vm: implement proper big.Int to []byte conversions

Big.Int Bytes()/SetBytes() methods are not symmetric.
Moreover we need to mimic C# node behavior:
- if a positive number has MSB set, 0x00 byte should be appended
  to distinguish positive number from negatives
- negative numbers should serialize as two's-complement
This commit is contained in:
Evgenii Stratonikov 2020-01-17 13:09:41 +03:00
parent 2b02c145c3
commit f26bdae2c5
2 changed files with 322 additions and 0 deletions

137
pkg/vm/bigint.go Normal file
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@ -0,0 +1,137 @@
package vm
import (
"encoding/binary"
"math/big"
"math/bits"
)
// wordSizeBytes is a size of a big.Word (uint) in bytes.`
const wordSizeBytes = bits.UintSize / 8
// bytesToInt converts data in little-endian format to
// an integer.
func bytesToInt(data []byte) *big.Int {
n := new(big.Int)
size := len(data)
if size == 0 {
return big.NewInt(0)
}
isNeg := data[size-1]&0x80 != 0
size = getEffectiveSize(data, isNeg)
if size == 0 {
if isNeg {
return big.NewInt(-1)
}
return big.NewInt(0)
}
lw := size / wordSizeBytes
ws := make([]big.Word, lw+1)
for i := 0; i < lw; i++ {
base := i * wordSizeBytes
for j := base + 7; j >= base; j-- {
ws[i] <<= 8
ws[i] ^= big.Word(data[j])
}
}
for i := size - 1; i >= lw*wordSizeBytes; i-- {
ws[lw] <<= 8
ws[lw] ^= big.Word(data[i])
}
if isNeg {
for i := 0; i <= lw; i++ {
ws[i] = ^ws[i]
}
shift := byte(wordSizeBytes-size%wordSizeBytes) * 8
ws[lw] = ws[lw] & (^big.Word(0) >> shift)
n.SetBits(ws)
n.Neg(n)
return n.Sub(n, big.NewInt(1))
}
return n.SetBits(ws)
}
// getEffectiveSize returns minimal number of bytes required
// to represent a number (two's complement for negatives).
func getEffectiveSize(buf []byte, isNeg bool) int {
var b byte
if isNeg {
b = 0xFF
}
size := len(buf)
for ; size > 0; size-- {
if buf[size-1] != b {
break
}
}
return size
}
// intToBytes converts integer to a slice in little-endian format.
func intToBytes(n *big.Int) []byte {
sign := n.Sign()
if sign == 0 {
return []byte{0}
}
var ws []big.Word
if sign == 1 {
ws = n.Bits()
} else {
n1 := new(big.Int).Add(n, big.NewInt(1))
if n1.Sign() == 0 { // n == -1
return []byte{0xFF}
}
ws = n1.Bits()
}
data := wordsToBytes(ws)
size := len(data)
for ; data[size-1] == 0; size-- {
}
data = data[:size]
if data[size-1]&0x80 != 0 {
data = append(data, 0)
}
if sign == -1 {
for i := range data {
data[i] = ^data[i]
}
}
return data
}
func wordsToBytes(ws []big.Word) []byte {
lb := len(ws) * wordSizeBytes
bs := make([]byte, lb, lb+1)
if wordSizeBytes == 8 {
for i := range ws {
binary.LittleEndian.PutUint64(bs[i*wordSizeBytes:], uint64(ws[i]))
}
} else {
for i := range ws {
binary.LittleEndian.PutUint32(bs[i*wordSizeBytes:], uint32(ws[i]))
}
}
return bs
}

185
pkg/vm/bigint_test.go Normal file
