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Evgeniy Kulikov 2018-12-29 16:04:17 +03:00
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# Binaries for programs and plugins
*.exe
*.exe~
*.dll
*.so
*.dylib
# Test binary, build with `go test -c`
*.test
# Output of the go coverage tool, specifically when used with LiteIDE
*.out

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FROM golang:1.11-alpine3.8 as builder
RUN set -x \
&& apk add --no-cache \
git \
curl \
&& mkdir -p /tmp \
&& mkdir -p /fixtures \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/01.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/02.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/03.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/04.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/05.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/06.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/07.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/08.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/09.txt \
&& curl -s https://loripsum.net/api/1/verylong/plaintext | awk 'NF' - | cat > /fixtures/10.txt
COPY . /tzhash
WORKDIR /tzhash
# https://github.com/golang/go/wiki/Modules#how-do-i-use-vendoring-with-modules-is-vendoring-going-away
# go build -mod=vendor
RUN set -x \
&& export CGO_ENABLED=0 \
&& go build -mod=vendor -o /go/bin/homo ./cmd/homo/main.go
# Executable image
FROM alpine:3.8
WORKDIR /fixtures
COPY --from=builder /fixtures /fixtures
COPY --from=builder /go/bin/homo /usr/local/sbin/homo

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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 <https://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
<https://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
<https://www.gnu.org/licenses/why-not-lgpl.html>.

42
Makefile Normal file
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B=\033[0;1m
G=\033[0;92m
R=\033[0m
NAME ?= homo
.PHONY: help attach auto up down
# Show this help prompt
help:
@echo ' Usage:'
@echo ''
@echo ' make <target>'
@echo ''
@echo ' Targets:'
@echo ''
@awk '/^#/{ comment = substr($$0,3) } comment && /^[a-zA-Z][a-zA-Z0-9_-]+ ?:/{ print " ", $$1, comment }' $(MAKEFILE_LIST) | column -t -s ':' | grep -v 'IGNORE' | sort | uniq
# Auto Tillich-Zémor hasher demo
auto: down
@echo "\n${B}${G}build container${R}\n"
@time docker build -t poc-demo .
@echo "\n${B}${G}Bootup container:${R}\n"
@time docker run -d --rm -it --name hash-demo poc-demo:latest sh
@bash ./auto.sh
# Stop demo container
down:
@echo "\n${B}${G}Stop container${R}\n"
@docker stop hash-demo || true
@docker rm hash-demo || true
# Run Tillich-Zémor hasher demo
up: down
@echo "\n${B}${G}build container${R}\n"
@time docker build -t poc-demo .
@echo "\n${B}${G}enter inside container:${R}\n"
@time docker run --rm -it --name hash-demo poc-demo:latest sh
# Attach to existing container
attach:
@echo "\n${B}${G} attach to hash-container ${R}\n"
@time docker exec -it --name hash-demo /bin/sh

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# Demo
[![asciicast](https://asciinema.org/a/IArEDLTrQyabI3agSSpINoqNu.svg)](https://asciinema.org/a/IArEDLTrQyabI3agSSpINoqNu)
**In project root:**
```bash
# show help
make
# run auto demo
make auto
```
# Homomorphic hashing in golang
Package **tz** containts pure-Go implementation of hashing function described by Tillich and Źemor in [1] .
There are existing implementations already (e.g. [2]), however it is written in C.
Package **gf127** contains arithmetic in GF(2^127) with _x^127+x^63+1_ as reduction polynomial.
# Description
It can be used instead of Merkle-tree for data-validation, because homomorphic hashes
are concatable: hash sum of data can be calculated based on hashes of chunks.
The example of how it works can be seen in tests.
# Contributing
At this moment, we do not accept contributions. Follow us.
# Makefile
```
→ make
Usage:
make <target>
Targets:
attach Attach to existing container
auto Auto Tillich-Zémor hasher demo
down Stop demo container
help Show this help prompt
up Run Tillich-Zémor hasher demo
```
# Links
[1] https://link.springer.com/content/pdf/10.1007/3-540-48658-5_5.pdf
[2] https://github.com/srijs/hwsl2-core

