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Restructure code layout

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Provide default implementations in gf127 package and
all optimizations in subpackages. This way it will be easier
to use from a client.
This commit is contained in:
Evgenii Stratonikov 2019-10-15 12:10:39 +03:00
parent c5fb08aece
commit d891a9c591
15 changed files with 346 additions and 431 deletions
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70
gogf127/gogf127.go → gf127/arith.go
View file

@ -3,22 +3,10 @@
// Package gf127 implements the GF(2^127) arithmetic
// modulo reduction polynomial x^127 + x^63 + 1 .
// Implementation is in pure Go.
package gogf127
package gf127
import (
"encoding/binary"
"encoding/hex"
"errors"
"math/bits"
"math/rand"
)
// GF127 represents element of GF(2^127)
type GF127 [2]uint64
const (
msb64 = uint64(0x8000000000000000)
byteSize = 16
)
var (
@ -32,50 +20,6 @@ func New(lo, hi uint64) *GF127 {
return &GF127{lo, hi}
}
// Random returns random element from GF(2^127).
// Is used mostly for testing.
func Random() *GF127 {
return &GF127{rand.Uint64(), rand.Uint64() >> 1}
}
// 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
}
// Inv sets b to a^-1
// Algorithm is based on Extended Euclidean Algorithm
// and is described by Hankerson, Hernandez, Menezes in
@ -129,18 +73,6 @@ func msb(a *GF127) (x int) {
return 127 - x
}
// 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]

4
gogf127/gf127_test.go → gf127/arith_test.go
View file

@ -1,4 +1,4 @@
package gogf127
package gf127
import (
"testing"
@ -6,8 +6,6 @@ import (
"github.com/stretchr/testify/require"
)
const maxUint64 = ^uint64(0)
func TestAdd(t *testing.T) {
var (
a = Random()

103
gf127/avx/gf127.go Normal file
View file

@ -0,0 +1,103 @@
// 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 avx
import (
"math/bits"
"github.com/nspcc-dev/tzhash/gf127"
)
type GF127 = gf127.GF127
const msb64 = uint64(1) << 63
var (
// x127x63 represents x^127 + x^63. Used in assembly file.
x127x63 = GF127{msb64, msb64}
// x126x631 is reduction polynomial x^127+x^63+1
x127x631 = GF127{msb64 + 1, msb64}
)
// Inv sets b to a^-1
// Algorithm is based on Extended Euclidean Algorithm
// and is described by Hankerson, Hernandez, Menezes in
// https://link.springer.com/content/pdf/10.1007/3-540-44499-8_1.pdf
func Inv(a, b *GF127) {
var (
v = x127x631
u = *a
c, d = &GF127{1, 0}, &GF127{0, 0}
t = new(GF127)
x *GF127
)
// degree of polynomial is a position of most significant bit
for du, dv := msb(&u), msb(&v); du != 0; du, dv = msb(&u), msb(&v) {
if du < dv {
v, u = u, v
dv, du = du, dv
d, c = c, d
}
x = xN(du - dv)
Mul(x, &v, t)
Add(&u, t, &u)
// becasuse mul performs reduction on t, we need
// manually reduce u at first step
if msb(&u) == 127 {
Add(&u, &x127x631, &u)
}
Mul(x, d, t)
Add(c, t, c)
}
*b = *c
}
func xN(n int) *GF127 {
if n < 64 {
return &GF127{1 << uint(n), 0}
}
return &GF127{0, 1 << uint(n-64)}
}
func msb(a *GF127) (x int) {
x = bits.LeadingZeros64(a[1])
if x == 64 {
x = bits.LeadingZeros64(a[0]) + 64
}
return 127 - x
}
// 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 b to a*x.
func Mul10(a, b *GF127)
// Mul11 sets b to a*(x+1).
func Mul11(a, b *GF127)

