any other legal or
|
||||||
|
equitable action to disrupt the quiet enjoyment of the Work by the public
|
||||||
|
as contemplated by Affirmer's express Statement of Purpose.
|
||||||
|
|
||||||
|
3. Public License Fallback. Should any part of the Waiver for any reason
|
||||||
|
be judged legally invalid or ineffective under applicable law, then the
|
||||||
|
Waiver shall be preserved to the maximum extent permitted taking into
|
||||||
|
account Affirmer's express Statement of Purpose. In addition, to the
|
||||||
|
extent the Waiver is so judged Affirmer hereby grants to each affected
|
||||||
|
person a royalty-free, non transferable, non sublicensable, non exclusive,
|
||||||
|
irrevocable and unconditional license to exercise Affirmer's Copyright and
|
||||||
|
Related Rights in the Work (i) in all territories worldwide, (ii) for the
|
||||||
|
maximum duration provided by applicable law or treaty (including future
|
||||||
|
time extensions), (iii) in any current or future medium and for any number
|
||||||
|
of copies, and (iv) for any purpose whatsoever, including without
|
||||||
|
limitation commercial, advertising or promotional purposes (the
|
||||||
|
"License"). The License shall be deemed effective as of the date CC0 was
|
||||||
|
applied by Affirmer to the Work. Should any part of the License for any
|
||||||
|
reason be judged legally invalid or ineffective under applicable law, such
|
||||||
|
partial invalidity or ineffectiveness shall not invalidate the remainder
|
||||||
|
of the License, and in such case Affirmer hereby affirms that he or she
|
||||||
|
will not (i) exercise any of his or her remaining Copyright and Related
|
||||||
|
Rights in the Work or (ii) assert any associated claims and causes of
|
||||||
|
action with respect to the Work, in either case contrary to Affirmer's
|
||||||
|
express Statement of Purpose.
|
||||||
|
|
||||||
|
4. Limitations and Disclaimers.
|
||||||
|
|
||||||
|
a. No trademark or patent rights held by Affirmer are waived, abandoned,
|
||||||
|
surrendered, licensed or otherwise affected by this document.
|
||||||
|
b. Affirmer offers the Work as-is and makes no representations or
|
||||||
|
warranties of any kind concerning the Work, express, implied,
|
||||||
|
statutory or otherwise, including without limitation warranties of
|
||||||
|
title, merchantability, fitness for a particular purpose, non
|
||||||
|
infringement, or the absence of latent or other defects, accuracy, or
|
||||||
|
the present or absence of errors, whether or not discoverable, all to
|
||||||
|
the greatest extent permissible under applicable law.
|
||||||
|
c. Affirmer disclaims responsibility for clearing rights of other persons
|
||||||
|
that may apply to the Work or any use thereof, including without
|
||||||
|
limitation any person's Copyright and Related Rights in the Work.
|
||||||
|
Further, Affirmer disclaims responsibility for obtaining any necessary
|
||||||
|
consents, permissions or other rights required for any use of the
|
||||||
|
Work.
|
||||||
|
d. Affirmer understands and acknowledges that Creative Commons is not a
|
||||||
|
party to this document and has no duty or obligation with respect to
|
||||||
|
this CC0 or use of the Work.
|
||||||
|
|
||||||
|
|
@ -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
135
vendor/git.schwanenlied.me/yawning/newhope.git/error_correction.go
generated
vendored
Normal file
|
|
@ -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
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,166 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,131 @@
|
||||||
|
// 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])))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,17 @@
|
||||||
|
// 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
|
||||||
|
)
|
||||||
|
|
@ -0,0 +1,212 @@
|
||||||
|
// 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")
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,99 @@
|
||||||
|
// 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])
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,287 @@
|
||||||
|
// 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,
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,32 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
6.out
|
||||||
|
*.6
|
||||||
|
_obj
|
||||||
|
_test
|
||||||
|
_testmain.go
|
||||||
|
|
@ -0,0 +1,29 @@
|
||||||
|
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.
|
||||||
|
|
@ -0,0 +1,46 @@
|
||||||
|
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
|
||||||
|
|
||||||
|
|
@ -0,0 +1,190 @@
|
||||||
|
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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,415 @@
|
||||||
|
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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,24 @@
|
||||||
|
# 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
|
||||||
|
|
@ -0,0 +1,23 @@
|
||||||
|
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
|
||||||
|
|
@ -0,0 +1,35 @@
|
||||||
|
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.
|
||||||
|
|
@ -0,0 +1,22 @@
|
||||||
|
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.
|
||||||
|
|
||||||
|
|
@ -0,0 +1,148 @@
|
||||||
|
# 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.
|
||||||
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,42 @@
|
||||||
|
// 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
|
||||||
|
|
@ -0,0 +1,42 @@
|
||||||
|
// 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
|
||||||
|
|
@ -0,0 +1,17 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,23 @@