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#!/usr/bin/env bash
B="\033[0;1m"
G="\033[0;92m"
R="\033[0m"
echo -e "${B}${G}Let's make some hash${R}"
echo -e "\n${B}${G} - cleanup environment${R}"
echo -e "remove files: small.hash, large.hash, large.txt"
docker exec -it hash-demo sh -c "rm -rf small.hash"
docker exec -it hash-demo sh -c "rm -rf large.hash"
docker exec -it hash-demo sh -c "rm -rf large.txt"
echo -e "\n${B}${G} - make large file (concat small files)${R}"
for i in $(seq -f "%02g" 10)
do
echo " #> cat $i.txt >> large.txt"
docker exec -it hash-demo sh -c "cat $i.txt >> large.txt"
done
echo -e "\n${B}${G} - make hash of small files${R}"
for i in $(seq -f "%02g" 10)
do
echo -e " #> homo -file $i.txt | tee -a small.hash"
docker exec -it hash-demo sh -c "homo -file $i.txt | tee -a small.hash"
done
echo -e "\n${B}${G} - make hash of large${R}"
echo -e " #> homo -file large.txt | homo -concat"
docker exec -it hash-demo sh -c 'homo -file large.txt | homo -concat'
echo -e "\n${B}${G} - make hash of pieces${R}"
echo -e " #> cat small.hash | homo -concat"
docker exec -it hash-demo sh -c 'cat small.hash | homo -concat '

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benchmark Executable file
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#!/bin/bash
#tmpfile=$(mktemp /tmp/random-file.XXXXXX)
#size=$1
#dd if=/dev/urandom of=$tmpfile bs=$size count=1
tmpfile=$1
go build ./cmd/tzsum && \
for c in tzC tz tzbits; do
./tzsum -cpuprofile cpu.prof -name $tmpfile -hash $c
echo top | go tool pprof cpu.prof
echo
done

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package main
import (
"bufio"
"encoding/hex"
"flag"
"fmt"
"os"
"github.com/nspcc-dev/tzhash/tz"
)
var (
concat = flag.Bool("concat", false, "Concatenate hashes")
filename = flag.String("file", "", "File to read from")
)
func main() {
var (
err error
file = os.Stdin
lines = make([]string, 0, 10)
)
flag.Parse()
if *filename != "" {
if file, err = os.Open(*filename); err != nil {
fatal("error while opening file: %v", err)
}
}
for f := bufio.NewScanner(file); f.Scan(); {
lines = append(lines, f.Text())
}
if *concat {
var (
h []byte
hashes = make([][]byte, len(lines))
)
for i := range lines {
if hashes[i], err = hex.DecodeString(lines[i]); err != nil {
fatal("error while decoding hex-string: %v", err)
}
}
h, err := tz.Concat(hashes)
if err != nil {
fatal("error while concatenating hashes: %v", err)
}
fmt.Println(hex.EncodeToString(h))
return
}
for i := range lines {
h := tz.Sum([]byte(lines[i]))
fmt.Println(hex.EncodeToString(h[:]))
}
}
func fatal(msg string, args ...interface{}) {
fmt.Printf(msg+"\n", args...)
os.Exit(1)
}

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package main
import (
"flag"
"fmt"
"io"
"log"
"os"
"runtime"
"runtime/pprof"
"github.com/nspcc-dev/tzhash/tz"
)
var (
cpuprofile = flag.String("cpuprofile", "", "write cpu profile to `file`")
memprofile = flag.String("memprofile", "", "write memory profile to `file`")
filename = flag.String("name", "-", "file to use")
)
func main() {
var (
f io.Reader
err error
h = tz.New()
)
flag.Parse()
if *cpuprofile != "" {
f, err := os.Create(*cpuprofile)
if err != nil {
log.Fatal("could not create CPU profile: ", err)
}
if err := pprof.StartCPUProfile(f); err != nil {
log.Fatal("could not start CPU profile: ", err)
}
defer pprof.StopCPUProfile()
}
if *filename != "-" {
if f, err = os.Open(*filename); err != nil {
log.Fatal("could not open file: ", err)
}
} else {
f = os.Stdin
}
if _, err := io.Copy(h, f); err != nil {
log.Fatal("error while reading file: ", err)
}
fmt.Printf("%x\t%s\n", h.Sum(nil), *filename)
if *memprofile != "" {
f, err := os.Create(*memprofile)
if err != nil {
log.Fatal("could not create memory profile: ", err)
}
runtime.GC() // get up-to-date statistics
if err := pprof.WriteHeapProfile(f); err != nil {
log.Fatal("could not write memory profile: ", err)
}
f.Close()
}
}