33
gf127/gf127_amd64.s → gf127/avx/gf127_amd64.s
View file

@ -27,22 +27,6 @@ TEXT ·Mul10(SB),NOSPLIT,$0
MOVUPD X1, (AX)
RET
// func Mul10x2(a, b) *[4]uint64
TEXT ·Mul10x2(SB),NOSPLIT,$0
MOVQ a+0(FP), AX
VMOVDQA (AX), Y0
VPSLLQ $1, Y0, Y1
VPALIGNR $8, Y1, Y0, Y2
VPSRLQ $63, Y2, Y2
VPXOR Y1, Y2, Y2
VPSRLQ $63, Y1, Y3
VPSLLQ $63, Y3, Y3
VPUNPCKHQDQ Y3, Y3, Y3
VPXOR Y2, Y3, Y3
MOVQ b+8(FP), AX
VMOVDQA Y3, (AX)
RET
// func Mul11(a, b *[2]uint64)
TEXT ·Mul11(SB),NOSPLIT,$0
MOVQ a+0(FP), AX
@ -60,23 +44,6 @@ TEXT ·Mul11(SB),NOSPLIT,$0
MOVUPD X1, (AX)
RET
// func Mul11x2(a, b) *[4]uint64
TEXT ·Mul11x2(SB),NOSPLIT,$0
MOVQ a+0(FP), AX
VMOVDQA (AX), Y0
VPSLLQ $1, Y0, Y1
VPALIGNR $8, Y1, Y0, Y2
VPSRLQ $63, Y2, Y2
VPXOR Y1, Y2, Y2
VPSRLQ $63, Y1, Y3
VPSLLQ $63, Y3, Y3
VPUNPCKHQDQ Y3, Y3, Y3
VPXOR Y2, Y3, Y3
VPXOR Y0, Y3, Y3
MOVQ b+8(FP), AX
VMOVDQA Y3, (AX)
RET
// func Mul(a, b, c *[2]uint64)
TEXT ·Mul(SB),NOSPLIT,$0
MOVQ a+0(FP), AX // X0 = a0 . a1

30
gf127/gf127_test.go → gf127/avx/gf127_test.go
View file

@ -1,8 +1,9 @@
package gf127
package avx
import (
"testing"
"github.com/nspcc-dev/tzhash/gf127"
"github.com/stretchr/testify/require"
)
@ -10,12 +11,12 @@ const maxUint64 = ^uint64(0)
func TestAdd(t *testing.T) {
var (
a = Random()
b = Random()
a = gf127.Random()
b = gf127.Random()
e = &GF127{a[0] ^ b[0], a[1] ^ b[1]}
c = new(GF127)
)
c.Add(a, b)
Add(a, b, c)
require.Equal(t, e, c)
}
@ -81,7 +82,7 @@ func TestInv(t *testing.T) {
for i := 0; i < 3; i++ {
// 0 has no inverse
if a = Random(); a.Equals(&GF127{0, 0}) {
if a = gf127.Random(); a.Equals(&GF127{0, 0}) {
continue
}
Inv(a, b)
@ -89,22 +90,3 @@ func TestInv(t *testing.T) {
require.Equal(t, &GF127{1, 0}, c)
}
}
func TestGF127_MarshalBinary(t *testing.T) {
a := New(0xFF, 0xEE)
data, err := a.MarshalBinary()
require.NoError(t, err)
require.Equal(t, data, []byte{0, 0, 0, 0, 0, 0, 0, 0xEE, 0, 0, 0, 0, 0, 0, 0, 0xFF})
a = Random()
data, err = a.MarshalBinary()
require.NoError(t, err)
b := new(GF127)
err = b.UnmarshalBinary(data)
require.NoError(t, err)
require.Equal(t, a, b)
err = b.UnmarshalBinary([]byte{0, 1, 2, 3})
require.Error(t, err)
}

10
gf127/gf127x2.go → gf127/avx2/gf127x2.go
View file

@ -1,20 +1,22 @@
package gf127
package avx2
import (
"encoding/binary"
"encoding/hex"
"github.com/nspcc-dev/tzhash/gf127"
)
// GF127x2 represents a pair of elements of GF(2^127) stored together.
type GF127x2 [2]GF127
type GF127x2 [2]gf127.GF127
// Split returns 2 components of pair without additional allocations.
func Split(a *GF127x2) (*GF127, *GF127) {
func Split(a *GF127x2) (*gf127.GF127, *gf127.GF127) {
return &a[0], &a[1]
}
// CombineTo 2 elements of GF(2^127) to the respective components of pair.
func CombineTo(a *GF127, b *GF127, c *GF127x2) {
func CombineTo(a *gf127.GF127, b *gf127.GF127, c *GF127x2) {
c[0] = *a
c[1] = *b
}

