2013-08-22 19:14:21 +02:00
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/*
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* Copyright (c) 2013 Conformal Systems LLC <info@conformal.com>
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*
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* Permission to use, copy, modify, and distribute this software for any
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* purpose with or without fee is hereby granted, provided that the above
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* copyright notice and this permission notice appear in all copies.
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*
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* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
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* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
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* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
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* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
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* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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*/
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package tx
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import (
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"bytes"
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"code.google.com/p/go.crypto/ripemd160"
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"encoding/binary"
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"errors"
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2013-08-22 19:14:21 +02:00
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"fmt"
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"github.com/conformal/btcwire"
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"io"
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)
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2013-08-26 19:34:18 +02:00
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// Byte headers prepending received and sent serialized transactions.
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2013-08-22 19:14:21 +02:00
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const (
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RecvTxHeader byte = iota
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SendTxHeader
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)
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2013-09-09 20:14:57 +02:00
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// UtxoStore is a type used for holding all Utxo structures for all
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// addresses in a wallet.
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type UtxoStore []*Utxo
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// Utxo is a type storing information about a single unspent
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// transaction output.
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type Utxo struct {
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AddrHash [ripemd160.Size]byte
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Out OutPoint
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Subscript PkScript
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Amt uint64 // Measured in Satoshis
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Height int64
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BlockHash btcwire.ShaHash
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2013-08-22 19:14:21 +02:00
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}
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// OutPoint is a btcwire.OutPoint with custom methods for serialization.
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2013-09-04 22:16:20 +02:00
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type OutPoint btcwire.OutPoint
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// PkScript is a custom type with methods to serialize pubkey scripts
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// of variable length.
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type PkScript []byte
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// TxStore is a slice holding RecvTx and SendTx pointers.
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type TxStore []interface{}
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// RecvTx is a type storing information about a transaction that was
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// received by an address in a wallet.
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type RecvTx struct {
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TxHash btcwire.ShaHash
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BlockHash btcwire.ShaHash
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Height int64
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Amt uint64 // Measured in Satoshis
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SenderAddr [ripemd160.Size]byte
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ReceiverAddr [ripemd160.Size]byte
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}
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// SendTx is a type storing information about a transaction that was
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// sent by an address in a wallet.
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type SendTx struct {
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TxHash btcwire.ShaHash
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BlockHash btcwire.ShaHash
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Height int64
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Fee uint64 // Measured in Satoshis
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SenderAddr [ripemd160.Size]byte
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ReceiverAddrs []struct {
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Addr [ripemd160.Size]byte
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Amt uint64 // Measured in Satoshis
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}
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}
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// We want to use binaryRead and binaryWrite instead of binary.Read
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// and binary.Write because those from the binary package do not return
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// the number of bytes actually written or read. We need to return
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// this value to correctly support the io.ReaderFrom and io.WriterTo
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// interfaces.
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func binaryRead(r io.Reader, order binary.ByteOrder, data interface{}) (n int64, err error) {
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var read int
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buf := make([]byte, binary.Size(data))
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if read, err = r.Read(buf); err != nil {
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return int64(read), err
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}
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if read < binary.Size(data) {
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return int64(read), io.EOF
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}
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return int64(read), binary.Read(bytes.NewBuffer(buf), order, data)
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}
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// See comment for binaryRead().
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func binaryWrite(w io.Writer, order binary.ByteOrder, data interface{}) (n int64, err error) {
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var buf bytes.Buffer
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if err = binary.Write(&buf, order, data); err != nil {
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return 0, err
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}
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written, err := w.Write(buf.Bytes())
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return int64(written), err
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}
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// ReadFrom satisifies the io.ReaderFrom interface. Utxo structs are
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// read in from r until an io.EOF is reached. If an io.EOF is reached
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// before a Utxo is finished being read, err will be non-nil.
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func (u *UtxoStore) ReadFrom(r io.Reader) (n int64, err error) {
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var read int64
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for {
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// Read Utxo
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utxo := new(Utxo)
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read, err = utxo.ReadFrom(r)
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if err != nil {
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if read == 0 && err == io.EOF {
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return n, nil
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}
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return n + read, err
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}
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n += read
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*u = append(*u, utxo)
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}
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}
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// WriteTo satisifies the io.WriterTo interface. Each Utxo is written
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// to w, prepended by a single byte header to distinguish between
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// confirmed and unconfirmed outputs.
