move address/formatting into crypto

address/address.go

@@ -0,0 +1,68 @@
+// Copyright (C) 2019-2025, Lux Industries, Inc. All rights reserved.
+// See the file LICENSE for licensing terms.
+
+package address
+
+import (
+	"errors"
+	"fmt"
+	"strings"
+
+	"github.com/btcsuite/btcd/btcutil/bech32"
+)
+
+const addressSep = "-"
+
+var (
+	ErrNoSeparator = errors.New("no separator found in address")
+	errBits5To8    = errors.New("unable to convert address from 5-bit to 8-bit formatting")
+	errBits8To5    = errors.New("unable to convert address from 8-bit to 5-bit formatting")
+)
+
+// Parse takes in an address string and splits returns the corresponding parts.
+// This returns the chain ID alias, bech32 HRP, address bytes, and an error if
+// it occurs.
+func Parse(addrStr string) (string, string, []byte, error) {
+	addressParts := strings.SplitN(addrStr, addressSep, 2)
+	if len(addressParts) < 2 {
+		return "", "", nil, ErrNoSeparator
+	}
+	chainID := addressParts[0]
+	rawAddr := addressParts[1]
+
+	hrp, addr, err := ParseBech32(rawAddr)
+	return chainID, hrp, addr, err
+}
+
+// Format takes in a chain prefix, HRP, and byte slice to produce a string for
+// an address.
+func Format(chainIDAlias string, hrp string, addr []byte) (string, error) {
+	addrStr, err := FormatBech32(hrp, addr)
+	if err != nil {
+		return "", err
+	}
+	return fmt.Sprintf("%s%s%s", chainIDAlias, addressSep, addrStr), nil
+}
+
+// ParseBech32 takes a bech32 address as input and returns the HRP and data
+// section of a bech32 address
+func ParseBech32(addrStr string) (string, []byte, error) {
+	rawHRP, decoded, err := bech32.Decode(addrStr)
+	if err != nil {
+		return "", nil, err
+	}
+	addrBytes, err := bech32.ConvertBits(decoded, 5, 8, true)
+	if err != nil {
+		return "", nil, errBits5To8
+	}
+	return rawHRP, addrBytes, nil
+}
+
+// FormatBech32 takes an address's bytes as input and returns a bech32 address
+func FormatBech32(hrp string, payload []byte) (string, error) {
+	fiveBits, err := bech32.ConvertBits(payload, 8, 5, true)
+	if err != nil {
+		return "", errBits8To5
+	}
+	return bech32.Encode(hrp, fiveBits)
+}

address/converter.go

@@ -0,0 +1,26 @@
+// Copyright (C) 2019-2025, Lux Industries, Inc. All rights reserved.
+// See the file LICENSE for licensing terms.
+
+package address
+
+import "github.com/luxfi/ids"
+
+func ParseToID(addrStr string) (ids.ShortID, error) {
+	_, _, addrBytes, err := Parse(addrStr)
+	if err != nil {
+		return ids.ShortID{}, err
+	}
+	return ids.ToShortID(addrBytes)
+}
+
+func ParseToIDs(addrStrs []string) ([]ids.ShortID, error) {
+	var err error
+	addrs := make([]ids.ShortID, len(addrStrs))
+	for i, addrStr := range addrStrs {
+		addrs[i], err = ParseToID(addrStr)
+		if err != nil {
+			return nil, err
+		}
+	}
+	return addrs, nil
+}