|
||||||
|
// 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
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,4 @@
|
||||||
|
package cpuid
|
||||||
|
|
||||||
|
//go:generate go run private-gen.go
|
||||||
|
//go:generate gofmt -w ./private
|
||||||
|
|
@ -0,0 +1,476 @@
|
||||||
|
// +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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,26 @@
|
||||||
|
# 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
|
||||||
|
|
@ -0,0 +1,32 @@
|
||||||
|
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
|
||||||
|
|
@ -0,0 +1,23 @@
|
||||||
|
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.
|
||||||
|
|
||||||
|
|
@ -0,0 +1,321 @@
|
||||||
|
# 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.
|
||||||
|
|
@ -0,0 +1,20 @@
|
||||||
|
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 ./...
|
||||||
|
|
@ -0,0 +1,905 @@
|
||||||
|
/**
|
||||||
|
* 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},
|
||||||
|
{0x0, 0x2, 0x4, 0x6, 0x8, 0xa, 0xc, 0xe, 0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e, 0x20, 0x22, 0x24, 0x26, 0x28, 0x2a, 0x2c, 0x2e, 0x30, 0x32, 0x34, 0x36, 0x38, 0x3a, 0x3c, 0x3e, 0x40, 0x42, 0x44, 0x46, 0x48, 0x4a, 0x4c, 0x4e, 0x50, 0x52, 0x54, 0x56, 0x58, 0x5a, 0x5c, 0x5e, 0x60, 0x62, 0x64, 0x66, 0x68, 0x6a, 0x6c, 0x6e, 0x70, 0x72, 0x74, 0x76, 0x78, 0x7a, 0x7c, 0x7e, 0x80, 0x82, 0x84, 0x86, 0x88, 0x8a, 0x8c, 0x8e, 0x90, 0x92, 0x94, 0x96, 0x98, 0x9a, 0x9c, 0x9e, 0xa0, 0xa2, 0xa4, 0xa6, 0xa8, 0xaa, 0xac, 0xae, 0xb0, 0xb2, 0xb4, 0xb6, 0xb8, 0xba, 0xbc, 0xbe, 0xc0, 0xc2, 0xc4, 0xc6, 0xc8, 0xca, 0xcc, 0xce, 0xd0, 0xd2, 0xd4, 0xd6, 0xd8, 0xda, 0xdc, 0xde, 0xe0, 0xe2, 0xe4, 0xe6, 0xe8, 0xea, 0xec, 0xee, 0xf0, 0xf2, 0xf4, 0xf6, 0xf8, 0xfa, 0xfc, 0xfe, 0x1d, 0x1f, 0x19, 0x1b, 0x15, 0x17, 0x11, 0x13, 0xd, 0xf, 0x9, 0xb, 0x5, 0x7, 0x1, 0x3, 0x3d, 0x3f, 0x39, 0x3b, 0x35, 0x37, 0x31, 0x33, 0x2d, 0x2f, 0x29, 0x2b, 0x25, 0x27, 0x21, 0x23, 0x5d, 0x5f, 0x59, 0x5b, 0x55, 0x57, 0x51, 0x53, 0x4d, 0x4f, 0x49, 0x4b, 0x45, 0x47, 0x41, 0x43, 0x7d, 0x7f, 0x79, 0x7b, 0x75, 0x77, 0x71, 0x73, 0x6d, 0x6f, 0x69, 0x6b, 0x65, 0x67, 0x61, 0x63, 0x9d, 0x9f, 0x99, 0x9b, 0x95, 0x97, 0x91, 0x93, 0x8d, 0x8f, 0x89, 0x8b, 0x85, 0x87, 0x81, 0x83, 0xbd, 0xbf, 0xb9, 0xbb, 0xb5, 0xb7, 0xb1, 0xb3, 0xad, 0xaf, 0xa9, 0xab, 0xa5, 0xa7, 0xa1, 0xa3, 0xdd, 0xdf, 0xd9, 0xdb, 0xd5, 0xd7, 0xd1, 0xd3, 0xcd, 0xcf, 0xc9, 0xcb, 0xc5, 0xc7, 0xc1, 0xc3, 0xfd, 0xff, 0xf9, 0xfb, 0xf5, 0xf7, 0xf1, 0xf3, 0xed, 0xef, 0xe9, 0xeb, 0xe5, 0xe7, 0xe1, 0xe3},
|
||||||
|
{0x0, 0x3, 0x6, 0x5, 0xc, 0xf, 0xa, 0x9, 0x18, 0x1b, 0x1e, 0x1d, 0x14, 0x17, 0x12, 0x11, 0x30, 0x33, 0x36, 0x35, 0x3c, 0x3f, 0x3a, 0x39, 0x28, 0x2b, 0x2e, 0x2d, 0x24, 0x27, 0x22, 0x21, 0x60, 0x63, 0x66, 0x65, 0x6c, 0x6f, 0x6a, 0x69, 0x78, 0x7b, 0x7e, 0x7d, 0x74, 0x77, 0x72, 0x71, 0x50, 0x53, 0x56, 0x55, 0x5c, 0x5f, 0x5a, 0x59, 0x48, 0x4b, 0x4e, 0x4d, 0x44, 0x47, 0x42, 0x41, 0xc0, 0xc3, 0xc6, 0xc5, 0xcc, 0xcf, 0xca, 0xc9, 0xd8, 0xdb, 0xde, 0xdd, 0xd4, 0xd7, 0xd2, 0xd1, 0xf0, 0xf3, 0xf6, 0xf5, 0xfc, 0xff, 0xfa, 0xf9, 0xe8, 0xeb, 0xee, 0xed, 0xe4, 0xe7, 0xe2, 0xe1, 0xa0, 0xa3, 0xa6, 0xa5, 0xac, 0xaf, 0xaa, 0xa9, 0xb8, 0xbb, 0xbe, 0xbd, 0xb4, 0xb7, 0xb2, 0xb1, 0x90, 0x93, 0x96, 0x95, 0x9c, 0x9f, 0x9a, 0x99, 0x88, 0x8b, 0x8e, 0x8d, 0x84, 0x87, 0x82, 0x81, 0x9d, 0x9e, 0x9b, 0x98, 0x91, 0x92, 0x97, 0x94, 0x85, 0x86, 0x83, 0x80, 0x89, 0x8a, 0x8f, 0x8c, 0xad, 0xae, 0xab, 0xa8, 0xa1, 0xa2, 0xa7, 0xa4, 0xb5, 0xb6, 0xb3, 0xb0, 0xb9, 0xba, 0xbf, 0xbc, 0xfd, 0xfe, 0xfb, 0xf8, 0xf1, 0xf2, 0xf7, 0xf4, 0xe5, 0xe6, 0xe3, 0xe0, 0xe9, 0xea, 0xef, 0xec, 0xcd, 0xce, 0xcb, 0xc8, 0xc1, 0xc2, 0xc7, 0xc4, 0xd5, 0xd6, 0xd3, 0xd0, 0xd9, 0xda, 0xdf, 0xdc, 0x5d, 0x5e, 0x5b, 0x58, 0x51, 0x52, 0x57, 0x54, 0x45, 0x46, 0x43, 0x40, 0x49, 0x4a, 0x4f, 0x4c, 0x6d, 0x6e, 0x6b, 0x68, 0x61, 0x62, 0x67, 0x64, 0x75, 0x76, 0x73, 0x70, 0x79, 0x7a, 0x7f, 0x7c, 0x3d, 0x3e, 0x3b, 0x38, 0x31, 0x32, 0x37, 0x34, 0x25, 0x26, 0x23, 0x20, 0x29, 0x2a, 0x2f, 0x2c, 0xd, 0xe, 0xb, 0x8, 0x1, 0x2, 0x7, 0x4, 0x15, 0x16, 0x13, 0x10, 0x19, 0x1a, 0x1f, 0x1c},
|
||||||
|
{0x0, 0x4, 0x8, 0xc, 0x10, 0x14, 0x18, 0x1c, 0x20, 0x24, 0x28, 0x2c, 0x30, 0x34, 0x38, 0x3c, 0x40, 0x44, 0x48, 0x4c, 0x50, 0x54, 0x58, 0x5c, 0x60, 0x64, 0x68, 0x6c, 0x70, 0x74, 0x78, 0x7c, 0x80, 0x84, 0x88, 0x8c, 0x90, 0x94, 0x98, 0x9c, 0xa0, 0xa4, 0xa8, 0xac, 0xb0, 0xb4, 0xb8, 0xbc, 0xc0, 0xc4, 0xc8, 0xcc, 0xd0, 0xd4, 0xd8, 0xdc, 0xe0, 0xe4, 0xe8, 0xec, 0xf0, 0xf4, 0xf8, 0xfc, 0x1d, 0x19, 0x15, 0x11, 0xd, 0x9, 0x5, 0x1, 0x3d, 0x39, 0x35, 0x31, 0x2d, 0x29, 0x25, 0x21, 0x5d, 0x59, 0x55, 0x51, 0x4d, 0x49, 0x45, 0x41, 0x7d, 0x79, 0x75, 0x71, 0x6d, 0x69, 0x65, 0x61, 0x9d, 0x99, 0x95, 0x91, 0x8d, 0x89, 0x85, 0x81, 0xbd, 0xb9, 0xb5, 0xb1, 0xad, 0xa9, 0xa5, 0xa1, 0xdd, 0xd9, 0xd5, 0xd1, 0xcd, 0xc9, 0xc5, 0xc1, 0xfd, 0xf9, 0xf5, 0xf1, 0xed, 0xe9, 0xe5, 0xe1, 0x3a, 0x3e, 0x32, 0x36, 0x2a, 0x2e, 0x22, 0x26, 0x1a, 0x1e, 0x12, 0x16, 0xa, 0xe, 0x2, 0x6, 0x7a, 0x7e, 0x72, 0x76, 0x6a, 0x6e, 0x62, 0x66, 0x5a, 0x5e, 0x52, 0x56, 0x4a, 0x4e, 0x42, 0x46, 0xba, 0xbe, 0xb2, 0xb6, 0xaa, 0xae, 0xa2, 0xa6, 0x9a, 0x9e, 0x92, 0x96, 0x8a, 0x8e, 0x82, 0x86, 0xfa, 0xfe, 0xf2, 0xf6, 0xea, 0xee, 0xe2, 0xe6, 0xda, 0xde, 0xd2, 0xd6, 0xca, 0xce, 0xc2, 0xc6, 0x27, 0x23, 0x2f, 0x2b, 0x37, 0x33, 0x3f, 0x3b, 0x7, 0x3, 0xf, 0xb, 0x17, 0x13, 0x1f, 0x1b, 0x67, 0x63, 0x6f, 0x6b, 0x77, 0x73, 0x7f, 0x7b, 0x47, 0x43, 0x4f, 0x4b, 0x57, 0x53, 0x5f, 0x5b, 0xa7, 0xa3, 0xaf, 0xab, 0xb7, 0xb3, 0xbf, 0xbb, 0x87, 0x83, 0x8f, 0x8b, 0x97, 0x93, 0x9f, 0x9b, 0xe7, 0xe3, 0xef, 0xeb, 0xf7, 0xf3, 0xff, 0xfb, 0xc7, 0xc3, 0xcf, 0xcb, 0xd7, 0xd3, 0xdf, 0xdb},