35
gf127/avx2/gf127x2_amd64.s Normal file
View file

@ -0,0 +1,35 @@
#include "textflag.h"
// func Mul10x2(a, b) *[4]uint64
TEXT ·Mul10x2(SB),NOSPLIT,$0
MOVQ a+0(FP), AX
VMOVDQA (AX), Y0
VPSLLQ $1, Y0, Y1
VPALIGNR $8, Y1, Y0, Y2
VPSRLQ $63, Y2, Y2
VPXOR Y1, Y2, Y2
VPSRLQ $63, Y1, Y3
VPSLLQ $63, Y3, Y3
VPUNPCKHQDQ Y3, Y3, Y3
VPXOR Y2, Y3, Y3
MOVQ b+8(FP), AX
VMOVDQA Y3, (AX)
RET
// func Mul11x2(a, b) *[4]uint64
TEXT ·Mul11x2(SB),NOSPLIT,$0
MOVQ a+0(FP), AX
VMOVDQA (AX), Y0
VPSLLQ $1, Y0, Y1
VPALIGNR $8, Y1, Y0, Y2
VPSRLQ $63, Y2, Y2
VPXOR Y1, Y2, Y2
VPSRLQ $63, Y1, Y3
VPSLLQ $63, Y3, Y3
VPUNPCKHQDQ Y3, Y3, Y3
VPXOR Y2, Y3, Y3
VPXOR Y0, Y3, Y3
MOVQ b+8(FP), AX
VMOVDQA Y3, (AX)
RET

81
gf127/avx2/gf127x2_test.go Normal file
View file

@ -0,0 +1,81 @@
package avx2
import (
"testing"
"github.com/nspcc-dev/tzhash/gf127"
"github.com/stretchr/testify/require"
)
const maxUint64 = ^uint64(0)
var testCasesSplit = []struct {
num *GF127x2
h1 *gf127.GF127
h2 *gf127.GF127
}{
{&GF127x2{gf127.GF127{123, 31}, gf127.GF127{141, 9}}, &gf127.GF127{123, 31}, &gf127.GF127{141, 9}},
{&GF127x2{gf127.GF127{maxUint64, 0}, gf127.GF127{0, maxUint64}}, &gf127.GF127{maxUint64, 0}, &gf127.GF127{0, maxUint64}},
}
func TestSplit(t *testing.T) {
for _, tc := range testCasesSplit {
a, b := Split(tc.num)
require.Equal(t, tc.h1, a)
require.Equal(t, tc.h2, b)
}
}
func TestCombineTo(t *testing.T) {
c := new(GF127x2)
for _, tc := range testCasesSplit {
CombineTo(tc.h1, tc.h2, c)
require.Equal(t, tc.num, c)
}
}
var testCasesMul10x2 = [][2]*GF127x2{
{
&GF127x2{gf127.GF127{123, 0}, gf127.GF127{123, 0}},
&GF127x2{gf127.GF127{246, 0}, gf127.GF127{246, 0}},
},
{
&GF127x2{gf127.GF127{maxUint64, 2}, gf127.GF127{0, 1}},
&GF127x2{gf127.GF127{maxUint64 - 1, 5}, gf127.GF127{0, 2}},
},
{
&GF127x2{gf127.GF127{0, maxUint64 >> 1}, gf127.GF127{maxUint64, 2}},
&GF127x2{gf127.GF127{1 + 1<<63, maxUint64>>1 - 1}, gf127.GF127{maxUint64 - 1, 5}},
},
}
func TestMul10x2(t *testing.T) {
c := new(GF127x2)
for _, tc := range testCasesMul10x2 {
Mul10x2(tc[0], c)
require.Equal(t, tc[1], c)
}
}
var testCasesMul11x2 = [][2]*GF127x2{
{
&GF127x2{gf127.GF127{123, 0}, gf127.GF127{123, 0}},
&GF127x2{gf127.GF127{141, 0}, gf127.GF127{141, 0}},
},
{
&GF127x2{gf127.GF127{maxUint64, 2}, gf127.GF127{0, 1}},
&GF127x2{gf127.GF127{1, 7}, gf127.GF127{0, 3}},
},
{
&GF127x2{gf127.GF127{0, maxUint64 >> 1}, gf127.GF127{maxUint64, 2}},
&GF127x2{gf127.GF127{1 + 1<<63, 1}, gf127.GF127{1, 7}},
},
}
func TestMul11x2(t *testing.T) {
c := new(GF127x2)
for _, tc := range testCasesMul11x2 {
Mul11x2(tc[0], c)
require.Equal(t, tc[1], c)
}
}