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func (u *UtxoStore) WriteTo(w io.Writer) (n int64, err error) {
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var written int64
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for _, utxo := range *u {
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// Write Utxo
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written, err = utxo.WriteTo(w)
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if err != nil {
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return n + written, err
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}
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n += written
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}
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return n, nil
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}
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// Rollback removes all utxos from and after the block specified
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// by a block height and hash.
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//
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// Correct results rely on u being sorted by block height in
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// increasing order.
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func (u *UtxoStore) Rollback(height int64, hash *btcwire.ShaHash) (modified bool) {
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s := *u
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// endlen specifies the final length of the rolled-back UtxoStore.
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// Past endlen, array elements are nilled. We do this instead of
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// just reslicing with a shorter length to avoid leaving elements
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// in the underlying array so they can be garbage collected.
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endlen := len(s)
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defer func() {
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modified = endlen != len(s)
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for i := endlen; i < len(s); i++ {
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s[i] = nil
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}
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*u = s[:endlen]
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return
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}()
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for i := len(s) - 1; i >= 0; i-- {
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if height > s[i].Height {
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break
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}
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if height == s[i].Height && *hash == s[i].BlockHash {
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endlen = i
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}
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}
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return
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}
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2013-10-15 16:05:51 +02:00
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// Remove removes all utxos from toRemove from a UtxoStore. The order
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// of utxos in the resulting UtxoStore is unspecified.
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func (u *UtxoStore) Remove(toRemove []*Utxo) (modified bool) {
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s := *u
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m := make(map[*Utxo]bool)
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for _, utxo := range s {
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m[utxo] = true
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}
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for _, candidate := range toRemove {
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if _, ok := m[candidate]; ok {
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modified = true
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}
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delete(m, candidate)
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}
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if !modified {
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return
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}
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s = make([]*Utxo, len(m))
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i := 0
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for utxo := range m {
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s[i] = utxo
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i++
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}
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*u = s
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return
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}
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// ReadFrom satisifies the io.ReaderFrom interface. A Utxo is read
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// from r with the format:
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//
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// [AddrHash (20 bytes), Out (36 bytes), Subscript (varies), Amt (8 bytes), Height (8 bytes), BlockHash (32 bytes)]
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//
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// Each field is read little endian.
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func (u *Utxo) ReadFrom(r io.Reader) (n int64, err error) {
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datas := []interface{}{
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&u.AddrHash,
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&u.Out,
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&u.Subscript,
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&u.Amt,
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&u.Height,
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&u.BlockHash,
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}
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var read int64
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for _, data := range datas {
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if rf, ok := data.(io.ReaderFrom); ok {
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read, err = rf.ReadFrom(r)
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} else {
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read, err = binaryRead(r, binary.LittleEndian, data)
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}
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if err != nil {
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return n + read, err
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}
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n += read
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}
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return n, nil
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}
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// WriteTo satisifies the io.WriterTo interface. A Utxo is written to
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// w in the format:
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//
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// [AddrHash (20 bytes), Out (36 bytes), Subscript (varies), Amt (8 bytes), Height (8 bytes), BlockHash (32 bytes)]
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//
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// Each field is written little endian.
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func (u *Utxo) WriteTo(w io.Writer) (n int64, err error) {
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datas := []interface{}{
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&u.AddrHash,
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&u.Out,
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&u.Subscript,
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&u.Amt,
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&u.Height,
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&u.BlockHash,
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}
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var written int64
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for _, data := range datas {
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if wt, ok := data.(io.WriterTo); ok {
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written, err = wt.WriteTo(w)
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} else {
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written, err = binaryWrite(w, binary.LittleEndian, data)
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}
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if err != nil {
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return n + written, err
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}
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n += written
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}
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return n, nil
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}
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// ReadFrom satisifies the io.ReaderFrom interface. An OutPoint is read
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// from r with the format:
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//
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// [Hash (32 bytes), Index (4 bytes)]
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//
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// Each field is read little endian.