address/formatting/encoding.go

@@ -0,0 +1,172 @@
+// Copyright (C) 2019-2025, Lux Industries, Inc. All rights reserved.
+// See the file LICENSE for licensing terms.
+
+package formatting
+
+import (
+	"bytes"
+	"encoding/hex"
+	"errors"
+	"fmt"
+	"math"
+	"strings"
+
+	"github.com/luxfi/crypto/hash"
+)
+
+const (
+	hexPrefix   = "0x"
+	checksumLen = 4
+)
+
+var (
+	errEncodingOverFlow            = errors.New("encoding overflow")
+	errInvalidEncoding             = errors.New("invalid encoding")
+	errUnsupportedEncodingInMethod = errors.New("unsupported encoding in method")
+	errMissingChecksum             = errors.New("input string is smaller than the checksum size")
+	errBadChecksum                 = errors.New("invalid input checksum")
+	errMissingHexPrefix            = errors.New("missing 0x prefix to hex encoding")
+)
+
+// Encoding defines how bytes are converted to a string and vice versa
+type Encoding uint8
+
+const (
+	// Hex specifies a hex plus 4 byte checksum encoding format
+	Hex Encoding = iota
+	// HexNC specifies a hex encoding format
+	HexNC
+	// HexC specifies a hex plus 4 byte checksum encoding format
+	HexC
+	// JSON specifies the JSON encoding format
+	JSON
+)
+
+func (enc Encoding) String() string {
+	switch enc {
+	case Hex:
+		return "hex"
+	case HexNC:
+		return "hexnc"
+	case HexC:
+		return "hexc"
+	case JSON:
+		return "json"
+	default:
+		return errInvalidEncoding.Error()
+	}
+}
+
+func (enc Encoding) valid() bool {
+	switch enc {
+	case Hex, HexNC, HexC, JSON:
+		return true
+	}
+	return false
+}
+
+func (enc Encoding) MarshalJSON() ([]byte, error) {
+	if !enc.valid() {
+		return nil, errInvalidEncoding
+	}
+	return []byte(`"` + enc.String() + `"`), nil
+}
+
+func (enc *Encoding) UnmarshalJSON(b []byte) error {
+	str := string(b)
+	if str == "null" {
+		return nil
+	}
+	switch strings.ToLower(str) {
+	case `"hex"`:
+		*enc = Hex
+	case `"hexnc"`:
+		*enc = HexNC
+	case `"hexc"`:
+		*enc = HexC
+	case `"json"`:
+		*enc = JSON
+	default:
+		return errInvalidEncoding
+	}
+	return nil
+}
+
+// Encode [bytes] to a string using the given encoding format [bytes] may be
+// nil, in which case it will be treated the same as an empty slice.
+func Encode(encoding Encoding, bytes []byte) (string, error) {
+	if !encoding.valid() {
+		return "", errInvalidEncoding
+	}
+
+	switch encoding {
+	case Hex, HexC:
+		bytesLen := len(bytes)
+		if bytesLen > math.MaxInt32-checksumLen {
+			return "", errEncodingOverFlow
+		}
+		checked := make([]byte, bytesLen+checksumLen)
+		copy(checked, bytes)
+		copy(checked[len(bytes):], hash.Checksum(bytes, checksumLen))
+		bytes = checked
+	}
+
+	switch encoding {
+	case Hex, HexNC, HexC:
+		return fmt.Sprintf("0x%x", bytes), nil
+	case JSON:
+		// JSON Marshal does not support []byte input and we rely on the
+		// router's json marshalling to marshal our interface{} into JSON
+		// in response. Therefore it is not supported in this call.
+		return "", errUnsupportedEncodingInMethod
+	default:
+		return "", errInvalidEncoding
+	}
+}
+
+// Decode [str] to bytes using the given encoding
+// If [str] is the empty string, returns a nil byte slice and nil error
+func Decode(encoding Encoding, str string) ([]byte, error) {
+	switch {
+	case !encoding.valid():
+		return nil, errInvalidEncoding
+	case len(str) == 0:
+		return nil, nil
+	}
+
+	var (
+		decodedBytes []byte
+		err          error
+	)
+	switch encoding {
+	case Hex, HexNC, HexC:
+		if !strings.HasPrefix(str, hexPrefix) {
+			return nil, errMissingHexPrefix
+		}
+		decodedBytes, err = hex.DecodeString(str[2:])
+	case JSON:
+		// JSON unmarshalling requires interface and has no return values
+		// contrary to this method, therefore it is not supported in this call
+		return nil, errUnsupportedEncodingInMethod
+	default:
+		return nil, errInvalidEncoding
+	}
+	if err != nil {
+		return nil, err
+	}
+
+	switch encoding {
+	case Hex, HexC:
+		if len(decodedBytes) < checksumLen {
+			return nil, errMissingChecksum
+		}
+		// Verify the checksum
+		rawBytes := decodedBytes[:len(decodedBytes)-checksumLen]
+		checksum := decodedBytes[len(decodedBytes)-checksumLen:]
+		if !bytes.Equal(checksum, hash.Checksum(rawBytes, checksumLen)) {
+			return nil, errBadChecksum
+		}
+		decodedBytes = rawBytes
+	}
+	return decodedBytes, nil
+}