122
gf127/gf127.go
View file

@ -1,42 +1,21 @@
// 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"
"math/bits"
"math/rand"
)
const (
byteSize = 16
maxUint64 = ^uint64(0)
msb64 = uint64(1) << 63
)
// GF127 represents element of GF(2^127)
type GF127 [2]uint64
const (
msb64 = uint64(0x8000000000000000)
byteSize = 16
)
var (
// x127x63 represents x^127 + x^63. Used in assembly file.
x127x63 = GF127{msb64, msb64}
// x126x631 is reduction polynomial x^127+x^63+1
x127x631 = GF127{msb64 + 1, 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}
}
// Random returns random element from GF(2^127).
// Is used mostly for testing.
func Random() *GF127 {
@ -80,92 +59,3 @@ func (c *GF127) UnmarshalBinary(data []byte) error {
return nil
}
// Inv sets b to a^-1
// Algorithm is based on Extended Euclidean Algorithm
// and is described by Hankerson, Hernandez, Menezes in
// https://link.springer.com/content/pdf/10.1007/3-540-44499-8_1.pdf
func Inv(a, b *GF127) {
var (
v = x127x631
u = *a
c, d = &GF127{1, 0}, &GF127{0, 0}
t = new(GF127)
x *GF127
)
// degree of polynomial is a position of most significant bit
for du, dv := msb(&u), msb(&v); du != 0; du, dv = msb(&u), msb(&v) {
if du < dv {
v, u = u, v
dv, du = du, dv
d, c = c, d
}
x = xN(du - dv)
Mul(x, &v, t)
Add(&u, t, &u)
// becasuse mul performs reduction on t, we need
// manually reduce u at first step
if msb(&u) == 127 {
Add(&u, &x127x631, &u)
}
Mul(x, d, t)
Add(c, t, c)
}
*b = *c
}
func xN(n int) *GF127 {
if n < 64 {
return &GF127{1 << uint(n), 0}
}
return &GF127{0, 1 << uint(n-64)}
}
func msb(a *GF127) (x int) {
x = bits.LeadingZeros64(a[1])
if x == 64 {
x = bits.LeadingZeros64(a[0]) + 64
}
return 127 - x
}
// 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 b to a*x.
func Mul10(a, b *GF127)
// Mul11 sets b to a*(x+1).
func Mul11(a, b *GF127)