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func (o *OutPoint) ReadFrom(r io.Reader) (n int64, err error) {
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datas := []interface{}{
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&o.Hash,
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&o.Index,
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}
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var read int64
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for _, data := range datas {
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read, err = binaryRead(r, binary.LittleEndian, data)
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if err != nil {
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return n + read, err
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}
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n += read
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}
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return n, nil
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}
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// WriteTo satisifies the io.WriterTo interface. An OutPoint is written
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// to w in the format:
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//
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// [Hash (32 bytes), Index (4 bytes)]
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//
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// Each field is written little endian.
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func (o *OutPoint) WriteTo(w io.Writer) (n int64, err error) {
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datas := []interface{}{
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&o.Hash,
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&o.Index,
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}
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var written int64
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for _, data := range datas {
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written, err = binaryWrite(w, binary.LittleEndian, data)
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if err != nil {
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return n + written, err
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}
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n += written
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}
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return n, nil
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}
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// ReadFrom satisifies the io.ReaderFrom interface. A PkScript is read
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// from r with the format:
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//
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// [Length (4 byte unsigned integer), ScriptBytes (Length bytes)]
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//
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// Length is read little endian.
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func (s *PkScript) ReadFrom(r io.Reader) (n int64, err error) {
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var scriptlen uint32
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var read int64
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read, err = binaryRead(r, binary.LittleEndian, &scriptlen)
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if err != nil {
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return n + read, err
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}
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n += read
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scriptbuf := new(bytes.Buffer)
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|
|
|
read, err = scriptbuf.ReadFrom(io.LimitReader(r, int64(scriptlen)))
|
|
|
|
if err != nil {
|
|
|
|
return n + read, err
|
|
|
|
}
|
|
|
|
n += read
|
|
|
|
*s = scriptbuf.Bytes()
|
|
|
|
|
|
|
|
return n, nil
|
|
|
|
}
|
|
|
|
|
2013-09-09 20:14:57 +02:00
|
|
|
// WriteTo satisifies the io.WriterTo interface. A PkScript is written
|
2013-09-09 19:31:37 +02:00
|
|
|
// to w in the format:
|
|
|
|
//
|
|
|
|
// [Length (4 byte unsigned integer), ScriptBytes (Length bytes)]
|
|
|
|
//
|
|
|
|
// Length is written little endian.
|
2013-09-09 20:14:57 +02:00
|
|
|
func (s *PkScript) WriteTo(w io.Writer) (n int64, err error) {
|
2013-09-09 19:31:37 +02:00
|
|
|
var written int64
|
|
|
|
written, err = binaryWrite(w, binary.LittleEndian, uint32(len(*s)))
|
|
|
|
if err != nil {
|
|
|
|
return n + written, nil
|
|
|
|
}
|
|
|
|
n += written
|
|
|
|
|
|
|
|
written, err = bytes.NewBuffer(*s).WriteTo(w)
|
|
|
|
if err != nil {
|
|
|
|
return n + written, nil
|
|
|
|
}
|
|
|
|
n += written
|
|
|
|
|
|
|
|
return n, nil
|
|
|
|
}
|
|
|
|
|
2013-08-22 19:14:21 +02:00
|
|
|
// ReadFrom satisifies the io.ReaderFrom interface. A TxStore is read
|
|
|
|
// in from r with the format:
|
|
|
|
//
|
|
|
|
// [[TxHeader (1 byte), Tx (varies in size)]...]
|
|
|
|
func (txs *TxStore) ReadFrom(r io.Reader) (n int64, err error) {
|
|
|
|
store := []interface{}{}
|
|
|
|
defer func() {
|
|
|
|
*txs = store
|
|
|
|
}()
|
|
|
|
var read int64
|
|
|
|
for {
|
|
|
|
// Read header
|
|
|
|
var header byte
|
|
|
|
read, err = binaryRead(r, binary.LittleEndian, &header)
|
|
|
|
if err != nil {
|
|
|
|
// io.EOF is not an error here.