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// Copyright 2018 (c) NSPCC
//
// Package gf127 implements the GF(2^127) arithmetic
// modulo reduction polynomial x^127 + x^63 + 1 .
// This is rather straight-forward re-implementation of C library
// available here https://github.com/srijs/hwsl2-core .
// Interfaces are highly influenced by math/big .
package gf127
import (
"encoding/binary"
"encoding/hex"
"errors"
)
// GF127 represents element of GF(2^127)
type GF127 [2]uint64
const msb64 = 0x8000000000000000
const byteSize = 16
// x127x64 represents x^127 + x^63. Used in assembly file.
var x127x63 = GF127{msb64, msb64}
// New constructs new element of GF(2^127) as hi*x^64 + lo.
// It is assumed that hi has zero MSB.
func New(lo, hi uint64) *GF127 {
return &GF127{lo, hi}
}
// String returns hex-encoded representation, starting with MSB.
func (c *GF127) String() string {
return hex.EncodeToString(c.ByteArray())
}
// Equals checks if two reduced (zero MSB) elements of GF(2^127) are equal
func (c *GF127) Equals(b *GF127) bool {
return c[0] == b[0] && c[1] == b[1]
}
// ByteArray represents element of GF(2^127) as byte array of length 16.
func (c *GF127) ByteArray() (buf []byte) {
buf = make([]byte, 16)
binary.BigEndian.PutUint64(buf[:8], c[1])
binary.BigEndian.PutUint64(buf[8:], c[0])
return
}
// MarshalBinary implements encoding.BinaryMarshaler.
func (c *GF127) MarshalBinary() (data []byte, err error) {
return c.ByteArray(), nil
}
// UnmarshalBinary implements encoding.BinaryUnmarshaler.
func (c *GF127) UnmarshalBinary(data []byte) error {
if len(data) != byteSize {
return errors.New("data must be 16-bytes long")
}
c[0] = binary.BigEndian.Uint64(data[8:])
c[1] = binary.BigEndian.Uint64(data[:8])
if c[1]&msb64 != 0 {
return errors.New("MSB must be zero")
}
return nil
}
// Mul sets c to the product a*b and returns c.
func (c *GF127) Mul(a, b *GF127) *GF127 {
Mul(a, b, c)
return c
}
// Add sets c to the sum a+b and returns c.
func (c *GF127) Add(a, b *GF127) *GF127 {
Add(a, b, c)
return c
}
// Mul1 copies a to b.
func Mul1(a, b *GF127) {
b[0] = a[0]
b[1] = a[1]
}
// And sets c to a & b (bitwise-and).
func And(a, b, c *GF127) {
c[0] = a[0] & b[0]
c[1] = a[1] & b[1]
}
// Add sets c to a+b.
func Add(a, b, c *GF127)
// Mul sets c to a*b.
func Mul(a, b, c *GF127)
// Mul10 sets y to a*x.
func Mul10(a, b *GF127)
// Mul11 sets y to a*(x+1).
func Mul11(a, b *GF127)

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gf127/gf127_amd64.s Normal file
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#include "textflag.h"
// func Add(a, b, c *[2]uint64)
TEXT ·Add(SB),NOSPLIT,$0
MOVQ a+0(FP), AX
MOVUPD (AX), X0
MOVQ b+8(FP), BX
MOVUPD (BX), X1
XORPD X1, X0
MOVQ c+16(FP), CX
MOVUPD X0, (CX)
RET
// func Mul10(a, b *[2]uint64)
TEXT ·Mul10(SB),NOSPLIT,$0
MOVQ a+0(FP), AX
MOVUPD (AX), X0
VPSLLQ $1, X0, X1
VPALIGNR $8, X1, X0, X2
PSRLQ $63, X2
MOVUPD ·x127x63(SB), X3
ANDPD X1, X3
VPUNPCKHQDQ X3, X3, X3
XORPD X2, X1
XORPD X3, X1
MOVQ b+8(FP), AX
MOVUPD X1, (AX)
RET
// func Mul11(a, b *[2]uint64)
TEXT ·Mul11(SB),NOSPLIT,$0
MOVQ a+0(FP), AX
MOVUPD (AX), X0
VPSLLQ $1, X0, X1
VPALIGNR $8, X1, X0, X2
PSRLQ $63, X2
MOVUPD ·x127x63(SB), X3
ANDPD X1, X3
VPUNPCKHQDQ X3, X3, X3
XORPD X2, X1
XORPD X3, X1
XORPD X0, X1
MOVQ b+8(FP), AX
MOVUPD X1, (AX)
RET
// func Mul(a, b, c *[2]uint64)
TEXT ·Mul(SB),NOSPLIT,$0
MOVQ a+0(FP), AX // X0 = a0 . a1
MOVUPD (AX), X0 // X0 = a0 . a1
MOVQ b+8(FP), BX // X1 = b0 . b1
MOVUPD (BX), X1 // X1 = b0 . b1
VPUNPCKLQDQ X1, X0, X2 // X2 = a0 . b0
VPUNPCKHQDQ X1, X0, X3 // X3 = a1 . b1
XORPD X2, X3 // X3 = (a0 + a1) . (b0 + b1)
PCLMULQDQ $0x10, X3, X3 // X3 = (a0 + a1) * (b0 + b1)
VPCLMULQDQ $0x00, X0, X1, X4 // X4 = a0 * b0
VPCLMULQDQ $0x11, X0, X1, X5 // X5 = a1 * b1
XORPD X4, X3 //
XORPD X5, X3 // X3 = a0 * b1 + a1 * b0
VPSLLDQ $8, X3, X2 //
XORPD X2, X4 // X4 = a0 * b0 + lo(X3)
VPSRLDQ $8, X3, X6 //
XORPD X6, X5 // X5 = a1 * b1 + hi(X3)
// at this point, a * b = X4 . X5 (as 256-bit number)
// reduction modulo x^127 + x^63 + 1
VPALIGNR $8, X4, X5, X3
XORPD X5, X3
PSLLQ $1, X5
XORPD X5, X4
VPUNPCKHQDQ X3, X5, X5
XORPD X5, X4
PSRLQ $63, X3
XORPD X3, X4
VPUNPCKLQDQ X3, X3, X5
PSLLQ $63, X5
XORPD X5, X4
MOVQ c+16(FP), CX
MOVUPD X4, (CX)
RET