78
gf127/gf127x2_test.go
View file

@ -1,78 +0,0 @@
package gf127
import (
"testing"
"github.com/stretchr/testify/require"
)
var testCasesSplit = []struct {
num *GF127x2
h1 *GF127
h2 *GF127
}{
{&GF127x2{GF127{123, 31}, GF127{141, 9}}, &GF127{123, 31}, &GF127{141, 9}},
{&GF127x2{GF127{maxUint64, 0}, GF127{0, maxUint64}}, &GF127{maxUint64, 0}, &GF127{0, maxUint64}},
}
func TestSplit(t *testing.T) {
for _, tc := range testCasesSplit {
a, b := Split(tc.num)
require.Equal(t, tc.h1, a)
require.Equal(t, tc.h2, b)
}
}
func TestCombineTo(t *testing.T) {
c := new(GF127x2)
for _, tc := range testCasesSplit {
CombineTo(tc.h1, tc.h2, c)
require.Equal(t, tc.num, c)
}
}
var testCasesMul10x2 = [][2]*GF127x2{
{
&GF127x2{GF127{123, 0}, GF127{123, 0}},
&GF127x2{GF127{246, 0}, GF127{246, 0}},
},
{
&GF127x2{GF127{maxUint64, 2}, GF127{0, 1}},
&GF127x2{GF127{maxUint64 - 1, 5}, GF127{0, 2}},
},
{
&GF127x2{GF127{0, maxUint64 >> 1}, GF127{maxUint64, 2}},
&GF127x2{GF127{1 + 1<<63, maxUint64>>1 - 1}, GF127{maxUint64 - 1, 5}},
},
}
func TestMul10x2(t *testing.T) {
c := new(GF127x2)
for _, tc := range testCasesMul10x2 {
Mul10x2(tc[0], c)
require.Equal(t, tc[1], c)
}
}
var testCasesMul11x2 = [][2]*GF127x2{
{
&GF127x2{GF127{123, 0}, GF127{123, 0}},
&GF127x2{GF127{141, 0}, GF127{141, 0}},
},
{
&GF127x2{GF127{maxUint64, 2}, GF127{0, 1}},
&GF127x2{GF127{1, 7}, GF127{0, 3}},
},
{
&GF127x2{GF127{0, maxUint64 >> 1}, GF127{maxUint64, 2}},
&GF127x2{GF127{1 + 1<<63, 1}, GF127{1, 7}},
},
}
func TestMul11x2(t *testing.T) {
c := new(GF127x2)
for _, tc := range testCasesMul11x2 {
Mul11x2(tc[0], c)
require.Equal(t, tc[1], c)
}
}

9
tz/avx2.go
View file

@ -7,10 +7,11 @@ import (
"hash"
"github.com/nspcc-dev/tzhash/gf127"
"github.com/nspcc-dev/tzhash/gf127/avx2"
)
type digest2 struct {
x [2]gf127.GF127x2
x [2]avx2.GF127x2
}
// type assertion
@ -44,8 +45,8 @@ func (d *digest2) Sum(in []byte) []byte {
return append(in, h[:]...)
}
func (d *digest2) Reset() {
d.x[0] = gf127.GF127x2{gf127.GF127{1, 0}, gf127.GF127{0, 0}}
d.x[1] = gf127.GF127x2{gf127.GF127{0, 0}, gf127.GF127{1, 0}}
d.x[0] = avx2.GF127x2{gf127.GF127{1, 0}, gf127.GF127{0, 0}}
d.x[1] = avx2.GF127x2{gf127.GF127{0, 0}, gf127.GF127{1, 0}}
}
func (d *digest2) Size() int { return hashSize }
func (d *digest2) BlockSize() int { return hashBlockSize }
@ -62,4 +63,4 @@ func (d *digest2) checkSum() (b [hashSize]byte) {
return
}
func mulBitRightx2(c00c10 *gf127.GF127x2, c01c11 *gf127.GF127x2, e *gf127.GF127)
func mulBitRightx2(c00c10 *avx2.GF127x2, c01c11 *avx2.GF127x2, e *gf127.GF127)

9
tz/avx2_inline.go
View file

@ -8,10 +8,11 @@ import (
"hash"
"github.com/nspcc-dev/tzhash/gf127"
"github.com/nspcc-dev/tzhash/gf127/avx2"
)
type digest3 struct {
x [2]gf127.GF127x2
x [2]avx2.GF127x2
}
// type assertion
@ -38,8 +39,8 @@ func (d *digest3) Sum(in []byte) []byte {
return append(in, h[:]...)
}
func (d *digest3) Reset() {
d.x[0] = gf127.GF127x2{gf127.GF127{1, 0}, gf127.GF127{0, 0}}
d.x[1] = gf127.GF127x2{gf127.GF127{0, 0}, gf127.GF127{1, 0}}
d.x[0] = avx2.GF127x2{gf127.GF127{1, 0}, gf127.GF127{0, 0}}
d.x[1] = avx2.GF127x2{gf127.GF127{0, 0}, gf127.GF127{1, 0}}
}
func (d *digest3) Size() int { return hashSize }
func (d *digest3) BlockSize() int { return hashBlockSize }
@ -56,4 +57,4 @@ func (d *digest3) checkSum() (b [hashSize]byte) {
return
}
func mulByteRightx2(c00c10 *gf127.GF127x2, c01c11 *gf127.GF127x2, b byte)
func mulByteRightx2(c00c10 *avx2.GF127x2, c01c11 *avx2.GF127x2, b byte)