|
||||||
|
{0x0, 0x5, 0xa, 0xf, 0x14, 0x11, 0x1e, 0x1b, 0x28, 0x2d, 0x22, 0x27, 0x3c, 0x39, 0x36, 0x33, 0x50, 0x55, 0x5a, 0x5f, 0x44, 0x41, 0x4e, 0x4b, 0x78, 0x7d, 0x72, 0x77, 0x6c, 0x69, 0x66, 0x63, 0xa0, 0xa5, 0xaa, 0xaf, 0xb4, 0xb1, 0xbe, 0xbb, 0x88, 0x8d, 0x82, 0x87, 0x9c, 0x99, 0x96, 0x93, 0xf0, 0xf5, 0xfa, 0xff, 0xe4, 0xe1, 0xee, 0xeb, 0xd8, 0xdd, 0xd2, 0xd7, 0xcc, 0xc9, 0xc6, 0xc3, 0x5d, 0x58, 0x57, 0x52, 0x49, 0x4c, 0x43, 0x46, 0x75, 0x70, 0x7f, 0x7a, 0x61, 0x64, 0x6b, 0x6e, 0xd, 0x8, 0x7, 0x2, 0x19, 0x1c, 0x13, 0x16, 0x25, 0x20, 0x2f, 0x2a, 0x31, 0x34, 0x3b, 0x3e, 0xfd, 0xf8, 0xf7, 0xf2, 0xe9, 0xec, 0xe3, 0xe6, 0xd5, 0xd0, 0xdf, 0xda, 0xc1, 0xc4, 0xcb, 0xce, 0xad, 0xa8, 0xa7, 0xa2, 0xb9, 0xbc, 0xb3, 0xb6, 0x85, 0x80, 0x8f, 0x8a, 0x91, 0x94, 0x9b, 0x9e, 0xba, 0xbf, 0xb0, 0xb5, 0xae, 0xab, 0xa4, 0xa1, 0x92, 0x97, 0x98, 0x9d, 0x86, 0x83, 0x8c, 0x89, 0xea, 0xef, 0xe0, 0xe5, 0xfe, 0xfb, 0xf4, 0xf1, 0xc2, 0xc7, 0xc8, 0xcd, 0xd6, 0xd3, 0xdc, 0xd9, 0x1a, 0x1f, 0x10, 0x15, 0xe, 0xb, 0x4, 0x1, 0x32, 0x37, 0x38, 0x3d, 0x26, 0x23, 0x2c, 0x29, 0x4a, 0x4f, 0x40, 0x45, 0x5e, 0x5b, 0x54, 0x51, 0x62, 0x67, 0x68, 0x6d, 0x76, 0x73, 0x7c, 0x79, 0xe7, 0xe2, 0xed, 0xe8, 0xf3, 0xf6, 0xf9, 0xfc, 0xcf, 0xca, 0xc5, 0xc0, 0xdb, 0xde, 0xd1, 0xd4, 0xb7, 0xb2, 0xbd, 0xb8, 0xa3, 0xa6, 0xa9, 0xac, 0x9f, 0x9a, 0x95, 0x90, 0x8b, 0x8e, 0x81, 0x84, 0x47, 0x42, 0x4d, 0x48, 0x53, 0x56, 0x59, 0x5c, 0x6f, 0x6a, 0x65, 0x60, 0x7b, 0x7e, 0x71, 0x74, 0x17, 0x12, 0x1d, 0x18, 0x3, 0x6, 0x9, 0xc, 0x3f, 0x3a, 0x35, 0x30, 0x2b, 0x2e, 0x21, 0x24},
|
||||||
|
{0x0, 0x6, 0xc, 0xa, 0x18, 0x1e, 0x14, 0x12, 0x30, 0x36, 0x3c, 0x3a, 0x28, 0x2e, 0x24, 0x22, 0x60, 0x66, 0x6c, 0x6a, 0x78, 0x7e, 0x74, 0x72, 0x50, 0x56, 0x5c, 0x5a, 0x48, 0x4e, 0x44, 0x42, 0xc0, 0xc6, 0xcc, 0xca, 0xd8, 0xde, 0xd4, 0xd2, 0xf0, 0xf6, 0xfc, 0xfa, 0xe8, 0xee, 0xe4, 0xe2, 0xa0, 0xa6, 0xac, 0xaa, 0xb8, 0xbe, 0xb4, 0xb2, 0x90, 0x96, 0x9c, 0x9a, 0x88, 0x8e, 0x84, 0x82, 0x9d, 0x9b, 0x91, 0x97, 0x85, 0x83, 0x89, 0x8f, 0xad, 0xab, 0xa1, 0xa7, 0xb5, 0xb3, 0xb9, 0xbf, 0xfd, 0xfb, 0xf1, 0xf7, 0xe5, 0xe3, 0xe9, 0xef, 0xcd, 0xcb, 0xc1, 0xc7, 0xd5, 0xd3, 0xd9, 0xdf, 0x5d, 0x5b, 0x51, 0x57, 0x45, 0x43, 0x49, 0x4f, 0x6d, 0x6b, 0x61, 0x67, 0x75, 0x73, 0x79, 0x7f, 0x3d, 0x3b, 0x31, 0x37, 0x25, 0x23, 0x29, 0x2f, 0xd, 0xb, 0x1, 0x7, 0x15, 0x13, 0x19, 0x1f, 0x27, 0x21, 0x2b, 0x2d, 0x3f, 0x39, 0x33, 0x35, 0x17, 0x11, 0x1b, 0x1d, 0xf, 0x9, 0x3, 0x5, 0x47, 0x41, 0x4b, 0x4d, 0x5f, 0x59, 0x53, 0x55, 0x77, 0x71, 0x7b, 0x7d, 0x6f, 0x69, 0x63, 0x65, 0xe7, 0xe1, 0xeb, 0xed, 0xff, 0xf9, 0xf3, 0xf5, 0xd7, 0xd1, 0xdb, 0xdd, 0xcf, 0xc9, 0xc3, 0xc5, 0x87, 0x81, 0x8b, 0x8d, 0x9f, 0x99, 0x93, 0x95, 0xb7, 0xb1, 0xbb, 0xbd, 0xaf, 0xa9, 0xa3, 0xa5, 0xba, 0xbc, 0xb6, 0xb0, 0xa2, 0xa4, 0xae, 0xa8, 0x8a, 0x8c, 0x86, 0x80, 0x92, 0x94, 0x9e, 0x98, 0xda, 0xdc, 0xd6, 0xd0, 0xc2, 0xc4, 0xce, 0xc8, 0xea, 0xec, 0xe6, 0xe0, 0xf2, 0xf4, 0xfe, 0xf8, 0x7a, 0x7c, 0x76, 0x70, 0x62, 0x64, 0x6e, 0x68, 0x4a, 0x4c, 0x46, 0x40, 0x52, 0x54, 0x5e, 0x58, 0x1a, 0x1c, 0x16, 0x10, 0x2, 0x4, 0xe, 0x8, 0x2a, 0x2c, 0x26, 0x20, 0x32, 0x34, 0x3e, 0x38},
|
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||||||
|
{0x0, 0xfc, 0xe5, 0x19, 0xd7, 0x2b, 0x32, 0xce, 0xb3, 0x4f, 0x56, 0xaa, 0x64, 0x98, 0x81, 0x7d, 0x7b, 0x87, 0x9e, 0x62, 0xac, 0x50, 0x49, 0xb5, 0xc8, 0x34, 0x2d, 0xd1, 0x1f, 0xe3, 0xfa, 0x6, 0xf6, 0xa, 0x13, 0xef, 0x21, 0xdd, 0xc4, 0x38, 0x45, 0xb9, 0xa0, 0x5c, 0x92, 0x6e, 0x77, 0x8b, 0x8d, 0x71, 0x68, 0x94, 0x5a, 0xa6, 0xbf, 0x43, 0x3e, 0xc2, 0xdb, 0x27, 0xe9, 0x15, 0xc, 0xf0, 0xf1, 0xd, 0x14, 0xe8, 0x26, 0xda, 0xc3, 0x3f, 0x42, 0xbe, 0xa7, 0x5b, 0x95, 0x69, 0x70, 0x8c, 0x8a, 0x76, 0x6f, 0x93, 0x5d, 0xa1, 0xb8, 0x44, 0x39, 0xc5, 0xdc, 0x20, 0xee, 0x12, 0xb, 0xf7, 0x7, 0xfb, 0xe2, 0x1e, 0xd0, 0x2c, 0x35, 0xc9, 0xb4, 0x48, 0x51, 0xad, 0x63, 0x9f, 0x86, 0x7a, 0x7c, 0x80, 0x99, 0x65, 0xab, 0x57, 0x4e, 0xb2, 0xcf, 0x33, 0x2a, 0xd6, 0x18, 0xe4, 0xfd, 0x1, 0xff, 0x3, 0x1a, 0xe6, 0x28, 0xd4, 0xcd, 0x31, 0x4c, 0xb0, 0xa9, 0x55, 0x9b, 0x67, 0x7e, 0x82, 0x84, 0x78, 0x61, 0x9d, 0x53, 0xaf, 0xb6, 0x4a, 0x37, 0xcb, 0xd2, 0x2e, 0xe0, 0x1c, 0x5, 0xf9, 0x9, 0xf5, 0xec, 0x10, 0xde, 0x22, 0x3b, 0xc7, 0xba, 0x46, 0x5f, 0xa3, 0x6d, 0x91, 0x88, 0x74, 0x72, 0x8e, 0x97, 0x6b, 0xa5, 0x59, 0x40, 0xbc, 0xc1, 0x3d, 0x24, 0xd8, 0x16, 0xea, 0xf3, 0xf, 0xe, 0xf2, 0xeb, 0x17, 0xd9, 0x25, 0x3c, 0xc0, 0xbd, 0x41, 0x58, 0xa4, 0x6a, 0x96, 0x8f, 0x73, 0x75, 0x89, 0x90, 0x6c, 0xa2, 0x5e, 0x47, 0xbb, 0xc6, 0x3a, 0x23, 0xdf, 0x11, 0xed, 0xf4, 0x8, 0xf8, 0x4, 0x1d, 0xe1, 0x2f, 0xd3, 0xca, 0x36, 0x4b, 0xb7, 0xae, 0x52, 0x9c, 0x60, 0x79, 0x85, 0x83, 0x7f, 0x66, 0x9a, 0x54, 0xa8, 0xb1, 0x4d, 0x30, 0xcc, 0xd5, 0x29, 0xe7, 0x1b, 0x2, 0xfe},
|
||||||
|
{0x0, 0xfd, 0xe7, 0x1a, 0xd3, 0x2e, 0x34, 0xc9, 0xbb, 0x46, 0x5c, 0xa1, 0x68, 0x95, 0x8f, 0x72, 0x6b, 0x96, 0x8c, 0x71, 0xb8, 0x45, 0x5f, 0xa2, 0xd0, 0x2d, 0x37, 0xca, 0x3, 0xfe, 0xe4, 0x19, 0xd6, 0x2b, 0x31, 0xcc, 0x5, 0xf8, 0xe2, 0x1f, 0x6d, 0x90, 0x8a, 0x77, 0xbe, 0x43, 0x59, 0xa4, 0xbd, 0x40, 0x5a, 0xa7, 0x6e, 0x93, 0x89, 0x74, 0x6, 0xfb, 0xe1, 0x1c, 0xd5, 0x28, 0x32, 0xcf, 0xb1, 0x4c, 0x56, 0xab, 0x62, 0x9f, 0x85, 0x78, 0xa, 0xf7, 0xed, 0x10, 0xd9, 0x24, 0x3e, 0xc3, 0xda, 0x27, 0x3d, 0xc0, 0x9, 0xf4, 0xee, 0x13, 0x61, 0x9c, 0x86, 0x7b, 0xb2, 0x4f, 0x55, 0xa8, 0x67, 0x9a, 0x80, 0x7d, 0xb4, 0x49, 0x53, 0xae, 0xdc, 0x21, 0x3b, 0xc6, 0xf, 0xf2, 0xe8, 0x15, 0xc, 0xf1, 0xeb, 0x16, 0xdf, 0x22, 0x38, 0xc5, 0xb7, 0x4a, 0x50, 0xad, 0x64, 0x99, 0x83, 0x7e, 0x7f, 0x82, 0x98, 0x65, 0xac, 0x51, 0x4b, 0xb6, 0xc4, 0x39, 0x23, 0xde, 0x17, 0xea, 0xf0, 0xd, 0x14, 0xe9, 0xf3, 0xe, 0xc7, 0x3a, 0x20, 0xdd, 0xaf, 0x52, 0x48, 0xb5, 0x7c, 0x81, 0x9b, 0x66, 0xa9, 0x54, 0x4e, 0xb3, 0x7a, 0x87, 0x9d, 0x60, 0x12, 0xef, 0xf5, 0x8, 0xc1, 0x3c, 0x26, 0xdb, 0xc2, 0x3f, 0x25, 0xd8, 0x11, 0xec, 0xf6, 0xb, 0x79, 0x84, 0x9e, 0x63, 0xaa, 0x57, 0x4d, 0xb0, 0xce, 0x33, 0x29, 0xd4, 0x1d, 0xe0, 0xfa, 0x7, 0x75, 0x88, 0x92, 0x6f, 0xa6, 0x5b, 0x41, 0xbc, 0xa5, 0x58, 0x42, 0xbf, 0x76, 0x8b, 0x91, 0x6c, 0x1e, 0xe3, 0xf9, 0x4, 0xcd, 0x30, 0x2a, 0xd7, 0x18, 0xe5, 0xff, 0x2, 0xcb, 0x36, 0x2c, 0xd1, 0xa3, 0x5e, 0x44, 0xb9, 0x70, 0x8d, 0x97, 0x6a, 0x73, 0x8e, 0x94, 0x69, 0xa0, 0x5d, 0x47, 0xba, 0xc8, 0x35, 0x2f, 0xd2, 0x1b, 0xe6, 0xfc, 0x1},