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package vm
import (
"math"
"math/big"
"testing"
"github.com/CityOfZion/neo-go/pkg/util"
"github.com/stretchr/testify/assert"
"github.com/stretchr/testify/require"
)
// testCases were generated using C# node
// https://dotnetfiddle.net/trQ4xt
var testCases = []struct {
number int64
buf []byte
}{
{0, []byte{0}},
{1, []byte{1}},
{-1, []byte{255}},
{2, []byte{2}},
{-2, []byte{254}},
{127, []byte{127}},
{-127, []byte{129}},
{128, []byte{128, 0}},
{-128, []byte{128}},
{129, []byte{129, 0}},
{-129, []byte{127, 255}},
{255, []byte{255, 0}},
{-255, []byte{1, 255}},
{256, []byte{0, 1}},
{-256, []byte{0, 255}},
{123456789, []byte{21, 205, 91, 7}},
{-123456789, []byte{235, 50, 164, 248}},
{-6777216, []byte{128, 150, 152}}, // tx c8ba2ce29e07447639b9b658db3930c4cce617652d325e78b768ee9d4dbd72b8
{6777216, []byte{128, 105, 103}},
{32639, []byte{127, 127}},
{-32641, []byte{127, 128}},
{8355711, []byte{127, 127, 127}},
{-8355969, []byte{127, 127, 128}},
{2139062143, []byte{127, 127, 127, 127}},
{-2139127937, []byte{127, 127, 127, 128}},
{547599908735, []byte{127, 127, 127, 127, 127}},
{-547616751745, []byte{127, 127, 127, 127, 128}},
{140185576636287, []byte{127, 127, 127, 127, 127, 127}},
{-140189888446593, []byte{127, 127, 127, 127, 127, 128}},
{35887507618889599, []byte{127, 127, 127, 127, 127, 127, 127}},
{-35888611442327681, []byte{127, 127, 127, 127, 127, 127, 128}},
{9187201950435737471, []byte{127, 127, 127, 127, 127, 127, 127, 127}},
{-9187484529235886209, []byte{127, 127, 127, 127, 127, 127, 127, 128}},
// https://github.com/dotnet/runtime/blob/master/src/libraries/System.Runtime.Numerics/tests/BigInteger/ToByteArray.cs#L14
{0, []byte{0x00}},
{3, []byte{0x03}},
{128, []byte{0x80, 0x00}},
{200, []byte{0xc8, 0x00}},
{256, []byte{0x00, 0x01}},
{2005, []byte{0xd5, 0x07}},
{10197, []byte{0xd5, 0x27}},
{33023, []byte{0xff, 0x80, 0x00}},
{2368349, []byte{0x5d, 0x23, 0x24}},
{10756957, []byte{0x5d, 0x23, 0xa4, 0x00}},
{193100307, []byte{0x13, 0x7a, 0x82, 0x0b}},
{1266842131, []byte{0x13, 0x7a, 0x82, 0x4b}},
{math.MaxInt32, []byte{0xff, 0xff, 0xff, 0x7f}},
{-1, []byte{0xff}},
{-128, []byte{0x80}},
{-172, []byte{0x54, 0xff}},
{-23439, []byte{0x71, 0xa4}},
{-51301, []byte{0x9b, 0x37, 0xff}},
{-126341, []byte{0x7b, 0x12, 0xfe}},
{-13194515, []byte{0xed, 0xaa, 0x36, 0xff}},
{-2068145902, []byte{0x12, 0x99, 0xba, 0x84}},
{math.MinInt32, []byte{0x00, 0x00, 0x00, 0x80}},
// https://github.com/dotnet/runtime/blob/master/src/libraries/System.Runtime.Numerics/tests/BigInteger/ToByteArray.cs#L53
{0x100112233, []byte{0x33, 0x22, 0x11, 0x00, 0x01}},
{0x300112233, []byte{0x33, 0x22, 0x11, 0x00, 0x03}},
{0x8000112233, []byte{0x33, 0x22, 0x11, 0x00, 0x80, 0x00}},
{0x3cd00112233, []byte{0x33, 0x22, 0x11, 0x00, 0xcd, 0x03}},