address/formatting/encoding_benchmark_test.go

@@ -0,0 +1,68 @@
+// Copyright (C) 2019-2025, Lux Industries, Inc. All rights reserved.
+// See the file LICENSE for licensing terms.
+
+package formatting
+
+import (
+	"fmt"
+	"math/rand"
+	"testing"
+
+	"github.com/stretchr/testify/require"
+
+	"github.com/luxfi/constants"
+)
+
+func BenchmarkEncodings(b *testing.B) {
+	benchmarks := []struct {
+		encoding Encoding
+		size     int
+	}{
+		{
+			encoding: Hex,
+			size:     1 * constants.KiB, // 1kb
+		},
+		{
+			encoding: Hex,
+			size:     4 * constants.KiB, // 4kb
+		},
+		{
+			encoding: Hex,
+			size:     32 * constants.KiB, // 32kb
+		},
+		{
+			encoding: Hex,
+			size:     128 * constants.KiB, // 128kb
+		},
+		{
+			encoding: Hex,
+			size:     256 * constants.KiB, // 256kb
+		},
+		{
+			encoding: Hex,
+			size:     512 * constants.KiB, // 512kb
+		},
+		{
+			encoding: Hex,
+			size:     1 * constants.MiB, // 1mb
+		},
+		{
+			encoding: Hex,
+			size:     2 * constants.MiB, // 2mb
+		},
+		{
+			encoding: Hex,
+			size:     4 * constants.MiB, // 4mb
+		},
+	}
+	for _, benchmark := range benchmarks {
+		bytes := make([]byte, benchmark.size)
+		_, _ = rand.Read(bytes) // #nosec G404
+		b.Run(fmt.Sprintf("%s-%d bytes", benchmark.encoding, benchmark.size), func(b *testing.B) {
+			for n := 0; n < b.N; n++ {
+				_, err := Encode(benchmark.encoding, bytes)
+				require.NoError(b, err)
+			}
+		})
+	}
+}

address/formatting/encoding_test.go

@@ -0,0 +1,153 @@
+// Copyright (C) 2019-2025, Lux Industries, Inc. All rights reserved.
+// See the file LICENSE for licensing terms.
+
+package formatting
+
+import (
+	"encoding/hex"
+	"encoding/json"
+	"testing"
+
+	"github.com/stretchr/testify/require"
+)
+
+func TestEncodingMarshalJSON(t *testing.T) {
+	require := require.New(t)
+
+	enc := Hex
+	jsonBytes, err := enc.MarshalJSON()
+	require.NoError(err)
+	require.JSONEq(`"hex"`, string(jsonBytes))
+}
+
+func TestEncodingUnmarshalJSON(t *testing.T) {
+	require := require.New(t)
+
+	jsonBytes := []byte(`"hex"`)
+	var enc Encoding
+	require.NoError(json.Unmarshal(jsonBytes, &enc))
+	require.Equal(Hex, enc)
+
+	var serr *json.SyntaxError
+	jsonBytes = []byte("")
+	require.ErrorAs(json.Unmarshal(jsonBytes, &enc), &serr)
+
+	jsonBytes = []byte(`""`)
+	err := json.Unmarshal(jsonBytes, &enc)
+	require.ErrorIs(err, errInvalidEncoding)
+}
+
+func TestEncodingString(t *testing.T) {
+	enc := Hex
+	require.Equal(t, "hex", enc.String())
+}
+
+// Test encoding bytes to a string and decoding back to bytes
+func TestEncodeDecode(t *testing.T) {
+	require := require.New(t)
+
+	type test struct {
+		encoding Encoding
+		bytes    []byte
+		str      string
+	}
+
+	id := [32]byte{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32}
+	tests := []test{
+		{
+			Hex,
+			[]byte{},
+			"0x7852b855",
+		},
+		{
+			Hex,
+			[]byte{0},
+			"0x0017afa01d",
+		},
+		{
+			Hex,
+			[]byte{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 255},
+			"0x00010203040506070809ff4482539c",
+		},
+		{
+			Hex,
+			id[:],
+			"0x0102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f20b7a612c9",
+		},
+	}
+
+	for _, test := range tests {
+		// Encode the bytes
+		strResult, err := Encode(test.encoding, test.bytes)
+		require.NoError(err)
+		// Make sure the string repr. is what we expected
+		require.Equal(test.str, strResult)
+		// Decode the string
+		bytesResult, err := Decode(test.encoding, strResult)
+		require.NoError(err)
+		// Make sure we got the same bytes back
+		require.Equal(test.bytes, bytesResult)
+	}
+}
+
+// Test that encoding nil bytes works
+func TestEncodeNil(t *testing.T) {
+	require := require.New(t)
+
+	str, err := Encode(Hex, nil)
+	require.NoError(err)
+	require.Equal("0x7852b855", str)
+}
+
+func TestDecodeHexInvalid(t *testing.T) {
+	tests := []struct {
+		inputStr    string
+		expectedErr error
+	}{
+		{
+			inputStr:    "0",
+			expectedErr: errMissingHexPrefix,
+		},
+		{
+			inputStr:    "x",
+			expectedErr: errMissingHexPrefix,
+		},
+		{
+			inputStr:    "0xg",
+			expectedErr: hex.InvalidByteError('g'),
+		},
+		{
+			inputStr:    "0x0017afa0Zd",
+			expectedErr: hex.InvalidByteError('Z'),
+		},
+		{
+			inputStr:    "0xafafafafaf",
+			expectedErr: errBadChecksum,
+		},
+	}
+	for _, test := range tests {
+		_, err := Decode(Hex, test.inputStr)
+		require.ErrorIs(t, err, test.expectedErr)
+	}
+}
+
+func TestDecodeNil(t *testing.T) {
+	require := require.New(t)
+	result, err := Decode(Hex, "")
+	require.NoError(err)
+	require.Empty(result)
+}
+
+func FuzzEncodeDecode(f *testing.F) {
+	f.Fuzz(func(t *testing.T, bytes []byte) {
+		require := require.New(t)
+
+		str, err := Encode(Hex, bytes)
+		require.NoError(err)
+
+		decoded, err := Decode(Hex, str)
+		require.NoError(err)
+
+		require.Equal(bytes, decoded)
+	})
+}