|
||||||
|
{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},
|
||||||
|
{0x0, 0x37, 0x6e, 0x59, 0xdc, 0xeb, 0xb2, 0x85, 0xa5, 0x92, 0xcb, 0xfc, 0x79, 0x4e, 0x17, 0x20},
|
||||||
|
{0x0, 0x38, 0x70, 0x48, 0xe0, 0xd8, 0x90, 0xa8, 0xdd, 0xe5, 0xad, 0x95, 0x3d, 0x5, 0x4d, 0x75},
|
||||||
|
{0x0, 0x39, 0x72, 0x4b, 0xe4, 0xdd, 0x96, 0xaf, 0xd5, 0xec, 0xa7, 0x9e, 0x31, 0x8, 0x43, 0x7a},
|
||||||
|
{0x0, 0x3a, 0x74, 0x4e, 0xe8, 0xd2, 0x9c, 0xa6, 0xcd, 0xf7, 0xb9, 0x83, 0x25, 0x1f, 0x51, 0x6b},
|
||||||
|
{0x0, 0x3b, 0x76, 0x4d, 0xec, 0xd7, 0x9a, 0xa1, 0xc5, 0xfe, 0xb3, 0x88, 0x29, 0x12, 0x5f, 0x64},
|
||||||
|
{0x0, 0x3c, 0x78, 0x44, 0xf0, 0xcc, 0x88, 0xb4, 0xfd, 0xc1, 0x85, 0xb9, 0xd, 0x31, 0x75, 0x49},
|
||||||
|
{0x0, 0x3d, 0x7a, 0x47, 0xf4, 0xc9, 0x8e, 0xb3, 0xf5, 0xc8, 0x8f, 0xb2, 0x1, 0x3c, 0x7b, 0x46},
|
||||||
|
{0x0, 0x3e, 0x7c, 0x42, 0xf8, 0xc6, 0x84, 0xba, 0xed, 0xd3, 0x91, 0xaf, 0x15, 0x2b, 0x69, 0x57},
|
||||||
|
{0x0, 0x3f, 0x7e, 0x41, 0xfc, 0xc3, 0x82, 0xbd, 0xe5, 0xda, 0x9b, 0xa4, 0x19, 0x26, 0x67, 0x58},
|
||||||
|
{0x0, 0x40, 0x80, 0xc0, 0x1d, 0x5d, 0x9d, 0xdd, 0x3a, 0x7a, 0xba, 0xfa, 0x27, 0x67, 0xa7, 0xe7},
|
||||||
|
{0x0, 0x41, 0x82, 0xc3, 0x19, 0x58, 0x9b, 0xda, 0x32, 0x73, 0xb0, 0xf1, 0x2b, 0x6a, 0xa9, 0xe8},
|
||||||
|
{0x0, 0x42, 0x84, 0xc6, 0x15, 0x57, 0x91, 0xd3, 0x2a, 0x68, 0xae, 0xec, 0x3f, 0x7d, 0xbb, 0xf9},
|
||||||
|
{0x0, 0x43, 0x86, 0xc5, 0x11, 0x52, 0x97, 0xd4, 0x22, 0x61, 0xa4, 0xe7, 0x33, 0x70, 0xb5, 0xf6},
|
||||||
|
{0x0, 0x44, 0x88, 0xcc, 0xd, 0x49, 0x85, 0xc1, 0x1a, 0x5e, 0x92, 0xd6, 0x17, 0x53, 0x9f, 0xdb},
|
||||||
|
{0x0, 0x45, 0x8a, 0xcf, 0x9, 0x4c, 0x83, 0xc6, 0x12, 0x57, 0x98, 0xdd, 0x1b, 0x5e, 0x91, 0xd4},
|
||||||
|
{0x0, 0x46, 0x8c, 0xca, 0x5, 0x43, 0x89, 0xcf, 0xa, 0x4c, 0x86, 0xc0, 0xf, 0x49, 0x83, 0xc5},
|
||||||
|
{0x0, 0x47, 0x8e, 0xc9, 0x1, 0x46, 0x8f, 0xc8, 0x2, 0x45, 0x8c, 0xcb, 0x3, 0x44, 0x8d, 0xca},
|
||||||
|
{0x0, 0x48, 0x90, 0xd8, 0x3d, 0x75, 0xad, 0xe5, 0x7a, 0x32, 0xea, 0xa2, 0x47, 0xf, 0xd7, 0x9f},
|
||||||
|
{0x0, 0x49, 0x92, 0xdb, 0x39, 0x70, 0xab, 0xe2, 0x72, 0x3b, 0xe0, 0xa9, 0x4b, 0x2, 0xd9, 0x90},
|
||||||
|
{0x0, 0x4a, 0x94, 0xde, 0x35, 0x7f, 0xa1, 0xeb, 0x6a, 0x20, 0xfe, 0xb4, 0x5f, 0x15, 0xcb, 0x81},
|
||||||
|
{0x0, 0x4b, 0x96, 0xdd, 0x31, 0x7a, 0xa7, 0xec, 0x62, 0x29, 0xf4, 0xbf, 0x53, 0x18, 0xc5, 0x8e},
|
||||||
|
{0x0, 0x4c, 0x98, 0xd4, 0x2d, 0x61, 0xb5, 0xf9, 0x5a, 0x16, 0xc2, 0x8e, 0x77, 0x3b, 0xef, 0xa3},
|
||||||
|
{0x0, 0x4d, 0x9a, 0xd7, 0x29, 0x64, 0xb3, 0xfe, 0x52, 0x1f, 0xc8, 0x85, 0x7b, 0x36, 0xe1, 0xac},
|
||||||
|
{0x0, 0x4e, 0x9c, 0xd2, 0x25, 0x6b, 0xb9, 0xf7, 0x4a, 0x4, 0xd6, 0x98, 0x6f, 0x21, 0xf3, 0xbd},
|
||||||
|
{0x0, 0x4f, 0x9e, 0xd1, 0x21, 0x6e, 0xbf, 0xf0, 0x42, 0xd, 0xdc, 0x93, 0x63, 0x2c, 0xfd, 0xb2},
|
||||||
|
{0x0, 0x50, 0xa0, 0xf0, 0x5d, 0xd, 0xfd, 0xad, 0xba, 0xea, 0x1a, 0x4a, 0xe7, 0xb7, 0x47, 0x17},
|
||||||
|
{0x0, 0x51, 0xa2, 0xf3, 0x59, 0x8, 0xfb, 0xaa, 0xb2, 0xe3, 0x10, 0x41, 0xeb, 0xba, 0x49, 0x18},
|
||||||
|
{0x0, 0x52, 0xa4, 0xf6, 0x55, 0x7, 0xf1, 0xa3, 0xaa, 0xf8, 0xe, 0x5c, 0xff, 0xad, 0x5b, 0x9},
|
||||||
|
{0x0, 0x53, 0xa6, 0xf5, 0x51, 0x2, 0xf7, 0xa4, 0xa2, 0xf1, 0x4, 0x57, 0xf3, 0xa0, 0x55, 0x6},
|
||||||
|
{0x0, 0x54, 0xa8, 0xfc, 0x4d, 0x19, 0xe5, 0xb1, 0x9a, 0xce, 0x32, 0x66, 0xd7, 0x83, 0x7f, 0x2b},
|
||||||
|
{0x0, 0x55, 0xaa, 0xff, 0x49, 0x1c, 0xe3, 0xb6, 0x92, 0xc7, 0x38, 0x6d, 0xdb, 0x8e, 0x71, 0x24},
|
||||||
|
{0x0, 0x56, 0xac, 0xfa, 0x45, 0x13, 0xe9, 0xbf, 0x8a, 0xdc, 0x26, 0x70, 0xcf, 0x99, 0x63, 0x35},
|
||||||
|
{0x0, 0x57, 0xae, 0xf9, 0x41, 0x16, 0xef, 0xb8, 0x82, 0xd5, 0x2c, 0x7b, 0xc3, 0x94, 0x6d, 0x3a},
|
||||||
|
{0x0, 0x58, 0xb0, 0xe8, 0x7d, 0x25, 0xcd, 0x95, 0xfa, 0xa2, 0x4a, 0x12, 0x87, 0xdf, 0x37, 0x6f},
|
||||||
|
{0x0, 0x59, 0xb2, 0xeb, 0x79, 0x20, 0xcb, 0x92, 0xf2, 0xab, 0x40, 0x19, 0x8b, 0xd2, 0x39, 0x60},
|
||||||
|
{0x0, 0x5a, 0xb4, 0xee, 0x75, 0x2f, 0xc1, 0x9b, 0xea, 0xb0, 0x5e, 0x4, 0x9f, 0xc5, 0x2b, 0x71},
|
||||||
|
{0x0, 0x5b, 0xb6, 0xed, 0x71, 0x2a, 0xc7, 0x9c, 0xe2, 0xb9, 0x54, 0xf, 0x93, 0xc8, 0x25, 0x7e},
|
||||||
|
{0x0, 0x5c, 0xb8, 0xe4, 0x6d, 0x31, 0xd5, 0x89, 0xda, 0x86, 0x62, 0x3e, 0xb7, 0xeb, 0xf, 0x53},
|
||||||
|
{0x0, 0x5d, 0xba, 0xe7, 0x69, 0x34, 0xd3, 0x8e, 0xd2, 0x8f, 0x68, 0x35, 0xbb, 0xe6, 0x1, 0x5c},
|
||||||
|
{0x0, 0x5e, 0xbc, 0xe2, 0x65, 0x3b, 0xd9, 0x87, 0xca, 0x94, 0x76, 0x28, 0xaf, 0xf1, 0x13, 0x4d},
|
||||||
|
{0x0, 0x5f, 0xbe, 0xe1, 0x61, 0x3e, 0xdf, 0x80, 0xc2, 0x9d, 0x7c, 0x23, 0xa3, 0xfc, 0x1d, 0x42},
|
||||||
|
{0x0, 0x60, 0xc0, 0xa0, 0x9d, 0xfd, 0x5d, 0x3d, 0x27, 0x47, 0xe7, 0x87, 0xba, 0xda, 0x7a, 0x1a},
|
||||||
|
{0x0, 0x61, 0xc2, 0xa3, 0x99, 0xf8, 0x5b, 0x3a, 0x2f, 0x4e, 0xed, 0x8c, 0xb6, 0xd7, 0x74, 0x15},
|
||||||
|
{0x0, 0x62, 0xc4, 0xa6, 0x95, 0xf7, 0x51, 0x33, 0x37, 0x55, 0xf3, 0x91, 0xa2, 0xc0, 0x66, 0x4},
|
||||||
|
{0x0, 0x63, 0xc6, 0xa5, 0x91, 0xf2, 0x57, 0x34, 0x3f, 0x5c, 0xf9, 0x9a, 0xae, 0xcd, 0x68, 0xb},
|
||||||
|
{0x0, 0x64, 0xc8, 0xac, 0x8d, 0xe9, 0x45, 0x21, 0x7, 0x63, 0xcf, 0xab, 0x8a, 0xee, 0x42, 0x26},
|