{0xf92100112233, []byte{0x33, 0x22, 0x11, 0x00, 0x21, 0xf9, 0x00}},
{0x749aa00112233, []byte{0x33, 0x22, 0x11, 0x00, 0xaa, 0x49, 0x07}},
{0x80112200112233, []byte{0x33, 0x22, 0x11, 0x00, 0x22, 0x11, 0x80, 0x00}},
{0x7654321000112233, []byte{0x33, 0x22, 0x11, 0x00, 0x10, 0x32, 0x54, 0x76}},
{math.MaxInt64, []byte{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f}},
{-0x100112233, []byte{0xcd, 0xdd, 0xee, 0xff, 0xfe}},
{-0x8000112233, []byte{0xcd, 0xdd, 0xee, 0xff, 0x7f, 0xff}},
{-0x3cd00112233, []byte{0xcd, 0xdd, 0xee, 0xff, 0x32, 0xfc}},
{-0xf92100112233, []byte{0xcd, 0xdd, 0xee, 0xff, 0xde, 0x06, 0xff}},
{-0x749aa00112233, []byte{0xcd, 0xdd, 0xee, 0xff, 0x55, 0xb6, 0xf8}},
{-0x80112200112233, []byte{0xcd, 0xdd, 0xee, 0xff, 0xdd, 0xee, 0x7f, 0xff}},
{-0x7654321000112233, []byte{0xcd, 0xdd, 0xee, 0xff, 0xef, 0xcd, 0xab, 0x89}},
{math.MinInt64, []byte{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80}},
{-0x100000000, []byte{0x00, 0x00, 0x00, 0x00, 0xff}},
{-0x300000000, []byte{0x00, 0x00, 0x00, 0x00, 0xfd}},
{-0x8000000000, []byte{0x00, 0x00, 0x00, 0x00, 0x80}},
{-0xfe00000000, []byte{0x00, 0x00, 0x00, 0x00, 0x02, 0xff}},
{-0xff00000000, []byte{0x00, 0x00, 0x00, 0x00, 0x01, 0xff}},
{-0xfeff00000000, []byte{0x00, 0x00, 0x00, 0x00, 0x01, 0x01, 0xff}},
{-0xffff00000000, []byte{0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0xff}},
{-0xfeffff00000000, []byte{0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x01, 0xff}},
{-0xffffff00000000, []byte{0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0xff}},
}
func TestIntToBytes(t *testing.T) {
for _, tc := range testCases {
buf := intToBytes(big.NewInt(tc.number))
assert.Equal(t, tc.buf, buf, "error while converting %d", tc.number)
}
}
func TestBytesToInt(t *testing.T) {
for _, tc := range testCases {
num := bytesToInt(tc.buf)
assert.Equal(t, tc.number, num.Int64(), "error while converting %d", tc.number)
}
t.Run("empty array", func(t *testing.T) {
require.EqualValues(t, 0, bytesToInt([]byte{}).Int64())
})
}
func TestEquivalentRepresentations(t *testing.T) {
for _, tc := range testCases {
buf := tc.buf
if tc.number >= 0 {
buf = append(buf, 0, 0, 0)
} else {
buf = append(buf, 0xFF, 0xFF, 0xFF)
}
num := bytesToInt(buf)
assert.Equal(t, tc.number, num.Int64(), "error while converting %d", tc.number)
}
}
var stringCases = []struct {
numStr string
buf []byte
}{
{"-1256271214286163627607479687759920896", []byte{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 255}},
{"168884912246183068104079824028124185087", []byte{255, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 127}},
{"1402184777283668118200134432800768511", []byte{255, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1}},
{"-43536131589161850832973096317989605473920", []byte{128, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 128}},