address/formatting/int_format.go

@@ -0,0 +1,17 @@
+// Copyright (C) 2019-2025, Lux Industries, Inc. All rights reserved.
+// See the file LICENSE for licensing terms.
+
+package formatting
+
+import (
+	"fmt"
+	"math"
+)
+
+func IntFormat(maxValue int) string {
+	log := 1
+	if maxValue > 0 {
+		log = int(math.Ceil(math.Log10(float64(maxValue + 1))))
+	}
+	return fmt.Sprintf("%%0%dd", log)
+}

address/formatting/int_format_test.go

@@ -0,0 +1,27 @@
+// Copyright (C) 2019-2025, Lux Industries, Inc. All rights reserved.
+// See the file LICENSE for licensing terms.
+
+package formatting
+
+import (
+	"testing"
+
+	"github.com/stretchr/testify/require"
+)
+
+func TestIntFormat(t *testing.T) {
+	require := require.New(t)
+
+	require.Equal("%01d", IntFormat(0))
+	require.Equal("%01d", IntFormat(9))
+	require.Equal("%02d", IntFormat(10))
+	require.Equal("%02d", IntFormat(99))
+	require.Equal("%03d", IntFormat(100))
+	require.Equal("%03d", IntFormat(999))
+	require.Equal("%04d", IntFormat(1000))
+	require.Equal("%04d", IntFormat(9999))
+	require.Equal("%05d", IntFormat(10000))
+	require.Equal("%05d", IntFormat(99999))
+	require.Equal("%06d", IntFormat(100000))
+	require.Equal("%06d", IntFormat(999999))
+}

address/formatting/prefixed_stringer.go

@@ -0,0 +1,13 @@
+// Copyright (C) 2019-2025, Lux Industries, Inc. All rights reserved.
+// See the file LICENSE for licensing terms.
+
+package formatting
+
+import "fmt"
+
+// PrefixedStringer extends a stringer that adds a prefix
+type PrefixedStringer interface {
+	fmt.Stringer
+
+	PrefixedString(prefix string) string
+}