||||||
|
{0x0, 0x65, 0xca, 0xaf, 0x89, 0xec, 0x43, 0x26, 0xf, 0x6a, 0xc5, 0xa0, 0x86, 0xe3, 0x4c, 0x29},
|
||||||
|
{0x0, 0x66, 0xcc, 0xaa, 0x85, 0xe3, 0x49, 0x2f, 0x17, 0x71, 0xdb, 0xbd, 0x92, 0xf4, 0x5e, 0x38},
|
||||||
|
{0x0, 0x67, 0xce, 0xa9, 0x81, 0xe6, 0x4f, 0x28, 0x1f, 0x78, 0xd1, 0xb6, 0x9e, 0xf9, 0x50, 0x37},
|
||||||
|
{0x0, 0x68, 0xd0, 0xb8, 0xbd, 0xd5, 0x6d, 0x5, 0x67, 0xf, 0xb7, 0xdf, 0xda, 0xb2, 0xa, 0x62},
|
||||||
|
{0x0, 0x69, 0xd2, 0xbb, 0xb9, 0xd0, 0x6b, 0x2, 0x6f, 0x6, 0xbd, 0xd4, 0xd6, 0xbf, 0x4, 0x6d},
|
||||||
|
{0x0, 0x6a, 0xd4, 0xbe, 0xb5, 0xdf, 0x61, 0xb, 0x77, 0x1d, 0xa3, 0xc9, 0xc2, 0xa8, 0x16, 0x7c},
|
||||||
|
{0x0, 0x6b, 0xd6, 0xbd, 0xb1, 0xda, 0x67, 0xc, 0x7f, 0x14, 0xa9, 0xc2, 0xce, 0xa5, 0x18, 0x73},
|
||||||
|
{0x0, 0x6c, 0xd8, 0xb4, 0xad, 0xc1, 0x75, 0x19, 0x47, 0x2b, 0x9f, 0xf3, 0xea, 0x86, 0x32, 0x5e},
|
||||||
|
{0x0, 0x6d, 0xda, 0xb7, 0xa9, 0xc4, 0x73, 0x1e, 0x4f, 0x22, 0x95, 0xf8, 0xe6, 0x8b, 0x3c, 0x51},
|
||||||
|
{0x0, 0x6e, 0xdc, 0xb2, 0xa5, 0xcb, 0x79, 0x17, 0x57, 0x39, 0x8b, 0xe5, 0xf2, 0x9c, 0x2e, 0x40},
|
||||||
|
{0x0, 0x6f, 0xde, 0xb1, 0xa1, 0xce, 0x7f, 0x10, 0x5f, 0x30, 0x81, 0xee, 0xfe, 0x91, 0x20, 0x4f},
|
||||||
|
{0x0, 0x70, 0xe0, 0x90, 0xdd, 0xad, 0x3d, 0x4d, 0xa7, 0xd7, 0x47, 0x37, 0x7a, 0xa, 0x9a, 0xea},
|
||||||
|
{0x0, 0x71, 0xe2, 0x93, 0xd9, 0xa8, 0x3b, 0x4a, 0xaf, 0xde, 0x4d, 0x3c, 0x76, 0x7, 0x94, 0xe5},
|
||||||
|
{0x0, 0x72, 0xe4, 0x96, 0xd5, 0xa7, 0x31, 0x43, 0xb7, 0xc5, 0x53, 0x21, 0x62, 0x10, 0x86, 0xf4},
|
||||||
|
{0x0, 0x73, 0xe6, 0x95, 0xd1, 0xa2, 0x37, 0x44, 0xbf, 0xcc, 0x59, 0x2a, 0x6e, 0x1d, 0x88, 0xfb},
|
||||||
|
{0x0, 0x74, 0xe8, 0x9c, 0xcd, 0xb9, 0x25, 0x51, 0x87, 0xf3, 0x6f, 0x1b, 0x4a, 0x3e, 0xa2, 0xd6},
|
||||||
|
{0x0, 0x75, 0xea, 0x9f, 0xc9, 0xbc, 0x23, 0x56, 0x8f, 0xfa, 0x65, 0x10, 0x46, 0x33, 0xac, 0xd9},
|
||||||
|
{0x0, 0x76, 0xec, 0x9a, 0xc5, 0xb3, 0x29, 0x5f, 0x97, 0xe1, 0x7b, 0xd, 0x52, 0x24, 0xbe, 0xc8},
|
||||||
|
{0x0, 0x77, 0xee, 0x99, 0xc1, 0xb6, 0x2f, 0x58, 0x9f, 0xe8, 0x71, 0x6, 0x5e, 0x29, 0xb0, 0xc7},
|
||||||
|
{0x0, 0x78, 0xf0, 0x88, 0xfd, 0x85, 0xd, 0x75, 0xe7, 0x9f, 0x17, 0x6f, 0x1a, 0x62, 0xea, 0x92},
|
||||||
|
{0x0, 0x79, 0xf2, 0x8b, 0xf9, 0x80, 0xb, 0x72, 0xef, 0x96, 0x1d, 0x64, 0x16, 0x6f, 0xe4, 0x9d},
|
||||||
|
{0x0, 0x7a, 0xf4, 0x8e, 0xf5, 0x8f, 0x1, 0x7b, 0xf7, 0x8d, 0x3, 0x79, 0x2, 0x78, 0xf6, 0x8c},
|
||||||
|
{0x0, 0x7b, 0xf6, 0x8d, 0xf1, 0x8a, 0x7, 0x7c, 0xff, 0x84, 0x9, 0x72, 0xe, 0x75, 0xf8, 0x83},
|
||||||
|
{0x0, 0x7c, 0xf8, 0x84, 0xed, 0x91, 0x15, 0x69, 0xc7, 0xbb, 0x3f, 0x43, 0x2a, 0x56, 0xd2, 0xae},
|
||||||
|
{0x0, 0x7d, 0xfa, 0x87, 0xe9, 0x94, 0x13, 0x6e, 0xcf, 0xb2, 0x35, 0x48, 0x26, 0x5b, 0xdc, 0xa1},
|
||||||
|
{0x0, 0x7e, 0xfc, 0x82, 0xe5, 0x9b, 0x19, 0x67, 0xd7, 0xa9, 0x2b, 0x55, 0x32, 0x4c, 0xce, 0xb0},
|
||||||
|
{0x0, 0x7f, 0xfe, 0x81, 0xe1, 0x9e, 0x1f, 0x60, 0xdf, 0xa0, 0x21, 0x5e, 0x3e, 0x41, 0xc0, 0xbf},
|
||||||
|
{0x0, 0x80, 0x1d, 0x9d, 0x3a, 0xba, 0x27, 0xa7, 0x74, 0xf4, 0x69, 0xe9, 0x4e, 0xce, 0x53, 0xd3},
|
||||||
|
{0x0, 0x81, 0x1f, 0x9e, 0x3e, 0xbf, 0x21, 0xa0, 0x7c, 0xfd, 0x63, 0xe2, 0x42, 0xc3, 0x5d, 0xdc},
|
||||||
|
{0x0, 0x82, 0x19, 0x9b, 0x32, 0xb0, 0x2b, 0xa9, 0x64, 0xe6, 0x7d, 0xff, 0x56, 0xd4, 0x4f, 0xcd},
|
||||||
|
{0x0, 0x83, 0x1b, 0x98, 0x36, 0xb5, 0x2d, 0xae, 0x6c, 0xef, 0x77, 0xf4, 0x5a, 0xd9, 0x41, 0xc2},
|
||||||
|
{0x0, 0x84, 0x15, 0x91, 0x2a, 0xae, 0x3f, 0xbb, 0x54, 0xd0, 0x41, 0xc5, 0x7e, 0xfa, 0x6b, 0xef},
|
||||||
|
{0x0, 0x85, 0x17, 0x92, 0x2e, 0xab, 0x39, 0xbc, 0x5c, 0xd9, 0x4b, 0xce, 0x72, 0xf7, 0x65, 0xe0},
|
||||||
|
{0x0, 0x86, 0x11, 0x97, 0x22, 0xa4, 0x33, 0xb5, 0x44, 0xc2, 0x55, 0xd3, 0x66, 0xe0, 0x77, 0xf1},
|
||||||
|
{0x0, 0x87, 0x13, 0x94, 0x26, 0xa1, 0x35, 0xb2, 0x4c, 0xcb, 0x5f, 0xd8, 0x6a, 0xed, 0x79, 0xfe},
|
||||||
|
{0x0, 0x88, 0xd, 0x85, 0x1a, 0x92, 0x17, 0x9f, 0x34, 0xbc, 0x39, 0xb1, 0x2e, 0xa6, 0x23, 0xab},
|
||||||
|
{0x0, 0x89, 0xf, 0x86, 0x1e, 0x97, 0x11, 0x98, 0x3c, 0xb5, 0x33, 0xba, 0x22, 0xab, 0x2d, 0xa4},
|
||||||
|
{0x0, 0x8a, 0x9, 0x83, 0x12, 0x98, 0x1b, 0x91, 0x24, 0xae, 0x2d, 0xa7, 0x36, 0xbc, 0x3f, 0xb5},
|
||||||
|
{0x0, 0x8b, 0xb, 0x80, 0x16, 0x9d, 0x1d, 0x96, 0x2c, 0xa7, 0x27, 0xac, 0x3a, 0xb1, 0x31, 0xba},
|
||||||
|
{0x0, 0x8c, 0x5, 0x89, 0xa, 0x86, 0xf, 0x83, 0x14, 0x98, 0x11, 0x9d, 0x1e, 0x92, 0x1b, 0x97},
|
||||||
|
{0x0, 0x8d, 0x7, 0x8a, 0xe, 0x83, 0x9, 0x84, 0x1c, 0x91, 0x1b, 0x96, 0x12, 0x9f, 0x15, 0x98},
|
||||||
|
{0x0, 0x8e, 0x1, 0x8f, 0x2, 0x8c, 0x3, 0x8d, 0x4, 0x8a, 0x5, 0x8b, 0x6, 0x88, 0x7, 0x89},
|
||||||
|
{0x0, 0x8f, 0x3, 0x8c, 0x6, 0x89, 0x5, 0x8a, 0xc, 0x83, 0xf, 0x80, 0xa, 0x85, 0x9, 0x86},
|
||||||
|
{0x0, 0x90, 0x3d, 0xad, 0x7a, 0xea, 0x47, 0xd7, 0xf4, 0x64, 0xc9, 0x59, 0x8e, 0x1e, 0xb3, 0x23},
|
||||||
|
{0x0, 0x91, 0x3f, 0xae, 0x7e, 0xef, 0x41, 0xd0, 0xfc, 0x6d, 0xc3, 0x52, 0x82, 0x13, 0xbd, 0x2c},
|
||||||
|
{0x0, 0x92, 0x39, 0xab, 0x72, 0xe0, 0x4b, 0xd9, 0xe4, 0x76, 0xdd, 0x4f, 0x96, 0x4, 0xaf, 0x3d},
|
||||||
|
{0x0, 0x93, 0x3b, 0xa8, 0x76, 0xe5, 0x4d, 0xde, 0xec, 0x7f, 0xd7, 0x44, 0x9a, 0x9, 0xa1, 0x32},
|
||||||
|
{0x0, 0x94, 0x35, 0xa1, 0x6a, 0xfe, 0x5f, 0xcb, 0xd4, 0x40, 0xe1, 0x75, 0xbe, 0x2a, 0x8b, 0x1f},
|
||||||
|
{0x0, 0x95, 0x37, 0xa2, 0x6e, 0xfb, 0x59, 0xcc, 0xdc, 0x49, 0xeb, 0x7e, 0xb2, 0x27, 0x85, 0x10},
|
||||||
|
{0x0, 0x96, 0x31, 0xa7, 0x62, 0xf4, 0x53, 0xc5, 0xc4, 0x52, 0xf5, 0x63, 0xa6, 0x30, 0x97, 0x1},
|
||||||
|
{0x0, 0x97, 0x33, 0xa4, 0x66, 0xf1, 0x55, 0xc2, 0xcc, 0x5b, 0xff, 0x68, 0xaa, 0x3d, 0x99, 0xe},
|
||||||
|
{0x0, 0x98, 0x2d, 0xb5, 0x5a, 0xc2, 0x77, 0xef, 0xb4, 0x2c, 0x99, 0x1, 0xee, 0x76, 0xc3, 0x5b},
|
||||||
|