{"43235871975677457350187428577111288447360", []byte{128, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 127}},
}
// this cases are from stdlib
// https://github.com/dotnet/runtime/blob/master/src/libraries/System.Runtime.Numerics/tests/BigInteger/ToByteArray.cs#L96
// note that they are in big-endian
var stdlibCases = []struct {
numStr string
buf []byte
}{
{"0", []byte{0}},
{"127", []byte{0x7F}},
{"128", []byte{0x00, 0x80}},
{"33022", []byte{0x00, 0x80, 0xFE}},
{"-32514", []byte{0x80, 0xFE}},
{"-18374686475376656384", []byte{0xff, 0x01, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00}},
{"-18446744069414584320", []byte{0xff, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00}},
{"12364093636075302621581796971036731159910277399901099375861080574506898189967563102391591201943540153492149033597384108294298661111799425262742266671957323486506857011293831406641316917374615487590434666756862524718179898130435474398176187353530443750986128762955255137790631223519091107256083370837751230886741470719554141609004126665185940207631783192780186624919167901565253877397154522582982120840364212333366972597473045167409184762879376102731157263235904816835054250885637739932914015117504485702897712016943555929710070193511128651378003670520306509417025958556935067307123832592173743652726898616663215056178200135054604939862749863002480827458494339065850786495122398411385446068167146399066035389699059499954747263948595492570959736940353095030589033792026029085438901525807032848103038290802923997216273712349905230080849822000411239032166420681788646737098078876258256753058713515144604794792139863186822520361187685685356628044518258989638970651859178568755065879235553215218267011024902142765549091793970027321040036512883269922219608216030987714165823965404563131018846411947569009598716649463301689241563037584803938711917477764863093448004918315253652379776337794243677630540042379049027", []byte{0x00, 0xf0, 0x1d, 0x7b, 0xa2, 0xfd, 0x50, 0xf9, 0x50, 0x07, 0xce, 0x2a, 0xdf, 0xfb, 0x75, 0x70, 0x49, 0x5e, 0x5d, 0xf7, 0x1b, 0x0a, 0x76, 0x1f, 0xe7, 0xe3, 0xc7, 0x0a, 0xc7, 0xee, 0xca, 0x4e, 0xa2, 0xe6, 0xae, 0xe8, 0x1a, 0x2c, 0x3b, 0xa9, 0x12, 0x77, 0xb1, 0x47, 0x3c, 0xb5, 0xab, 0x32, 0x26, 0x18, 0x0d, 0x43, 0x51, 0x6b, 0x11, 0x0c, 0x45, 0xed, 0x52, 0x7d, 0xce, 0xe8, 0x75, 0x6c, 0xe1, 0xda, 0xaf, 0x42, 0x1c, 0xc6, 0x21, 0x23, 0x1f, 0x5d, 0x2d, 0x48, 0xf8, 0x20, 0x67, 0x2f, 0x49, 0x3d, 0x3e, 0x5d, 0xc2, 0x53, 0xc8, 0xe0, 0x3d, 0xe2, 0xdc, 0x51, 0x2f, 0x44, 0xc9, 0x72, 0xb6, 0x04, 0xa0, 0x19, 0x1f, 0x03, 0xb9, 0x0f, 0x57, 0x80, 0x55, 0x41, 0x10, 0x7e, 0x7c, 0x78, 0xdc, 0xbb, 0x82, 0x6e, 0x6a, 0xd9, 0x0e, 0xac, 0x87, 0x0c, 0xfd, 0xc0, 0x79, 0xdf, 0xf5, 0x98, 0xfe, 0x9c, 0x58, 0xa9, 0x63, 0xc2, 0x99, 0x31, 0x09, 0x1c, 0x50, 0xcf, 0x03, 