40
tz/pure.go
View file

@ -1,11 +1,11 @@
package tz
import (
"github.com/nspcc-dev/tzhash/gogf127"
"github.com/nspcc-dev/tzhash/gf127"
)
type digestp struct {
x [4]gogf127.GF127
x [4]gf127.GF127
}
// New returns a new hash.Hash computing the Tillich-Zémor checksum.
@ -35,15 +35,15 @@ func (d *digestp) byteArray() (b [hashSize]byte) {
}
func (d *digestp) Reset() {
d.x[0] = gogf127.GF127{1, 0}
d.x[1] = gogf127.GF127{0, 0}
d.x[2] = gogf127.GF127{0, 0}
d.x[3] = gogf127.GF127{1, 0}
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 *digestp) Write(data []byte) (n int, err error) {
n = len(data)
tmp := new(gogf127.GF127)
tmp := new(gf127.GF127)
for _, b := range data {
mulBitRightPure(&d.x[0], &d.x[1], &d.x[2], &d.x[3], b&0x80 != 0, tmp)
mulBitRightPure(&d.x[0], &d.x[1], &d.x[2], &d.x[3], b&0x40 != 0, tmp)
@ -65,28 +65,28 @@ func (d *digestp) BlockSize() int {
return hashBlockSize
}
func mulBitRightPure(c00, c01, c10, c11 *gogf127.GF127, bit bool, tmp *gogf127.GF127) {
func mulBitRightPure(c00, c01, c10, c11 *gf127.GF127, bit bool, tmp *gf127.GF127) {
if bit {
*tmp = *c00
gogf127.Mul10(c00, c00)
gogf127.Add(c00, c01, c00)
gogf127.Mul11(tmp, tmp)
gogf127.Add(c01, tmp, c01)
gf127.Mul10(c00, c00)
gf127.Add(c00, c01, c00)
gf127.Mul11(tmp, tmp)
gf127.Add(c01, tmp, c01)
*tmp = *c10
gogf127.Mul10(c10, c10)
gogf127.Add(c10, c11, c10)
gogf127.Mul11(tmp, tmp)
gogf127.Add(c11, tmp, c11)
gf127.Mul10(c10, c10)
gf127.Add(c10, c11, c10)
gf127.Mul11(tmp, tmp)
gf127.Add(c11, tmp, c11)
} else {
*tmp = *c00
gogf127.Mul10(c00, c00)
gogf127.Add(c00, c01, c00)
gf127.Mul10(c00, c00)
gf127.Add(c00, c01, c00)
*c01 = *tmp
*tmp = *c10
gogf127.Mul10(c10, c10)
gogf127.Add(c10, c11, c10)
gf127.Mul10(c10, c10)
gf127.Add(c10, c11, c10)
*c11 = *tmp
}
}