69
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package gf127
import (
"math/rand"
"testing"
)
const maxUint64 = ^uint64(0)
func TestAdd(t *testing.T) {
a := &GF127{rand.Uint64(), rand.Uint64() >> 1}
b := &GF127{rand.Uint64(), rand.Uint64() >> 1}
e := &GF127{a[0] ^ b[0], a[1] ^ b[1]}
c := &GF127{0, 0}
c.Add(a, b)
if e[0] != c[0] || e[1] != c[1] {
t.Errorf("expected (%s), got (%s)", e.String(), c.String())
}
}
var testCasesMul = [][3]*GF127{
// (x+1)*(x^63+x^62+...+1) == x^64+1
{&GF127{3, 0}, &GF127{maxUint64, 0}, &GF127{1, 1}},
// x^126 * x^2 == x^128 == x^64 + x
{&GF127{0, 1 << 62}, &GF127{4, 0}, &GF127{2, 1}},
// (x^64+x^63+1) * (x^64+x) == x^128+x^65+x^127+x^64+x^64+x == x^65+x^64+x^63+1
{&GF127{1 + 1<<63, 1}, &GF127{2, 1}, &GF127{0x8000000000000001, 3}},
}
func TestMul(t *testing.T) {
c := &GF127{0, 0}
for _, tc := range testCasesMul {
if Mul(tc[0], tc[1], c); !c.Equals(tc[2]) {
t.Errorf("expected (%s), got (%s)", c.String(), tc[2].String())
}
}
}
var testCasesMul10 = [][2]*GF127{
{&GF127{123, 0}, &GF127{246, 0}},
{&GF127{maxUint64, 2}, &GF127{maxUint64 - 1, 5}},
{&GF127{0, maxUint64 >> 1}, &GF127{1 + 1<<63, maxUint64>>1 - 1}},
}
func TestMul10(t *testing.T) {
c := &GF127{0, 0}
for _, tc := range testCasesMul10 {
if Mul10(tc[0], c); !c.Equals(tc[1]) {
t.Errorf("expected (%s), got (%s)", tc[1].String(), c.String())
}
}
}
var testCasesMul11 = [][2]*GF127{
{&GF127{123, 0}, &GF127{141, 0}},
{&GF127{maxUint64, 2}, &GF127{1, 7}},
{&GF127{0, maxUint64 >> 1}, &GF127{1 + 1<<63, 1}},
}
func TestMul11(t *testing.T) {
c := &GF127{0, 0}
for _, tc := range testCasesMul11 {
if Mul11(tc[0], c); !c.Equals(tc[1]) {
t.Errorf("expected (%s), got (%s)", tc[1].String(), c.String())
}
}
}

3
go.mod Normal file
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module github.com/nspcc-dev/tzhash
require github.com/onsi/gomega v1.4.2