go.mod

@@ -7,6 +7,7 @@ exclude github.com/luxfi/geth v1.16.1
 require (
 	filippo.io/age v1.2.1
 	github.com/ProjectZKM/Ziren/crates/go-runtime/zkvm_runtime v0.0.0-20251230134950-44c893854e3f
+	github.com/btcsuite/btcd/btcutil v1.1.6
 	github.com/cloudflare/circl v1.6.2
 	github.com/consensys/gnark-crypto v0.19.2
 	github.com/crate-crypto/go-eth-kzg v1.4.0
@@ -19,6 +20,7 @@ require (
 	github.com/jedisct1/go-minisign v0.0.0-20241212093149-d2f9f49435c7
 	github.com/leanovate/gopter v0.2.11
 	github.com/luxfi/cache v1.1.0
+	github.com/luxfi/constants v1.4.2
 	github.com/luxfi/gpu v0.30.0
 	github.com/luxfi/ids v1.2.7
 	github.com/luxfi/log v1.2.1
@@ -37,14 +39,17 @@ require (
 require (
 	github.com/bits-and-blooms/bitset v1.24.4 // indirect
 	github.com/davecgh/go-spew v1.1.2-0.20180830191138-d8f796af33cc // indirect
+	github.com/gorilla/rpc v1.2.1 // indirect
 	github.com/holiman/uint256 v1.3.2 // indirect
 	github.com/klauspost/cpuid/v2 v2.3.0 // indirect
+	github.com/luxfi/math v0.1.4 // indirect
+	github.com/luxfi/node v1.20.3 // indirect
 	github.com/luxfi/utils v1.1.0 // indirect
 	github.com/pmezard/go-difflib v1.0.1-0.20181226105442-5d4384ee4fb2 // indirect
-	github.com/rogpeppe/go-internal v1.14.1 // indirect
 	go.uber.org/multierr v1.11.0 // indirect
 	go.uber.org/zap v1.27.1 // indirect
 	golang.org/x/exp v0.0.0-20251219203646-944ab1f22d93 // indirect
+	gonum.org/v1/gonum v0.16.0 // indirect
 	gopkg.in/natefinch/lumberjack.v2 v2.2.1 // indirect
 	gopkg.in/yaml.v3 v3.0.1 // indirect
 )