{0x0, 0x99, 0x2f, 0xb6, 0x5e, 0xc7, 0x71, 0xe8, 0xbc, 0x25, 0x93, 0xa, 0xe2, 0x7b, 0xcd, 0x54},
|
||||||
|
{0x0, 0x9a, 0x29, 0xb3, 0x52, 0xc8, 0x7b, 0xe1, 0xa4, 0x3e, 0x8d, 0x17, 0xf6, 0x6c, 0xdf, 0x45},
|
||||||
|
{0x0, 0x9b, 0x2b, 0xb0, 0x56, 0xcd, 0x7d, 0xe6, 0xac, 0x37, 0x87, 0x1c, 0xfa, 0x61, 0xd1, 0x4a},
|
||||||
|
{0x0, 0x9c, 0x25, 0xb9, 0x4a, 0xd6, 0x6f, 0xf3, 0x94, 0x8, 0xb1, 0x2d, 0xde, 0x42, 0xfb, 0x67},
|
||||||
|
{0x0, 0x9d, 0x27, 0xba, 0x4e, 0xd3, 0x69, 0xf4, 0x9c, 0x1, 0xbb, 0x26, 0xd2, 0x4f, 0xf5, 0x68},
|
||||||
|
{0x0, 0x9e, 0x21, 0xbf, 0x42, 0xdc, 0x63, 0xfd, 0x84, 0x1a, 0xa5, 0x3b, 0xc6, 0x58, 0xe7, 0x79},
|
||||||
|
{0x0, 0x9f, 0x23, 0xbc, 0x46, 0xd9, 0x65, 0xfa, 0x8c, 0x13, 0xaf, 0x30, 0xca, 0x55, 0xe9, 0x76},
|
||||||
|
{0x0, 0xa0, 0x5d, 0xfd, 0xba, 0x1a, 0xe7, 0x47, 0x69, 0xc9, 0x34, 0x94, 0xd3, 0x73, 0x8e, 0x2e},
|
||||||
|
{0x0, 0xa1, 0x5f, 0xfe, 0xbe, 0x1f, 0xe1, 0x40, 0x61, 0xc0, 0x3e, 0x9f, 0xdf, 0x7e, 0x80, 0x21},
|
||||||
|
{0x0, 0xa2, 0x59, 0xfb, 0xb2, 0x10, 0xeb, 0x49, 0x79, 0xdb, 0x20, 0x82, 0xcb, 0x69, 0x92, 0x30},
|
||||||
|
{0x0, 0xa3, 0x5b, 0xf8, 0xb6, 0x15, 0xed, 0x4e, 0x71, 0xd2, 0x2a, 0x89, 0xc7, 0x64, 0x9c, 0x3f},
|
||||||
|
{0x0, 0xa4, 0x55, 0xf1, 0xaa, 0xe, 0xff, 0x5b, 0x49, 0xed, 0x1c, 0xb8, 0xe3, 0x47, 0xb6, 0x12},
|
||||||
|
{0x0, 0xa5, 0x57, 0xf2, 0xae, 0xb, 0xf9, 0x5c, 0x41, 0xe4, 0x16, 0xb3, 0xef, 0x4a, 0xb8, 0x1d},
|
||||||
|
{0x0, 0xa6, 0x51, 0xf7, 0xa2, 0x4, 0xf3, 0x55, 0x59, 0xff, 0x8, 0xae, 0xfb, 0x5d, 0xaa, 0xc},
|
||||||
|
{0x0, 0xa7, 0x53, 0xf4, 0xa6, 0x1, 0xf5, 0x52, 0x51, 0xf6, 0x2, 0xa5, 0xf7, 0x50, 0xa4, 0x3},
|
||||||
|
{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},
|
||||||
|
{0x0, 0xcd, 0x87, 0x4a, 0x13, 0xde, 0x94, 0x59, 0x26, 0xeb, 0xa1, 0x6c, 0x35, 0xf8, 0xb2, 0x7f},
|
||||||
|
{0x0, 0xfd, 0xe7, 0x1a, 0xd3, 0x2e, 0x34, 0xc9, 0xbb, 0x46, 0x5c, 0xa1, 0x68, 0x95, 0x8f, 0x72},
|
||||||
|
{0x0, 0xed, 0xc7, 0x2a, 0x93, 0x7e, 0x54, 0xb9, 0x3b, 0xd6, 0xfc, 0x11, 0xa8, 0x45, 0x6f, 0x82},
|
||||||
|
{0x0, 0x3a, 0x74, 0x4e, 0xe8, 0xd2, 0x9c, 0xa6, 0xcd, 0xf7, 0xb9, 0x83, 0x25, 0x1f, 0x51, 0x6b},
|
||||||
|
{0x0, 0x2a, 0x54, 0x7e, 0xa8, 0x82, 0xfc, 0xd6, 0x4d, 0x67, 0x19, 0x33, 0xe5, 0xcf, 0xb1, 0x9b},
|
||||||
|
{0x0, 0x1a, 0x34, 0x2e, 0x68, 0x72, 0x5c, 0x46, 0xd0, 0xca, 0xe4, 0xfe, 0xb8, 0xa2, 0x8c, 0x96},
|
||||||
|
{0x0, 0xa, 0x14, 0x1e, 0x28, 0x22, 0x3c, 0x36, 0x50, 0x5a, 0x44, 0x4e, 0x78, 0x72, 0x6c, 0x66},
|
||||||
|
{0x0, 0x7a, 0xf4, 0x8e, 0xf5, 0x8f, 0x1, 0x7b, 0xf7, 0x8d, 0x3, 0x79, 0x2, 0x78, 0xf6, 0x8c},
|
||||||
|
{0x0, 0x6a, 0xd4, 0xbe, 0xb5, 0xdf, 0x61, 0xb, 0x77, 0x1d, 0xa3, 0xc9, 0xc2, 0xa8, 0x16, 0x7c},
|
||||||
|
{0x0, 0x5a, 0xb4, 0xee, 0x75, 0x2f, 0xc1, 0x9b, 0xea, 0xb0, 0x5e, 0x4, 0x9f, 0xc5, 0x2b, 0x71},
|
||||||
|
{0x0, 0x4a, 0x94, 0xde, 0x35, 0x7f, 0xa1, 0xeb, 0x6a, 0x20, 0xfe, 0xb4, 0x5f, 0x15, 0xcb, 0x81},
|
||||||
|
{0x0, 0xba, 0x69, 0xd3, 0xd2, 0x68, 0xbb, 0x1, 0xb9, 0x3, 0xd0, 0x6a, 0x6b, 0xd1, 0x2, 0xb8},
|
||||||
|
{0x0, 0xaa, 0x49, 0xe3, 0x92, 0x38, 0xdb, 0x71, 0x39, 0x93, 0x70, 0xda, 0xab, 0x1, 0xe2, 0x48},
|
||||||
|
{0x0, 0x9a, 0x29, 0xb3, 0x52, 0xc8, 0x7b, 0xe1, 0xa4, 0x3e, 0x8d, 0x17, 0xf6, 0x6c, 0xdf, 0x45},
|
||||||
|
{0x0, 0x8a, 0x9, 0x83, 0x12, 0x98, 0x1b, 0x91, 0x24, 0xae, 0x2d, 0xa7, 0x36, 0xbc, 0x3f, 0xb5},
|
||||||
|
{0x0, 0xfa, 0xe9, 0x13, 0xcf, 0x35, 0x26, 0xdc, 0x83, 0x79, 0x6a, 0x90, 0x4c, 0xb6, 0xa5, 0x5f},
|
||||||
|
{0x0, 0xea, 0xc9, 0x23, 0x8f, 0x65, 0x46, 0xac, 0x3, 0xe9, 0xca, 0x20, 0x8c, 0x66, 0x45, 0xaf},
|
||||||
|
{0x0, 0xda, 0xa9, 0x73, 0x4f, 0x95, 0xe6, 0x3c, 0x9e, 0x44, 0x37, 0xed, 0xd1, 0xb, 0x78, 0xa2},
|
||||||
|
{0x0, 0xca, 0x89, 0x43, 0xf, 0xc5, 0x86, 0x4c, 0x1e, 0xd4, 0x97, 0x5d, 0x11, 0xdb, 0x98, 0x52},
|
||||||
|
{0x0, 0x27, 0x4e, 0x69, 0x9c, 0xbb, 0xd2, 0xf5, 0x25, 0x2, 0x6b, 0x4c, 0xb9, 0x9e, 0xf7, 0xd0},
|
||||||
|
{0x0, 0x37, 0x6e, 0x59, 0xdc, 0xeb, 0xb2, 0x85, 0xa5, 0x92, 0xcb, 0xfc, 0x79, 0x4e, 0x17, 0x20},
|
||||||
|
{0x0, 0x7, 0xe, 0x9, 0x1c, 0x1b, 0x12, 0x15, 0x38, 0x3f, 0x36, 0x31, 0x24, 0x23, 0x2a, 0x2d},
|
||||||
|
{0x0, 0x17, 0x2e, 0x39, 0x5c, 0x4b, 0x72, 0x65, 0xb8, 0xaf, 0x96, 0x81, 0xe4, 0xf3, 0xca, 0xdd},
|
||||||
|
{0x0, 0x67, 0xce, 0xa9, 0x81, 0xe6, 0x4f, 0x28, 0x1f, 0x78, 0xd1, 0xb6, 0x9e, 0xf9, 0x50, 0x37},
|
||||||
|
{0x0, 0x77, 0xee, 0x99, 0xc1, 0xb6, 0x2f, 0x58, 0x9f, 0xe8, 0x71, 0x6, 0x5e, 0x29, 0xb0, 0xc7},
|
||||||
|
{0x0, 0x47, 0x8e, 0xc9, 0x1, 0x46, 0x8f, 0xc8, 0x2, 0x45, 0x8c, 0xcb, 0x3, 0x44, 0x8d, 0xca},
|
||||||
|
{0x0, 0x57, 0xae, 0xf9, 0x41, 0x16, 0xef, 0xb8, 0x82, 0xd5, 0x2c, 0x7b, 0xc3, 0x94, 0x6d, 0x3a},
|
||||||
|
{0x0, 0xa7, 0x53, 0xf4, 0xa6, 0x1, 0xf5, 0x52, 0x51, 0xf6, 0x2, 0xa5, 0xf7, 0x50, 0xa4, 0x3},
|
||||||
|
{0x0, 0xb7, 0x73, 0xc4, 0xe6, 0x51, 0x95, 0x22, 0xd1, 0x66, 0xa2, 0x15, 0x37, 0x80, 0x44, 0xf3},
|
||||||
|
{0x0, 0x87, 0x13, 0x94, 0x26, 0xa1, 0x35, 0xb2, 0x4c, 0xcb, 0x5f, 0xd8, 0x6a, 0xed, 0x79, 0xfe},
|
||||||
|
{0x0, 0x97, 0x33, 0xa4, 0x66, 0xf1, 0x55, 0xc2, 0xcc, 0x5b, 0xff, 0x68, 0xaa, 0x3d, 0x99, 0xe},
|
||||||
|
{0x0, 0xe7, 0xd3, 0x34, 0xbb, 0x5c, 0x68, 0x8f, 0x6b, 0x8c, 0xb8, 0x5f, 0xd0, 0x37, 0x3, 0xe4},
|
||||||
|
{0x0, 0xf7, 0xf3, 0x4, 0xfb, 0xc, 0x8, 0xff, 0xeb, 0x1c, 0x18, 0xef, 0x10, 0xe7, 0xe3, 0x14},
|
||||||
|
{0x0, 0xc7, 0x93, 0x54, 0x3b, 0xfc, 0xa8, 0x6f, 0x76, 0xb1, 0xe5, 0x22, 0x4d, 0x8a, 0xde, 0x19},
|
||||||
|
{0x0, 0xd7, 0xb3, 0x64, 0x7b, 0xac, 0xc8, 0x1f, 0xf6, 0x21, 0x45, 0x92, 0x8d, 0x5a, 0x3e, 0xe9},
|
||||||
|
{0x0, 0x74, 0xe8, 0x9c, 0xcd, 0xb9, 0x25, 0x51, 0x87, 0xf3, 0x6f, 0x1b, 0x4a, 0x3e, 0xa2, 0xd6},
|
||||||
|
{0x0, 0x64, 0xc8, 0xac, 0x8d, 0xe9, 0x45, 0x21, 0x7, 0x63, 0xcf, 0xab, 0x8a, 0xee, 0x42, 0x26},
|
||||||