|
|
|
|
if err == io.EOF {
|
|
|
|
return n + read, nil
|
|
|
|
}
|
|
|
|
return n + read, err
|
|
|
|
}
|
|
|
|
n += read
|
|
|
|
|
|
|
|
var tx io.ReaderFrom
|
|
|
|
switch header {
|
|
|
|
case RecvTxHeader:
|
|
|
|
tx = new(RecvTx)
|
|
|
|
case SendTxHeader:
|
|
|
|
tx = new(SendTx)
|
|
|
|
default:
|
2013-09-09 20:14:57 +02:00
|
|
|
return n, fmt.Errorf("unknown Tx header")
|
2013-08-22 19:14:21 +02:00
|
|
|
}
|
|
|
|
|
|
|
|
// Read tx
|
|
|
|
read, err = tx.ReadFrom(r)
|
|
|
|
if err != nil {
|
|
|
|
return n + read, err
|
|
|
|
}
|
|
|
|
n += read
|
2013-08-26 19:34:18 +02:00
|
|
|
|
|
|
|
store = append(store, tx)
|
2013-08-22 19:14:21 +02:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
// WriteTo satisifies the io.WriterTo interface. A TxStore is written
|
|
|
|
// to w in the format:
|
|
|
|
//
|
|
|
|
// [[TxHeader (1 byte), Tx (varies in size)]...]
|
|
|
|
func (txs *TxStore) WriteTo(w io.Writer) (n int64, err error) {
|
|
|
|
store := ([]interface{})(*txs)
|
|
|
|
var written int64
|
|
|
|
for _, tx := range store {
|
|
|
|
switch tx.(type) {
|
|
|
|
case *RecvTx:
|
|
|
|
written, err = binaryWrite(w, binary.LittleEndian, RecvTxHeader)
|
|
|
|
if err != nil {
|
|
|
|
return n + written, err
|
|
|
|
}
|
|
|
|
n += written
|
|
|
|
case *SendTx:
|
|
|
|
written, err = binaryWrite(w, binary.LittleEndian, SendTxHeader)
|
|
|
|
if err != nil {
|
|
|
|
return n + written, err
|
|
|
|
}
|
|
|
|
n += written
|
|
|
|
default:
|
2013-09-09 20:14:57 +02:00
|
|
|
return n, fmt.Errorf("unknown type in TxStore")
|
2013-08-22 19:14:21 +02:00
|
|
|
}
|
|
|
|
wt := tx.(io.WriterTo)
|
|
|
|
written, err = wt.WriteTo(w)
|
|
|
|
if err != nil {
|
|
|
|
return n + written, err
|
|
|
|
}
|
|
|
|
n += written
|
|
|
|
}
|
|
|
|
return n, nil
|
|
|
|
}
|
|
|
|
|
2013-09-09 20:14:57 +02:00
|
|
|
// Rollback removes all txs from and after the block specified by a
|
|
|
|
// block height and hash.
|
|
|
|
//
|
|
|
|
// Correct results rely on txs being sorted by block height in
|
|
|
|
// increasing order.
|
|
|
|
func (txs *TxStore) Rollback(height int64, hash *btcwire.ShaHash) (modified bool) {
|
|
|
|
s := ([]interface{})(*txs)
|
|
|
|
|
|
|
|
// endlen specifies the final length of the rolled-back TxStore.
|
|
|
|
// Past endlen, array elements are nilled. We do this instead of
|
|
|
|
// just reslicing with a shorter length to avoid leaving elements
|
|
|
|
// in the underlying array so they can be garbage collected.