26
go.sum Normal file
View file

@ -0,0 +1,26 @@
github.com/fsnotify/fsnotify v1.4.7 h1:IXs+QLmnXW2CcXuY+8Mzv/fWEsPGWxqefPtCP5CnV9I=
github.com/fsnotify/fsnotify v1.4.7/go.mod h1:jwhsz4b93w/PPRr/qN1Yymfu8t87LnFCMoQvtojpjFo=
github.com/golang/protobuf v1.2.0 h1:P3YflyNX/ehuJFLhxviNdFxQPkGK5cDcApsge1SqnvM=
github.com/golang/protobuf v1.2.0/go.mod h1:6lQm79b+lXiMfvg/cZm0SGofjICqVBUtrP5yJMmIC1U=
github.com/hpcloud/tail v1.0.0 h1:nfCOvKYfkgYP8hkirhJocXT2+zOD8yUNjXaWfTlyFKI=
github.com/hpcloud/tail v1.0.0/go.mod h1:ab1qPbhIpdTxEkNHXyeSf5vhxWSCs/tWer42PpOxQnU=
github.com/onsi/ginkgo v1.6.0 h1:Ix8l273rp3QzYgXSR+c8d1fTG7UPgYkOSELPhiY/YGw=
github.com/onsi/ginkgo v1.6.0/go.mod h1:lLunBs/Ym6LB5Z9jYTR76FiuTmxDTDusOGeTQH+WWjE=
github.com/onsi/gomega v1.4.2 h1:3mYCb7aPxS/RU7TI1y4rkEn1oKmPRjNJLNEXgw7MH2I=
github.com/onsi/gomega v1.4.2/go.mod h1:ex+gbHU/CVuBBDIJjb2X0qEXbFg53c61hWP/1CpauHY=
golang.org/x/net v0.0.0-20180906233101-161cd47e91fd h1:nTDtHvHSdCn1m6ITfMRqtOd/9+7a3s8RBNOZ3eYZzJA=
golang.org/x/net v0.0.0-20180906233101-161cd47e91fd/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
golang.org/x/sync v0.0.0-20180314180146-1d60e4601c6f h1:wMNYb4v58l5UBM7MYRLPG6ZhfOqbKu7X5eyFl8ZhKvA=
golang.org/x/sync v0.0.0-20180314180146-1d60e4601c6f/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
golang.org/x/sys v0.0.0-20180909124046-d0be0721c37e h1:o3PsSEY8E4eXWkXrIP9YJALUkVZqzHJT5DOasTyn8Vs=
golang.org/x/sys v0.0.0-20180909124046-d0be0721c37e/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
golang.org/x/text v0.3.0 h1:g61tztE5qeGQ89tm6NTjjM9VPIm088od1l6aSorWRWg=
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/fsnotify.v1 v1.4.7 h1:xOHLXZwVvI9hhs+cLKq5+I5onOuwQLhQwiu63xxlHs4=
gopkg.in/fsnotify.v1 v1.4.7/go.mod h1:Tz8NjZHkW78fSQdbUxIjBTcgA1z1m8ZHf0WmKUhAMys=
gopkg.in/tomb.v1 v1.0.0-20141024135613-dd632973f1e7 h1:uRGJdciOHaEIrze2W8Q3AKkepLTh2hOroT7a+7czfdQ=
gopkg.in/tomb.v1 v1.0.0-20141024135613-dd632973f1e7/go.mod h1:dt/ZhP58zS4L8KSrWDmTeBkI65Dw0HsyUHuEVlX15mw=
gopkg.in/yaml.v2 v2.2.1 h1:mUhvW9EsL+naU5Q3cakzfE91YhliOondGd6ZrsDBHQE=
gopkg.in/yaml.v2 v2.2.1/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=

136
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// Copyright 2018 (c) NSPCC
//
// Package tz implements general Tillich-Zemo
package tz
import (
"errors"
"hash"
"math"
"github.com/nspcc-dev/tzhash/gf127"
)
const (
hashSize = 64
hashBlockSize = 128
)
type digest struct {
x [4]gf127.GF127
}
// type assertion
var _ hash.Hash = new(digest)
var (
minmax = [2]gf127.GF127{{0, 0}, {math.MaxUint64, math.MaxUint64}}
x127x63 = gf127.GF127{1 << 63, 1 << 63}
)
// New returns a new hash.Hash computing the Tillich-Zémor checksum.
func New() hash.Hash {
d := new(digest)
d.Reset()
return d
}
func (d *digest) Sum(in []byte) []byte {
// Make a copy of d so that caller can keep writing and summing.
d0 := *d
h := d0.checkSum()
return append(in, h[:]...)
}
func (d *digest) checkSum() [hashSize]byte {
return d.byteArray()
}
func (d *digest) byteArray() (b [hashSize]byte) {
var t []byte
for i := 0; i < 4; i++ {
t = d.x[i].ByteArray()
copy(b[i*16:], t)
}
return
}
func (d *digest) Reset() {
d.x[0] = gf127.GF127{1, 0}
d.x[1] = gf127.GF127{0, 0}
d.x[2] = gf127.GF127{0, 0}
d.x[3] = gf127.GF127{1, 0}
}
func (d *digest) Write(data []byte) (n int, err error) {
n = len(data)
for _, b := range data {
mulBitRight(&d.x[0], &d.x[1], &d.x[2], &d.x[3], &minmax[(b>>7)&1])
mulBitRight(&d.x[0], &d.x[1], &d.x[2], &d.x[3], &minmax[(b>>6)&1])
mulBitRight(&d.x[0], &d.x[1], &d.x[2], &d.x[3], &minmax[(b>>5)&1])
mulBitRight(&d.x[0], &d.x[1], &d.x[2], &d.x[3], &minmax[(b>>4)&1])
mulBitRight(&d.x[0], &d.x[1], &d.x[2], &d.x[3], &minmax[(b>>3)&1])
mulBitRight(&d.x[0], &d.x[1], &d.x[2], &d.x[3], &minmax[(b>>2)&1])
mulBitRight(&d.x[0], &d.x[1], &d.x[2], &d.x[3], &minmax[(b>>1)&1])
mulBitRight(&d.x[0], &d.x[1], &d.x[2], &d.x[3], &minmax[(b>>0)&1])
}
return
}
func (d *digest) Size() int {
return hashSize
}
func (d *digest) BlockSize() int {
return hashBlockSize
}
// Sum returnz Tillich-Zémor checksum of data
func Sum(data []byte) [hashSize]byte {
d := new(digest)
d.Reset()
d.Write(data)
return d.checkSum()
}
// Concat performs combining of hashes based on homomorphic property.
func Concat(hs [][]byte) ([]byte, error) {
var b, c sl2
b = id
for i := range hs {
if err := c.UnmarshalBinary(hs[i]); err != nil {
return nil, err
}
b.Mul(&b, &c)
}
return b.MarshalBinary()
}
// Validate checks if hashes in hs combined are equal to h.
func Validate(h []byte, hs [][]byte) (bool, error) {
var (
b []byte
got, expected [hashSize]byte
err error
)
if len(h) != hashSize {
return false, errors.New("invalid hash")
} else if len(hs) == 0 {
return false, errors.New("empty slice")
}
copy(expected[:], h)
b, err = Concat(hs)
if err != nil {
return false, errors.New("cant concatenate hashes")
}
copy(got[:], b)
return expected == got, nil
}
func mulBitRight(c00, c01, c10, c11, e *gf127.GF127)