|
{0x0, 0x54, 0xa8, 0xfc, 0x4d, 0x19, 0xe5, 0xb1, 0x9a, 0xce, 0x32, 0x66, 0xd7, 0x83, 0x7f, 0x2b},
|
||||||
|
{0x0, 0x44, 0x88, 0xcc, 0xd, 0x49, 0x85, 0xc1, 0x1a, 0x5e, 0x92, 0xd6, 0x17, 0x53, 0x9f, 0xdb},
|
||||||
|
{0x0, 0x34, 0x68, 0x5c, 0xd0, 0xe4, 0xb8, 0x8c, 0xbd, 0x89, 0xd5, 0xe1, 0x6d, 0x59, 0x5, 0x31},
|
||||||
|
{0x0, 0x24, 0x48, 0x6c, 0x90, 0xb4, 0xd8, 0xfc, 0x3d, 0x19, 0x75, 0x51, 0xad, 0x89, 0xe5, 0xc1},
|
||||||
|
{0x0, 0x14, 0x28, 0x3c, 0x50, 0x44, 0x78, 0x6c, 0xa0, 0xb4, 0x88, 0x9c, 0xf0, 0xe4, 0xd8, 0xcc},
|
||||||
|
{0x0, 0x4, 0x8, 0xc, 0x10, 0x14, 0x18, 0x1c, 0x20, 0x24, 0x28, 0x2c, 0x30, 0x34, 0x38, 0x3c},
|
||||||
|
{0x0, 0xf4, 0xf5, 0x1, 0xf7, 0x3, 0x2, 0xf6, 0xf3, 0x7, 0x6, 0xf2, 0x4, 0xf0, 0xf1, 0x5},
|
||||||
|
{0x0, 0xe4, 0xd5, 0x31, 0xb7, 0x53, 0x62, 0x86, 0x73, 0x97, 0xa6, 0x42, 0xc4, 0x20, 0x11, 0xf5},
|
||||||
|
{0x0, 0xd4, 0xb5, 0x61, 0x77, 0xa3, 0xc2, 0x16, 0xee, 0x3a, 0x5b, 0x8f, 0x99, 0x4d, 0x2c, 0xf8},
|
||||||
|
{0x0, 0xc4, 0x95, 0x51, 0x37, 0xf3, 0xa2, 0x66, 0x6e, 0xaa, 0xfb, 0x3f, 0x59, 0x9d, 0xcc, 0x8},
|
||||||
|
{0x0, 0xb4, 0x75, 0xc1, 0xea, 0x5e, 0x9f, 0x2b, 0xc9, 0x7d, 0xbc, 0x8, 0x23, 0x97, 0x56, 0xe2},
|
||||||
|
{0x0, 0xa4, 0x55, 0xf1, 0xaa, 0xe, 0xff, 0x5b, 0x49, 0xed, 0x1c, 0xb8, 0xe3, 0x47, 0xb6, 0x12},
|
||||||
|
{0x0, 0x94, 0x35, 0xa1, 0x6a, 0xfe, 0x5f, 0xcb, 0xd4, 0x40, 0xe1, 0x75, 0xbe, 0x2a, 0x8b, 0x1f},
|
||||||
|
{0x0, 0x84, 0x15, 0x91, 0x2a, 0xae, 0x3f, 0xbb, 0x54, 0xd0, 0x41, 0xc5, 0x7e, 0xfa, 0x6b, 0xef},
|
||||||
|
{0x0, 0x69, 0xd2, 0xbb, 0xb9, 0xd0, 0x6b, 0x2, 0x6f, 0x6, 0xbd, 0xd4, 0xd6, 0xbf, 0x4, 0x6d},
|
||||||
|
{0x0, 0x79, 0xf2, 0x8b, 0xf9, 0x80, 0xb, 0x72, 0xef, 0x96, 0x1d, 0x64, 0x16, 0x6f, 0xe4, 0x9d},
|
||||||
|
{0x0, 0x49, 0x92, 0xdb, 0x39, 0x70, 0xab, 0xe2, 0x72, 0x3b, 0xe0, 0xa9, 0x4b, 0x2, 0xd9, 0x90},
|
||||||
|
{0x0, 0x59, 0xb2, 0xeb, 0x79, 0x20, 0xcb, 0x92, 0xf2, 0xab, 0x40, 0x19, 0x8b, 0xd2, 0x39, 0x60},
|
||||||
|
{0x0, 0x29, 0x52, 0x7b, 0xa4, 0x8d, 0xf6, 0xdf, 0x55, 0x7c, 0x7, 0x2e, 0xf1, 0xd8, 0xa3, 0x8a},
|
||||||
|
{0x0, 0x39, 0x72, 0x4b, 0xe4, 0xdd, 0x96, 0xaf, 0xd5, 0xec, 0xa7, 0x9e, 0x31, 0x8, 0x43, 0x7a},
|
||||||
|
{0x0, 0x9, 0x12, 0x1b, 0x24, 0x2d, 0x36, 0x3f, 0x48, 0x41, 0x5a, 0x53, 0x6c, 0x65, 0x7e, 0x77},
|
||||||
|
{0x0, 0x19, 0x32, 0x2b, 0x64, 0x7d, 0x56, 0x4f, 0xc8, 0xd1, 0xfa, 0xe3, 0xac, 0xb5, 0x9e, 0x87},
|
||||||
|
{0x0, 0xe9, 0xcf, 0x26, 0x83, 0x6a, 0x4c, 0xa5, 0x1b, 0xf2, 0xd4, 0x3d, 0x98, 0x71, 0x57, 0xbe},
|
||||||
|
{0x0, 0xf9, 0xef, 0x16, 0xc3, 0x3a, 0x2c, 0xd5, 0x9b, 0x62, 0x74, 0x8d, 0x58, 0xa1, 0xb7, 0x4e},
|
||||||
|
{0x0, 0xc9, 0x8f, 0x46, 0x3, 0xca, 0x8c, 0x45, 0x6, 0xcf, 0x89, 0x40, 0x5, 0xcc, 0x8a, 0x43},
|
||||||
|
{0x0, 0xd9, 0xaf, 0x76, 0x43, 0x9a, 0xec, 0x35, 0x86, 0x5f, 0x29, 0xf0, 0xc5, 0x1c, 0x6a, 0xb3},
|
||||||
|
{0x0, 0xa9, 0x4f, 0xe6, 0x9e, 0x37, 0xd1, 0x78, 0x21, 0x88, 0x6e, 0xc7, 0xbf, 0x16, 0xf0, 0x59},
|
||||||
|
{0x0, 0xb9, 0x6f, 0xd6, 0xde, 0x67, 0xb1, 0x8, 0xa1, 0x18, 0xce, 0x77, 0x7f, 0xc6, 0x10, 0xa9},
|
||||||
|
{0x0, 0x89, 0xf, 0x86, 0x1e, 0x97, 0x11, 0x98, 0x3c, 0xb5, 0x33, 0xba, 0x22, 0xab, 0x2d, 0xa4},
|
||||||
|
{0x0, 0x99, 0x2f, 0xb6, 0x5e, 0xc7, 0x71, 0xe8, 0xbc, 0x25, 0x93, 0xa, 0xe2, 0x7b, 0xcd, 0x54},
|
||||||
|
{0x0, 0x4e, 0x9c, 0xd2, 0x25, 0x6b, 0xb9, 0xf7, 0x4a, 0x4, 0xd6, 0x98, 0x6f, 0x21, 0xf3, 0xbd},
|
||||||
|
{0x0, 0x5e, 0xbc, 0xe2, 0x65, 0x3b, 0xd9, 0x87, 0xca, 0x94, 0x76, 0x28, 0xaf, 0xf1, 0x13, 0x4d},
|
||||||
|
{0x0, 0x6e, 0xdc, 0xb2, 0xa5, 0xcb, 0x79, 0x17, 0x57, 0x39, 0x8b, 0xe5, 0xf2, 0x9c, 0x2e, 0x40},
|
||||||
|
{0x0, 0x7e, 0xfc, 0x82, 0xe5, 0x9b, 0x19, 0x67, 0xd7, 0xa9, 0x2b, 0x55, 0x32, 0x4c, 0xce, 0xb0},
|
||||||
|
{0x0, 0xe, 0x1c, 0x12, 0x38, 0x36, 0x24, 0x2a, 0x70, 0x7e, 0x6c, 0x62, 0x48, 0x46, 0x54, 0x5a},
|
||||||
|
{0x0, 0x1e, 0x3c, 0x22, 0x78, 0x66, 0x44, 0x5a, 0xf0, 0xee, 0xcc, 0xd2, 0x88, 0x96, 0xb4, 0xaa},
|
||||||
|
{0x0, 0x2e, 0x5c, 0x72, 0xb8, 0x96, 0xe4, 0xca, 0x6d, 0x43, 0x31, 0x1f, 0xd5, 0xfb, 0x89, 0xa7},
|
||||||
|
{0x0, 0x3e, 0x7c, 0x42, 0xf8, 0xc6, 0x84, 0xba, 0xed, 0xd3, 0x91, 0xaf, 0x15, 0x2b, 0x69, 0x57},
|
||||||
|
{0x0, 0xce, 0x81, 0x4f, 0x1f, 0xd1, 0x9e, 0x50, 0x3e, 0xf0, 0xbf, 0x71, 0x21, 0xef, 0xa0, 0x6e},
|
||||||
|
{0x0, 0xde, 0xa1, 0x7f, 0x5f, 0x81, 0xfe, 0x20, 0xbe, 0x60, 0x1f, 0xc1, 0xe1, 0x3f, 0x40, 0x9e},
|
||||||
|
{0x0, 0xee, 0xc1, 0x2f, 0x9f, 0x71, 0x5e, 0xb0, 0x23, 0xcd, 0xe2, 0xc, 0xbc, 0x52, 0x7d, 0x93},
|
||||||
|
{0x0, 0xfe, 0xe1, 0x1f, 0xdf, 0x21, 0x3e, 0xc0, 0xa3, 0x5d, 0x42, 0xbc, 0x7c, 0x82, 0x9d, 0x63},
|
||||||
|
{0x0, 0x8e, 0x1, 0x8f, 0x2, 0x8c, 0x3, 0x8d, 0x4, 0x8a, 0x5, 0x8b, 0x6, 0x88, 0x7, 0x89},
|
||||||
|
{0x0, 0x9e, 0x21, 0xbf, 0x42, 0xdc, 0x63, 0xfd, 0x84, 0x1a, 0xa5, 0x3b, 0xc6, 0x58, 0xe7, 0x79},
|
||||||
|
{0x0, 0xae, 0x41, 0xef, 0x82, 0x2c, 0xc3, 0x6d, 0x19, 0xb7, 0x58, 0xf6, 0x9b, 0x35, 0xda, 0x74},
|
||||||
|
{0x0, 0xbe, 0x61, 0xdf, 0xc2, 0x7c, 0xa3, 0x1d, 0x99, 0x27, 0xf8, 0x46, 0x5b, 0xe5, 0x3a, 0x84},
|
||||||
|
{0x0, 0x53, 0xa6, 0xf5, 0x51, 0x2, 0xf7, 0xa4, 0xa2, 0xf1, 0x4, 0x57, 0xf3, 0xa0, 0x55, 0x6},
|
||||||
|
{0x0, 0x43, 0x86, 0xc5, 0x11, 0x52, 0x97, 0xd4, 0x22, 0x61, 0xa4, 0xe7, 0x33, 0x70, 0xb5, 0xf6},
|
||||||
|
{0x0, 0x73, 0xe6, 0x95, 0xd1, 0xa2, 0x37, 0x44, 0xbf, 0xcc, 0x59, 0x2a, 0x6e, 0x1d, 0x88, 0xfb},
|
||||||
|
{0x0, 0x63, 0xc6, 0xa5, 0x91, 0xf2, 0x57, 0x34, 0x3f, 0x5c, 0xf9, 0x9a, 0xae, 0xcd, 0x68, 0xb},
|
||||||
|
{0x0, 0x13, 0x26, 0x35, 0x4c, 0x5f, 0x6a, 0x79, 0x98, 0x8b, 0xbe, 0xad, 0xd4, 0xc7, 0xf2, 0xe1},
|
||||||
|
{0x0, 0x3, 0x6, 0x5, 0xc, 0xf, 0xa, 0x9, 0x18, 0x1b, 0x1e, 0x1d, 0x14, 0x17, 0x12, 0x11},
|
||||||
|