0x4f, 0x96, 0xef, 0x98, 0x56, 0x44, 0xc2, 0x0f, 0x63, 0x20, 0x19, 0x0b, 0x60, 0x28, 0x09, 0xb2, 0x3e, 0xe5, 0xe3, 0x91, 0xc2, 0x98, 0x3d, 0xc0, 0x81, 0x0b, 0x5a, 0xdd, 0x88, 0x6a, 0xc1, 0xff, 0x94, 0x7f, 0xe0, 0x96, 0x6b, 0x67, 0x75, 0x80, 0x53, 0xa1, 0x89, 0x14, 0x19, 0x59, 0xdc, 0x13, 0x67, 0x01, 0x7c, 0x64, 0xfe, 0xeb, 0x7b, 0x8c, 0x97, 0x2d, 0x1a, 0x90, 0x48, 0x4b, 0xea, 0x48, 0xc0, 0x77, 0x23, 0x68, 0x65, 0x19, 0xcf, 0xcf, 0x1c, 0x89, 0x93, 0xe0, 0xd2, 0xfd, 0x81, 0x6a, 0x6e, 0xd8, 0x76, 0xad, 0x65, 0xb5, 0xe0, 0xe1, 0xe2, 0x9c, 0x13, 0x70, 0x0e, 0x79, 0x1c, 0xaa, 0xac, 0x0d, 0x3f, 0x10, 0x4e, 0x47, 0x36, 0xb9, 0x23, 0xd3, 0x6a, 0x50, 0x9a, 0xe2, 0x83, 0x94, 0xf8, 0x1b, 0x41, 0x4c, 0x22, 0x92, 0x58, 0x9f, 0xc8, 0xad, 0x36, 0x51, 0x59, 0xa6, 0xbb, 0x86, 0x4f, 0x9d, 0x3a, 0x9f, 0x1d, 0x0b, 0x2e, 0x7f, 0xf8, 0x83, 0xfd, 0x1c, 0x3b, 0xe1, 0x3d, 0xb2, 0xdc, 0x13, 0x18, 0x71, 0xec, 0x63, 0xf3, 0xfc, 0x41, 0x6f, 0x14, 0xec, 0xcc, 0x7f, 0x28, 0xeb, 0x12, 0xc6, 0x4c, 0xa4, 0x92, 0x7f, 0x7a, 0x65, 0xcf, 0x8f, 0x63, 0x47, 0x3e, 0x4f, 0xeb, 0x03, 0x7b, 0x20, 0xf8, 0x01, 0xa2, 0x9d, 0xe2, 0x5f, 0x85, 0xfb, 0x7b, 0xdf, 0x10, 0x45, 0x2f, 0x6f, 0xb2, 0x6b, 0xff, 0x69, 0xf5, 0x64, 0x8e, 0x18, 0x71, 0x7a, 0x04, 0x31, 0xc3, 0xf8, 0xa0, 0x6c, 0x0f, 0x0a, 0x57, 0x83, 0x83, 0x58, 0xda, 0xaf, 0x99, 0xe6, 0x68, 0x13, 0xe8, 0x15, 0xbc, 0xd7, 0xef, 0xb2, 0x4b, 0x08, 0x18, 0x97, 0xb2, 0x77, 0x0c, 0xb5, 0x96, 0xdb, 0x21, 0x14, 0x39, 0x52, 0x9f, 0x83, 0x47, 0x96, 0xe8, 0x9f, 0x94, 0xe2, 0x73, 0x40, 0x02, 0x7f, 0xbd, 0xb9, 0x65, 0x6a, 0x33, 0x15, 0xb8, 0xc8, 0x9d, 0x12, 0xf9, 0x14, 0x04, 0x77, 0x56, 0xdc, 0x87, 0xd2, 0xca, 0xb2, 0x05, 0x99, 0xad, 0xa6, 0xd2, 0x81, 0x8f, 0x64, 0xcd, 0xe5, 0x70, 0x2c, 0xbf, 0xc0, 0xb6, 0xb7, 0xa8, 0x4a, 0x45, 0x6b, 0x98, 0x8f, 0x5b, 0xb8, 0x87, 0xf5, 0x64, 0xd1, 0x67, 0xd6, 0xdd, 0x76, 0x29, 0xf0, 0x77, 0x45, 0xfc, 0x27, 0xa4, 0x4a, 0xac, 0xaa, 0x1a, 0x90, 0xbe, 0xf8, 0x91, 0x50, 0x30, 0x6d, 0x73, 0x49, 0x3c, 0xab, 0xa4, 0xaf, 0x13, 0xa8, 0xdd, 0x0a, 0xf5, 0xc3, 0x34, 0x98, 0xb4, 0x7f, 0x0b, 0xb4, 0x63, 0x0f, 0xe3, 0x6e, 0xcc, 0xf8, 0x1d, 0xea, 0x34, 0x71, 0x8b, 0x06, 0xa5, 0x4f, 0x81, 0x12, 0xa9, 0xfd, 0xb8, 0x43}},
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}
func TestVeryBigInts(t *testing.T) {
for _, tc := range stringCases {
num, ok := new(big.Int).SetString(tc.numStr, 10)
assert.True(t, ok)
result := bytesToInt(tc.buf)
assert.Equal(t, num, result, "error while converting %s from bytes", tc.numStr)
assert.Equal(t, tc.buf, intToBytes(result), "error while converting %s to bytes", tc.numStr)
}
for _, tc := range stdlibCases {
num, ok := new(big.Int).SetString(tc.numStr, 10)
assert.True(t, ok)
result := bytesToInt(util.ArrayReverse(tc.buf))
assert.Equal(t, num, result, "error while converting %s from bytes", tc.numStr)
}
}