109
tz/hash_test.go Normal file
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package tz
import (
"encoding/hex"
"math/rand"
"testing"
. "github.com/onsi/gomega"
)
func TestHash(t *testing.T) {
var (
c1, c2 sl2
n int
err error
h, h1, h2 [hashSize]byte
b []byte
)
g := NewGomegaWithT(t)
b = make([]byte, 64)
n, err = rand.Read(b)
g.Expect(n).To(Equal(64))
g.Expect(err).NotTo(HaveOccurred())
// Test if our hashing is really homomorphic
h = Sum(b)
h1 = Sum(b[:32])
h2 = Sum(b[32:])
err = c1.UnmarshalBinary(h1[:])
g.Expect(err).NotTo(HaveOccurred())
err = c2.UnmarshalBinary(h2[:])
g.Expect(err).NotTo(HaveOccurred())
c1.Mul(&c1, &c2)
g.Expect(c1.ByteArray()).To(Equal(h))
}
var testCases = []struct {
Hash string
Parts []string
}{{
Hash: "7f5c9280352a8debea738a74abd4ec787f2c5e556800525692f651087442f9883bb97a2c1bc72d12ba26e3df8dc0f670564292ebc984976a8e353ff69a5fb3cb",
Parts: []string{
"4275945919296224acd268456be23b8b2df931787a46716477e32cd991e98074029d4f03a0fedc09125ee4640d228d7d40d430659a0b2b70e9cd4d4c5361865a",
"2828661d1b1e77f21788d3b365f140a2395d57dc2083c33e60d9a80e69017d5016a249c7adfe1718a10ba887dedbdaec5c4c1fbecdb1f98776b43f1142c26a88",
"02310598b45dfa77db9f00eed6ab60773dd8bed7bdac431b42e441fae463f64c6e2688402cfdcec5def47a299b0651fb20878cf4410991bd57056d7b4b31635a",
"1ed7e0b065c060d915e7355cdcb4edc752c06d2a4b39d90c8985aeb58e08cb9e5bbe4b2b45524efbd68cd7e4081a1b8362941200a4c9f76a0a9f9ac9b7868c03",
"6f11e3dc4fff99ffa45e36e4655cfc657c29e950e598a90f426bf5710de9171323523db7636643b23892783f4fb3cf8e583d584c82d29558a105a615a668fc9e",
"1865dbdb4c849620fb2c4809d75d62490f83c11f2145abaabbdc9a66ae58ce1f2e42c34d3b380e5dea1b45217750b42d130f995b162afbd2e412b0d41ec8871b",
"5102dd1bd1f08f44dbf3f27ac895020d63f96044ce3b491aed3efbc7bbe363bc5d800101d63890f89a532427812c30c9674f37476ba44daf758afa88d4f91063",
"70cab735dad90164cc61f7411396221c4e549f12392c0d77728c89a9754f606c7d961169d4fa88133a1ba954bad616656c86f8fd1335a2f3428fd4dca3a3f5a5",
"430f3e92536ff9a50cbcdf08d8810a59786ca37e31d54293646117a93469f61c6cdd67933128407d77f3235293293ee86dbc759d12dfe470969eba1b4a373bd0",
"46e1d97912ca2cf92e6a9a63667676835d900cdb2fff062136a64d8d60a8e5aa644ccee3558900af8e77d56b013ed5da12d9d0b7de0f56976e040b3d01345c0d",
},
}}
func TestConcat(t *testing.T) {
var (
got, expected []byte
ps [][]byte
err error
)
g := NewGomegaWithT(t)
for _, tc := range testCases {
expected, err = hex.DecodeString(tc.Hash)
g.Expect(err).NotTo(HaveOccurred())
ps = make([][]byte, len(tc.Parts))
for j := 0; j < len(tc.Parts); j++ {
ps[j], err = hex.DecodeString(tc.Parts[j])
g.Expect(err).NotTo(HaveOccurred())
}
got, err = Concat(ps)
g.Expect(err).NotTo(HaveOccurred())
g.Expect(got).To(Equal(expected))
}
}
func TestValidate(t *testing.T) {
var (
hash []byte
ps [][]byte
got bool
err error
)
g := NewGomegaWithT(t)
for _, tc := range testCases {
hash, _ = hex.DecodeString(tc.Hash)
g.Expect(err).NotTo(HaveOccurred())
ps = make([][]byte, len(tc.Parts))
for j := 0; j < len(tc.Parts); j++ {
ps[j], _ = hex.DecodeString(tc.Parts[j])
g.Expect(err).NotTo(HaveOccurred())
}
got, err = Validate(hash, ps)
g.Expect(err).NotTo(HaveOccurred())
g.Expect(got).To(Equal(true))
}
}