{0x0, 0x33, 0x66, 0x55, 0xcc, 0xff, 0xaa, 0x99, 0x85, 0xb6, 0xe3, 0xd0, 0x49, 0x7a, 0x2f, 0x1c},
|
||||||
|
{0x0, 0x23, 0x46, 0x65, 0x8c, 0xaf, 0xca, 0xe9, 0x5, 0x26, 0x43, 0x60, 0x89, 0xaa, 0xcf, 0xec},
|
||||||
|
{0x0, 0xd3, 0xbb, 0x68, 0x6b, 0xb8, 0xd0, 0x3, 0xd6, 0x5, 0x6d, 0xbe, 0xbd, 0x6e, 0x6, 0xd5},
|
||||||
|
{0x0, 0xc3, 0x9b, 0x58, 0x2b, 0xe8, 0xb0, 0x73, 0x56, 0x95, 0xcd, 0xe, 0x7d, 0xbe, 0xe6, 0x25},
|
||||||
|
{0x0, 0xf3, 0xfb, 0x8, 0xeb, 0x18, 0x10, 0xe3, 0xcb, 0x38, 0x30, 0xc3, 0x20, 0xd3, 0xdb, 0x28},
|
||||||
|
{0x0, 0xe3, 0xdb, 0x38, 0xab, 0x48, 0x70, 0x93, 0x4b, 0xa8, 0x90, 0x73, 0xe0, 0x3, 0x3b, 0xd8},
|
||||||
|
{0x0, 0x93, 0x3b, 0xa8, 0x76, 0xe5, 0x4d, 0xde, 0xec, 0x7f, 0xd7, 0x44, 0x9a, 0x9, 0xa1, 0x32},
|
||||||
|
{0x0, 0x83, 0x1b, 0x98, 0x36, 0xb5, 0x2d, 0xae, 0x6c, 0xef, 0x77, 0xf4, 0x5a, 0xd9, 0x41, 0xc2},
|
||||||
|
{0x0, 0xb3, 0x7b, 0xc8, 0xf6, 0x45, 0x8d, 0x3e, 0xf1, 0x42, 0x8a, 0x39, 0x7, 0xb4, 0x7c, 0xcf},
|
||||||
|
{0x0, 0xa3, 0x5b, 0xf8, 0xb6, 0x15, 0xed, 0x4e, 0x71, 0xd2, 0x2a, 0x89, 0xc7, 0x64, 0x9c, 0x3f},
|
||||||
|
{0x0, 0xe8, 0xcd, 0x25, 0x87, 0x6f, 0x4a, 0xa2, 0x13, 0xfb, 0xde, 0x36, 0x94, 0x7c, 0x59, 0xb1},
|
||||||
|
{0x0, 0xf8, 0xed, 0x15, 0xc7, 0x3f, 0x2a, 0xd2, 0x93, 0x6b, 0x7e, 0x86, 0x54, 0xac, 0xb9, 0x41},
|
||||||
|
{0x0, 0xc8, 0x8d, 0x45, 0x7, 0xcf, 0x8a, 0x42, 0xe, 0xc6, 0x83, 0x4b, 0x9, 0xc1, 0x84, 0x4c},
|
||||||
|
{0x0, 0xd8, 0xad, 0x75, 0x47, 0x9f, 0xea, 0x32, 0x8e, 0x56, 0x23, 0xfb, 0xc9, 0x11, 0x64, 0xbc},
|
||||||
|
{0x0, 0xa8, 0x4d, 0xe5, 0x9a, 0x32, 0xd7, 0x7f, 0x29, 0x81, 0x64, 0xcc, 0xb3, 0x1b, 0xfe, 0x56},
|
||||||
|
{0x0, 0xb8, 0x6d, 0xd5, 0xda, 0x62, 0xb7, 0xf, 0xa9, 0x11, 0xc4, 0x7c, 0x73, 0xcb, 0x1e, 0xa6},
|
||||||
|
{0x0, 0x88, 0xd, 0x85, 0x1a, 0x92, 0x17, 0x9f, 0x34, 0xbc, 0x39, 0xb1, 0x2e, 0xa6, 0x23, 0xab},
|
||||||
|
{0x0, 0x98, 0x2d, 0xb5, 0x5a, 0xc2, 0x77, 0xef, 0xb4, 0x2c, 0x99, 0x1, 0xee, 0x76, 0xc3, 0x5b},
|
||||||
|
{0x0, 0x68, 0xd0, 0xb8, 0xbd, 0xd5, 0x6d, 0x5, 0x67, 0xf, 0xb7, 0xdf, 0xda, 0xb2, 0xa, 0x62},
|
||||||
|
{0x0, 0x78, 0xf0, 0x88, 0xfd, 0x85, 0xd, 0x75, 0xe7, 0x9f, 0x17, 0x6f, 0x1a, 0x62, 0xea, 0x92},
|
||||||
|
{0x0, 0x48, 0x90, 0xd8, 0x3d, 0x75, 0xad, 0xe5, 0x7a, 0x32, 0xea, 0xa2, 0x47, 0xf, 0xd7, 0x9f},
|
||||||
|
{0x0, 0x58, 0xb0, 0xe8, 0x7d, 0x25, 0xcd, 0x95, 0xfa, 0xa2, 0x4a, 0x12, 0x87, 0xdf, 0x37, 0x6f},
|
||||||
|
{0x0, 0x28, 0x50, 0x78, 0xa0, 0x88, 0xf0, 0xd8, 0x5d, 0x75, 0xd, 0x25, 0xfd, 0xd5, 0xad, 0x85},
|
||||||
|
{0x0, 0x38, 0x70, 0x48, 0xe0, 0xd8, 0x90, 0xa8, 0xdd, 0xe5, 0xad, 0x95, 0x3d, 0x5, 0x4d, 0x75},
|
||||||
|
{0x0, 0x8, 0x10, 0x18, 0x20, 0x28, 0x30, 0x38, 0x40, 0x48, 0x50, 0x58, 0x60, 0x68, 0x70, 0x78},
|
||||||
|
{0x0, 0x18, 0x30, 0x28, 0x60, 0x78, 0x50, 0x48, 0xc0, 0xd8, 0xf0, 0xe8, 0xa0, 0xb8, 0x90, 0x88},
|
||||||
|
{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]
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,188 @@
|
||||||
|
//+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)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,590 @@
|
||||||
|
//+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
|
||||||
|
|
@ -0,0 +1,92 @@
|
||||||
|
//+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]
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,236 @@
|
||||||
|
//+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
|
||||||
|
|
@ -0,0 +1,52 @@
|
||||||
|
//+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) {
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,141 @@
|
||||||
|
//+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
|
||||||
|
|
@ -0,0 +1,34 @@
|
||||||
|
//+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")
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,70 @@
|
||||||
|
//+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) {
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,126 @@
|
||||||
|
//+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
|
||||||
|
|
@ -0,0 +1,132 @@
|
||||||
|
//+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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,160 @@
|
||||||
|
/**
|
||||||
|
* 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
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,279 @@
|
||||||
|
/**
|
||||||
|
* 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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,118 @@
|
||||||
|
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
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,900 @@
|
||||||
|
/**
|
||||||
|
* 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
|
||||||
|
}
|
||||||
|
|
@ -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
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,4 @@
|
||||||
|
[568].out
|
||||||
|
_go*
|
||||||
|
_test*
|
||||||
|
_obj
|
||||||
|
|
@ -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.
|
||||||
|
|
@ -0,0 +1,100 @@
|
||||||
|
# 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)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
```
|
||||||
|
|
@ -0,0 +1,16 @@
|
||||||
|
// 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()
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1 @@
|
||||||
|
module github.com/kr/pty
|
||||||
|
|
@ -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
|
||||||
|
}
|
||||||
|
|
@ -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)
|
||||||
|
}
|
||||||
|
|
@ -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
|
||||||
|
|
@ -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)
|
||||||
|
}
|
||||||
Some files were not shown because too many files have changed in this diff Show More
Loading…
Reference in New Issue