go.sum

@@ -45,6 +45,7 @@ github.com/BurntSushi/toml v0.3.1/go.mod h1:xHWCNGjB5oqiDr8zfno3MHue2Ht5sIBksp03
 github.com/BurntSushi/xgb v0.0.0-20160522181843-27f122750802/go.mod h1:IVnqGOEym/WlBOVXweHU+Q+/VP0lqqI8lqeDx9IjBqo=
 github.com/ProjectZKM/Ziren/crates/go-runtime/zkvm_runtime v0.0.0-20251230134950-44c893854e3f h1:a5PUgHGinaD6XrLmIDLQmGHocjIjBsBAcR5gALjZvMU=
 github.com/ProjectZKM/Ziren/crates/go-runtime/zkvm_runtime v0.0.0-20251230134950-44c893854e3f/go.mod h1:ioLG6R+5bUSO1oeGSDxOV3FADARuMoytZCSX6MEMQkI=
+github.com/aead/siphash v1.0.1/go.mod h1:Nywa3cDsYNNK3gaciGTWPwHt0wlpNV15vwmswBAUSII=
 github.com/antihax/optional v1.0.0/go.mod h1:uupD/76wgC+ih3iEmQUL+0Ugr19nfwCT1kdvxnR2qWY=
 github.com/armon/circbuf v0.0.0-20150827004946-bbbad097214e/go.mod h1:3U/XgcO3hCbHZ8TKRvWD2dDTCfh9M9ya+I9JpbB7O8o=
 github.com/armon/go-metrics v0.0.0-20180917152333-f0300d1749da/go.mod h1:Q73ZrmVTwzkszR9V5SSuryQ31EELlFMUz1kKyl939pY=
@@ -53,6 +54,29 @@ github.com/bgentry/speakeasy v0.1.0/go.mod h1:+zsyZBPWlz7T6j88CTgSN5bM796AkVf0kB
 github.com/bits-and-blooms/bitset v1.24.4 h1:95H15Og1clikBrKr/DuzMXkQzECs1M6hhoGXLwLQOZE=
 github.com/bits-and-blooms/bitset v1.24.4/go.mod h1:7hO7Gc7Pp1vODcmWvKMRA9BNmbv6a/7QIWpPxHddWR8=
 github.com/bketelsen/crypt v0.0.4/go.mod h1:aI6NrJ0pMGgvZKL1iVgXLnfIFJtfV+bKCoqOes/6LfM=
+github.com/btcsuite/btcd v0.20.1-beta/go.mod h1:wVuoA8VJLEcwgqHBwHmzLRazpKxTv13Px/pDuV7OomQ=
+github.com/btcsuite/btcd v0.22.0-beta.0.20220111032746-97732e52810c/go.mod h1:tjmYdS6MLJ5/s0Fj4DbLgSbDHbEqLJrtnHecBFkdz5M=
+github.com/btcsuite/btcd v0.23.5-0.20231215221805-96c9fd8078fd/go.mod h1:nm3Bko6zh6bWP60UxwoT5LzdGJsQJaPo6HjduXq9p6A=
+github.com/btcsuite/btcd v0.24.2/go.mod h1:5C8ChTkl5ejr3WHj8tkQSCmydiMEPB0ZhQhehpq7Dgg=
+github.com/btcsuite/btcd/btcec/v2 v2.1.0/go.mod h1:2VzYrv4Gm4apmbVVsSq5bqf1Ec8v56E48Vt0Y/umPgA=
+github.com/btcsuite/btcd/btcec/v2 v2.1.3/go.mod h1:ctjw4H1kknNJmRN4iP1R7bTQ+v3GJkZBd6mui8ZsAZE=
+github.com/btcsuite/btcd/btcutil v1.0.0/go.mod h1:Uoxwv0pqYWhD//tfTiipkxNfdhG9UrLwaeswfjfdF0A=
+github.com/btcsuite/btcd/btcutil v1.1.0/go.mod h1:5OapHB7A2hBBWLm48mmw4MOHNJCcUBTwmWH/0Jn8VHE=
+github.com/btcsuite/btcd/btcutil v1.1.5/go.mod h1:PSZZ4UitpLBWzxGd5VGOrLnmOjtPP/a6HaFo12zMs00=
+github.com/btcsuite/btcd/btcutil v1.1.6 h1:zFL2+c3Lb9gEgqKNzowKUPQNb8jV7v5Oaodi/AYFd6c=
+github.com/btcsuite/btcd/btcutil v1.1.6/go.mod h1:9dFymx8HpuLqBnsPELrImQeTQfKBQqzqGbbV3jK55aE=
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@@ -189,17 +223,22 @@ github.com/hashicorp/memberlist v0.1.3/go.mod h1:ajVTdAv/9Im8oMAAj5G31PhhMCZJV2p
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@@ -255,6 +312,8 @@ github.com/rogpeppe/go-internal v1.14.1 h1:UQB4HGPB6osV0SQTLymcB4TgvyWu6ZyliaW0t
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 github.com/sean-/seed v0.0.0-20170313163322-e2103e2c3529/go.mod h1:DxrIzT+xaE7yg65j358z/aeFdxmN0P9QXhEzd20vsDc=
 github.com/shurcooL/go v0.0.0-20200502201357-93f07166e636/go.mod h1:TDJrrUr11Vxrven61rcy3hJMUqaf/CLWYhHNPmT14Lk=
 github.com/shurcooL/httpfs v0.0.0-20190707220628-8d4bc4ba7749/go.mod h1:ZY1cvUeJuFPAdZ/B6v7RHavJWZn2YPVFQ1OSXhCGOkg=
@@ -272,17 +331,25 @@ github.com/spf13/jwalterweatherman v1.1.0/go.mod h1:aNWZUN0dPAAO/Ljvb5BEdw96iTZ0
 github.com/spf13/pflag v1.0.5/go.mod h1:McXfInJRrz4CZXVZOBLb0bTZqETkiAhM9Iw0y3An2Bg=
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 github.com/stretchr/objx v0.1.0/go.mod h1:HFkY916IF+rwdDfMAkV7OtwuqBVzrE8GR6GFx+wExME=