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package tz
import (
"errors"
"github.com/nspcc-dev/tzhash/gf127"
)
type sl2 [2][2]gf127.GF127
var id = sl2{
{gf127.GF127{1, 0}, gf127.GF127{0, 0}},
{gf127.GF127{0, 0}, gf127.GF127{1, 0}},
}
func (c *sl2) MarshalBinary() (data []byte, err error) {
s := c.ByteArray()
return s[:], nil
}
func (c *sl2) UnmarshalBinary(data []byte) (err error) {
if len(data) != 64 {
return errors.New("data must be 64-bytes long")
}
if err = c[0][0].UnmarshalBinary(data[:16]); err != nil {
return
}
if err = c[0][1].UnmarshalBinary(data[16:32]); err != nil {
return
}
if err = c[1][0].UnmarshalBinary(data[32:48]); err != nil {
return
}
if err = c[1][1].UnmarshalBinary(data[48:64]); err != nil {
return
}
return
}
func (c *sl2) mulStrassen(a, b *sl2, x *[8]gf127.GF127) *sl2 {
// strassen algorithm
gf127.Add(&a[0][0], &a[1][1], &x[0])
gf127.Add(&b[0][0], &b[1][1], &x[1])
gf127.Mul(&x[0], &x[1], &x[0])
gf127.Add(&a[1][0], &a[1][1], &x[1])
gf127.Mul(&x[1], &b[0][0], &x[1])
gf127.Add(&b[0][1], &b[1][1], &x[2])
gf127.Mul(&x[2], &a[0][0], &x[2])
gf127.Add(&b[1][0], &b[0][0], &x[3])
gf127.Mul(&x[3], &a[1][1], &x[3])
gf127.Add(&a[0][0], &a[0][1], &x[4])
gf127.Mul(&x[4], &b[1][1], &x[4])
gf127.Add(&a[1][0], &a[0][0], &x[5])
gf127.Add(&b[0][0], &b[0][1], &x[6])
gf127.Mul(&x[5], &x[6], &x[5])
gf127.Add(&a[0][1], &a[1][1], &x[6])
gf127.Add(&b[1][0], &b[1][1], &x[7])
gf127.Mul(&x[6], &x[7], &x[6])
gf127.Add(&x[2], &x[4], &c[0][1])
gf127.Add(&x[1], &x[3], &c[1][0])
gf127.Add(&x[4], &x[6], &x[4])
gf127.Add(&x[0], &x[3], &c[0][0])
gf127.Add(&c[0][0], &x[4], &c[0][0])
gf127.Add(&x[0], &x[1], &x[0])
gf127.Add(&x[2], &x[5], &c[1][1])
gf127.Add(&c[1][1], &x[0], &c[1][1])
return c
}
func (c *sl2) mul(a, b *sl2, x *[4]gf127.GF127) *sl2 {
// naive implementation
gf127.Mul(&a[0][0], &b[0][0], &x[0])
gf127.Mul(&a[0][0], &b[0][1], &x[1])
gf127.Mul(&a[1][0], &b[0][0], &x[2])
gf127.Mul(&a[1][0], &b[0][1], &x[3])
gf127.Mul(&a[0][1], &b[1][0], &c[0][0])
gf127.Add(&c[0][0], &x[0], &c[0][0])
gf127.Mul(&a[0][1], &b[1][1], &c[0][1])
gf127.Add(&c[0][1], &x[1], &c[0][1])
gf127.Mul(&a[1][1], &b[1][0], &c[1][0])
gf127.Add(&c[1][0], &x[2], &c[1][0])
gf127.Mul(&a[1][1], &b[1][1], &c[1][1])
gf127.Add(&c[1][1], &x[3], &c[1][1])
return c
}
func (c *sl2) MulA() *sl2 {
var a gf127.GF127
gf127.Mul10(&c[0][0], &a)
gf127.Mul1(&c[0][0], &c[0][1])
gf127.Add(&a, &c[0][1], &c[0][0])
gf127.Mul10(&c[1][0], &a)
gf127.Mul1(&c[1][0], &c[1][1])
gf127.Add(&a, &c[1][1], &c[1][0])
return c
}
func (c *sl2) MulB() *sl2 {
var a gf127.GF127
gf127.Mul1(&c[0][0], &a)
gf127.Mul10(&c[0][0], &c[0][0])
gf127.Add(&c[0][1], &c[0][0], &c[0][0])
gf127.Add(&c[0][0], &a, &c[0][1])
gf127.Mul1(&c[1][0], &a)
gf127.Mul10(&c[1][0], &c[1][0])
gf127.Add(&c[1][1], &c[1][0], &c[1][0])
gf127.Add(&c[1][0], &a, &c[1][1])
return c
}
func (c *sl2) Mul(a, b *sl2) *sl2 {
return c.mul(a, b, new([4]gf127.GF127))
}
func (c *sl2) String() string {
return c[0][0].String() + c[0][1].String() +
c[1][0].String() + c[1][1].String()
}
func (c *sl2) ByteArray() (b [hashSize]byte) {
t := c[0][0].ByteArray()
copy(b[:], t)
t = c[0][1].ByteArray()
copy(b[16:], t)
t = c[1][0].ByteArray()
copy(b[32:], t)
t = c[1][1].ByteArray()
copy(b[48:], t)
return
}