144
tz/sl2.go
View file

@ -4,7 +4,7 @@ import (
"errors"
"github.com/nspcc-dev/tzhash/gf127"
"github.com/nspcc-dev/tzhash/gogf127"
"github.com/nspcc-dev/tzhash/gf127/avx"
)
type sl2 [2][2]gf127.GF127
@ -52,86 +52,86 @@ func (c *sl2) UnmarshalBinary(data []byte) (err error) {
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])
avx.Add(&a[0][0], &a[1][1], &x[0])
avx.Add(&b[0][0], &b[1][1], &x[1])
avx.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])
avx.Add(&a[1][0], &a[1][1], &x[1])
avx.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])
avx.Add(&b[0][1], &b[1][1], &x[2])
avx.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])
avx.Add(&b[1][0], &b[0][0], &x[3])
avx.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])
avx.Add(&a[0][0], &a[0][1], &x[4])
avx.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])
avx.Add(&a[1][0], &a[0][0], &x[5])
avx.Add(&b[0][0], &b[0][1], &x[6])
avx.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])
avx.Add(&a[0][1], &a[1][1], &x[6])
avx.Add(&b[1][0], &b[1][1], &x[7])
avx.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])
avx.Add(&x[2], &x[4], &c[0][1])
avx.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])
avx.Add(&x[4], &x[6], &x[4])
avx.Add(&x[0], &x[3], &c[0][0])
avx.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])
avx.Add(&x[0], &x[1], &x[0])
avx.Add(&x[2], &x[5], &c[1][1])
avx.Add(&c[1][1], &x[0], &c[1][1])
return c
}
func mulSL2AVX(a, b, c *sl2, x *[4]gf127.GF127) {
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])
avx.Mul(&a[0][0], &b[0][0], &x[0])
avx.Mul(&a[0][0], &b[0][1], &x[1])
avx.Mul(&a[1][0], &b[0][0], &x[2])
avx.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])
avx.Mul(&a[0][1], &b[1][0], &c[0][0])
avx.Add(&c[0][0], &x[0], &c[0][0])
avx.Mul(&a[0][1], &b[1][1], &c[0][1])
avx.Add(&c[0][1], &x[1], &c[0][1])
avx.Mul(&a[1][1], &b[1][0], &c[1][0])
avx.Add(&c[1][0], &x[2], &c[1][0])
avx.Mul(&a[1][1], &b[1][1], &c[1][1])
avx.Add(&c[1][1], &x[3], &c[1][1])
}
func mulSL2Pure(a, b, c *sl2, x *[4]gf127.GF127) {
gogf127.Mul((*gogf127.GF127)(&a[0][0]), (*gogf127.GF127)(&b[0][0]), (*gogf127.GF127)(&x[0]))
gogf127.Mul((*gogf127.GF127)(&a[0][0]), (*gogf127.GF127)(&b[0][1]), (*gogf127.GF127)(&x[1]))
gogf127.Mul((*gogf127.GF127)(&a[1][0]), (*gogf127.GF127)(&b[0][0]), (*gogf127.GF127)(&x[2]))
gogf127.Mul((*gogf127.GF127)(&a[1][0]), (*gogf127.GF127)(&b[0][1]), (*gogf127.GF127)(&x[3]))
gf127.Mul((*gf127.GF127)(&a[0][0]), (*gf127.GF127)(&b[0][0]), (*gf127.GF127)(&x[0]))
gf127.Mul((*gf127.GF127)(&a[0][0]), (*gf127.GF127)(&b[0][1]), (*gf127.GF127)(&x[1]))
gf127.Mul((*gf127.GF127)(&a[1][0]), (*gf127.GF127)(&b[0][0]), (*gf127.GF127)(&x[2]))
gf127.Mul((*gf127.GF127)(&a[1][0]), (*gf127.GF127)(&b[0][1]), (*gf127.GF127)(&x[3]))
gogf127.Mul((*gogf127.GF127)(&a[0][1]), (*gogf127.GF127)(&b[1][0]), (*gogf127.GF127)(&c[0][0]))
gogf127.Add((*gogf127.GF127)(&c[0][0]), (*gogf127.GF127)(&x[0]), (*gogf127.GF127)(&c[0][0]))
gogf127.Mul((*gogf127.GF127)(&a[0][1]), (*gogf127.GF127)(&b[1][1]), (*gogf127.GF127)(&c[0][1]))