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 github.com/yuin/goldmark v1.1.25/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74=
 github.com/yuin/goldmark v1.1.27/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74=
 github.com/yuin/goldmark v1.1.32/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74=
@@ -309,12 +376,14 @@ go.uber.org/atomic v1.7.0/go.mod h1:fEN4uk6kAWBTFdckzkM89CLk9XfWZrxpCo0nPH17wJc=
 go.uber.org/goleak v1.3.0 h1:2K3zAYmnTNqV73imy9J1T3WC+gmCePx2hEGkimedGto=
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 go.uber.org/multierr v1.6.0/go.mod h1:cdWPpRnG4AhwMwsgIHip0KRBQjJy5kYEpYjJxpXp9iU=
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 go.uber.org/zap v1.17.0/go.mod h1:MXVU+bhUf/A7Xi2HNOnopQOrmycQ5Ih87HtOu4q5SSo=
 go.uber.org/zap v1.27.1 h1:08RqriUEv8+ArZRYSTXy1LeBScaMpVSTBhCeaZYfMYc=
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 golang.org/x/crypto v0.0.0-20181029021203-45a5f77698d3/go.mod h1:6SG95UA2DQfeDnfUPMdvaQW0Q7yPrPDi9nlGo2tz2b4=
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@@ -337,6 +406,7 @@ golang.org/x/exp v0.0.0-20200119233911-0405dc783f0a/go.mod h1:2RIsYlXP63K8oxa1u0
 golang.org/x/exp v0.0.0-20200207192155-f17229e696bd/go.mod h1:J/WKrq2StrnmMY6+EHIKF9dgMWnmCNThgcyBT1FY9mM=
 golang.org/x/exp v0.0.0-20200224162631-6cc2880d07d6/go.mod h1:3jZMyOhIsHpP37uCMkUooju7aAi5cS1Q23tOzKc+0MU=
 golang.org/x/exp v0.0.0-20251219203646-944ab1f22d93 h1:fQsdNF2N+/YewlRZiricy4P1iimyPKZ/xwniHj8Q2a0=
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 golang.org/x/image v0.0.0-20190227222117-0694c2d4d067/go.mod h1:kZ7UVZpmo3dzQBMxlp+ypCbDeSB+sBbTgSJuh5dn5js=
 golang.org/x/image v0.0.0-20190802002840-cff245a6509b/go.mod h1:FeLwcggjj3mMvU+oOTbSwawSJRM1uh48EjtB4UJZlP0=
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@@ -365,8 +435,10 @@ golang.org/x/mod v0.4.2/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA=
 golang.org/x/mod v0.6.0-dev.0.20220419223038-86c51ed26bb4/go.mod h1:jJ57K6gSWd91VN4djpZkiMVwK6gcyfeH4XE8wZrZaV4=
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@@ -389,9 +461,11 @@ golang.org/x/net v0.0.0-20200324143707-d3edc9973b7e/go.mod h1:qpuaurCH72eLCgpAm/
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@@ -433,6 +507,7 @@ golang.org/x/sync v0.19.0 h1:vV+1eWNmZ5geRlYjzm2adRgW2/mcpevXNg50YZtPCE4=
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@@ -442,9 +517,11 @@ golang.org/x/sys v0.0.0-20190507160741-ecd444e8653b/go.mod h1:h1NjWce9XRLGQEsW7w
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@@ -458,8 +535,10 @@ golang.org/x/sys v0.0.0-20200331124033-c3d80250170d/go.mod h1:h1NjWce9XRLGQEsW7w
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@@ -557,6 +636,8 @@ golang.org/x/xerrors v0.0.0-20190717185122-a985d3407aa7/go.mod h1:I/5z698sn9Ka8T
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+gonum.org/v1/gonum v0.16.0 h1:5+ul4Swaf3ESvrOnidPp4GZbzf0mxVQpDCYUQE7OJfk=
+gonum.org/v1/gonum v0.16.0/go.mod h1:fef3am4MQ93R2HHpKnLk4/Tbh/s0+wqD5nfa6Pnwy4E=
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@@ -664,12 +745,17 @@ gopkg.in/check.v1 v1.0.0-20180628173108-788fd7840127/go.mod h1:Co6ibVJAznAaIkqp8
 gopkg.in/check.v1 v1.0.0-20201130134442-10cb98267c6c h1:Hei/4ADfdWqJk1ZMxUNpqntNwaWcugrBjAiHlqqRiVk=
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+gopkg.in/fsnotify.v1 v1.4.7/go.mod h1:Tz8NjZHkW78fSQdbUxIjBTcgA1z1m8ZHf0WmKUhAMys=
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