38
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package tz
import (
"math"
"math/rand"
"testing"
"time"
"github.com/nspcc-dev/tzhash/gf127"
. "github.com/onsi/gomega"
)
func init() {
rand.Seed(time.Now().UnixNano())
}
func u64() uint64 {
return rand.Uint64() & (math.MaxUint64 >> 1)
}
func TestSL2_MarshalBinary(t *testing.T) {
g := NewGomegaWithT(t)
a := new(sl2)
a[0][0] = *gf127.New(u64(), u64())
a[0][1] = *gf127.New(u64(), u64())
a[1][0] = *gf127.New(u64(), u64())
a[1][1] = *gf127.New(u64(), u64())
data, err := a.MarshalBinary()
g.Expect(err).NotTo(HaveOccurred())
b := new(sl2)
err = b.UnmarshalBinary(data)
g.Expect(err).NotTo(HaveOccurred())
g.Expect(a).To(Equal(b))
}

62
tz/tzbits_amd64.s Normal file
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#include "textflag.h"
// func mulBitRight(c00, c01, c10, c11, e *[2]uint64)
TEXT ·mulBitRight(SB),NOSPLIT,$0
MOVQ c00+0(FP), AX
MOVUPD (AX), X0
MOVUPD X0, X8 // remember c00 value
MOVQ c01+8(FP), BX
MOVUPD (BX), X1
MOVQ c10+16(FP), CX
MOVUPD (CX), X2
MOVUPD X2, X9 // remember c10 value
MOVQ c11+24(FP), DX
MOVUPD (DX), X3
// c00 *= 2
VPSLLQ $1, X0, X5
VPALIGNR $8, X5, X0, X6
PSRLQ $63, X6
MOVUPD ·x127x63(SB), X7
ANDPD X5, X7
VPUNPCKHQDQ X7, X7, X7
XORPD X6, X5
XORPD X7, X5
MOVUPD X5, X0
// c00 += c01
XORPD X1, X0
MOVUPD X0, (AX)
// c10 *= 2
VPSLLQ $1, X2, X5
VPALIGNR $8, X5, X2, X6
PSRLQ $63, X6
MOVUPD ·x127x63(SB), X7
ANDPD X5, X7
VPUNPCKHQDQ X7, X7, X7
XORPD X6, X5
XORPD X7, X5
MOVUPD X5, X2
// c10 += c11
XORPD X3, X2
MOVUPD X2, (CX)
MOVQ e+32(FP), AX
MOVUPD (AX), X5
// c01 = c00 + e
VANDPD X0, X5, X1
// c01 += X8 (old c00)
XORPD X8, X1
MOVUPD X1, (BX)
// c11 = c10 + e
VANDPD X2, X5, X3
// c11 += X9 (old c10)
XORPD X9, X3
MOVUPD X3, (DX)
RET