gogf127.Add((*gogf127.GF127)(&c[0][1]), (*gogf127.GF127)(&x[1]), (*gogf127.GF127)(&c[0][1]))
gogf127.Mul((*gogf127.GF127)(&a[1][1]), (*gogf127.GF127)(&b[1][0]), (*gogf127.GF127)(&c[1][0]))
gogf127.Add((*gogf127.GF127)(&c[1][0]), (*gogf127.GF127)(&x[2]), (*gogf127.GF127)(&c[1][0]))
gogf127.Mul((*gogf127.GF127)(&a[1][1]), (*gogf127.GF127)(&b[1][1]), (*gogf127.GF127)(&c[1][1]))
gogf127.Add((*gogf127.GF127)(&c[1][1]), (*gogf127.GF127)(&x[3]), (*gogf127.GF127)(&c[1][1]))
gf127.Mul((*gf127.GF127)(&a[0][1]), (*gf127.GF127)(&b[1][0]), (*gf127.GF127)(&c[0][0]))
gf127.Add((*gf127.GF127)(&c[0][0]), (*gf127.GF127)(&x[0]), (*gf127.GF127)(&c[0][0]))
gf127.Mul((*gf127.GF127)(&a[0][1]), (*gf127.GF127)(&b[1][1]), (*gf127.GF127)(&c[0][1]))
gf127.Add((*gf127.GF127)(&c[0][1]), (*gf127.GF127)(&x[1]), (*gf127.GF127)(&c[0][1]))
gf127.Mul((*gf127.GF127)(&a[1][1]), (*gf127.GF127)(&b[1][0]), (*gf127.GF127)(&c[1][0]))
gf127.Add((*gf127.GF127)(&c[1][0]), (*gf127.GF127)(&x[2]), (*gf127.GF127)(&c[1][0]))
gf127.Mul((*gf127.GF127)(&a[1][1]), (*gf127.GF127)(&b[1][1]), (*gf127.GF127)(&c[1][1]))
gf127.Add((*gf127.GF127)(&c[1][1]), (*gf127.GF127)(&x[3]), (*gf127.GF127)(&c[1][1]))
}
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])
avx.Mul10(&c[0][0], &a)
avx.Mul1(&c[0][0], &c[0][1])
avx.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])
avx.Mul10(&c[1][0], &a)
avx.Mul1(&c[1][0], &c[1][1])
avx.Add(&a, &c[1][1], &c[1][0])
return c
}
@ -139,15 +139,15 @@ func (c *sl2) MulA() *sl2 {
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])
avx.Mul1(&c[0][0], &a)
avx.Mul10(&c[0][0], &c[0][0])
avx.Add(&c[0][1], &c[0][0], &c[0][0])
avx.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])
avx.Mul1(&c[1][0], &a)
avx.Mul10(&c[1][0], &c[1][0])
avx.Add(&c[1][1], &c[1][0], &c[1][0])
avx.Add(&c[1][0], &a, &c[1][1])
return c
}
@ -165,15 +165,15 @@ func Inv(a *sl2) (b *sl2) {
}
func inv(a, b *sl2, t *[2]gf127.GF127) {
gf127.Mul(&a[0][0], &a[1][1], &t[0])
gf127.Mul(&a[0][1], &a[1][0], &t[1])
gf127.Add(&t[0], &t[1], &t[0])
gf127.Inv(&t[0], &t[1])
avx.Mul(&a[0][0], &a[1][1], &t[0])
avx.Mul(&a[0][1], &a[1][0], &t[1])
avx.Add(&t[0], &t[1], &t[0])
avx.Inv(&t[0], &t[1])
gf127.Mul(&t[1], &a[0][0], &b[1][1])
gf127.Mul(&t[1], &a[0][1], &b[0][1])
gf127.Mul(&t[1], &a[1][0], &b[1][0])
gf127.Mul(&t[1], &a[1][1], &b[0][0])
avx.Mul(&t[1], &a[0][0], &b[1][1])
avx.Mul(&t[1], &a[0][1], &b[0][1])
avx.Mul(&t[1], &a[1][0], &b[1][0])
avx.Mul(&t[1], &a[1][1], &b[0][0])
}
func (c *sl2) String() string {

9
tz/sl2_test.go
View file

@ -6,6 +6,7 @@ import (
"time"
"github.com/nspcc-dev/tzhash/gf127"
"github.com/nspcc-dev/tzhash/gf127/avx"
"github.com/stretchr/testify/require"
)
@ -21,12 +22,12 @@ func random() (a *sl2) {
// so that result is in SL2
// d = a^-1*(1+b*c)
gf127.Mul(&a[0][1], &a[1][0], &a[1][1])
gf127.Add(&a[1][1], gf127.New(1, 0), &a[1][1])
avx.Mul(&a[0][1], &a[1][0], &a[1][1])
avx.Add(&a[1][1], gf127.New(1, 0), &a[1][1])
t := gf127.New(0, 0)
gf127.Inv(&a[0][0], t)
gf127.Mul(t, &a[1][1], &a[1][1])
avx.Inv(&a[0][0], t)
avx.Mul(t, &a[1][1], &a[1][1])
return
}