|
|
|
|
endlen := len(s)
|
|
|
|
defer func() {
|
|
|
|
modified = endlen != len(s)
|
|
|
|
for i := endlen; i < len(s); i++ {
|
|
|
|
s[i] = nil
|
|
|
|
}
|
|
|
|
*txs = s[:endlen]
|
|
|
|
return
|
|
|
|
}()
|
|
|
|
|
|
|
|
for i := len(s) - 1; i >= 0; i-- {
|
|
|
|
var txheight int64
|
|
|
|
var txhash *btcwire.ShaHash
|
|
|
|
switch s[i].(type) {
|
|
|
|
case *RecvTx:
|
|
|
|
tx := s[i].(*RecvTx)
|
|
|
|
if height > tx.Height {
|
|
|
|
break
|
|
|
|
}
|
|
|
|
txheight = tx.Height
|
|
|
|
txhash = &tx.BlockHash
|
|
|
|
case *SendTx:
|
|
|
|
tx := s[i].(*SendTx)
|
|
|
|
if height > tx.Height {
|
|
|
|
break
|
|
|
|
}
|
|
|
|
txheight = tx.Height
|
|
|
|
txhash = &tx.BlockHash
|
|
|
|
}
|
|
|
|
if height == txheight && *hash == *txhash {
|
|
|
|
endlen = i
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return
|
|
|
|
}
|
|
|
|
|
2013-08-22 19:14:21 +02:00
|
|
|
// ReadFrom satisifies the io.ReaderFrom interface. A RecTx is read
|
|
|
|
// in from r with the format:
|
|
|
|
//
|
2013-09-09 20:14:57 +02:00
|
|
|
// [TxHash (32 bytes), BlockHash (32 bytes), Height (8 bytes), Amt (8 bytes), SenderAddr (20 bytes), ReceiverAddr (20 bytes)]
|
2013-08-22 19:14:21 +02:00
|
|
|
//
|
|
|
|
// Each field is read little endian.
|
|
|
|
func (tx *RecvTx) ReadFrom(r io.Reader) (n int64, err error) {
|
|
|
|
datas := []interface{}{
|
|
|
|
&tx.TxHash,
|
2013-09-09 20:14:57 +02:00
|
|
|
&tx.BlockHash,
|
|
|
|
&tx.Height,
|
2013-08-22 19:14:21 +02:00
|
|
|
&tx.Amt,
|
|
|
|
&tx.SenderAddr,
|
|
|
|
&tx.ReceiverAddr,
|
|
|
|
}
|
|
|
|
var read int64
|
|
|
|
for _, data := range datas {
|
|
|
|
read, err = binaryRead(r, binary.LittleEndian, data)
|
|
|
|
if err != nil {
|
|
|
|
return n + read, err
|
|
|
|
}
|
|
|
|
n += read
|
|
|
|
}
|
|
|
|
return n, nil
|
|
|
|
}
|
|
|
|
|
|
|
|
// WriteTo satisifies the io.WriterTo interface. A RecvTx is written to
|
|
|
|
// w in the format:
|
|
|
|
//
|
2013-09-09 20:14:57 +02:00
|
|
|
// [TxHash (32 bytes), BlockHash (32 bytes), Height (8 bytes), Amt (8 bytes), SenderAddr (20 bytes), ReceiverAddr (20 bytes)]
|
2013-08-22 19:14:21 +02:00
|
|
|
//
|
|
|
|
// Each field is written little endian.
|
|
|
|
func (tx *RecvTx) WriteTo(w io.Writer) (n int64, err error) {
|
|
|
|
datas := []interface{}{
|
|
|
|
&tx.TxHash,
|
2013-09-09 20:14:57 +02:00
|
|
|
&tx.BlockHash,
|
|
|
|
&tx.Height,
|
2013-08-22 19:14:21 +02:00
|
|
|
&tx.Amt,
|
|
|
|
&tx.SenderAddr,
|
|
|
|
&tx.ReceiverAddr,
|
|
|
|
}
|
|
|
|
var written int64
|
|
|
|
for _, data := range datas {
|
|
|
|
written, err = binaryWrite(w, binary.LittleEndian, data)
|
|
|
|
if err != nil {
|
|
|
|
return n + written, err
|
|
|
|
}
|
|
|
|
n += written
|
|
|
|
}
|
|
|
|
return n, nil
|
|
|
|
}
|
|
|
|
|
|
|
|
// ReadFrom satisifies the io.WriterTo interface. A SendTx is read
|
|
|
|
// from r with the format:
|
|
|
|
//
|
2013-09-09 20:14:57 +02:00
|
|
|
// [TxHash (32 bytes), Height (8 bytes), Fee (8 bytes), SenderAddr (20 bytes), len(ReceiverAddrs) (4 bytes), ReceiverAddrs[Addr (20 bytes), Amt (8 bytes)]...]
|
2013-08-22 19:14:21 +02:00
|
|
|
//
|
|
|
|
// Each field is read little endian.
|
|
|
|
func (tx *SendTx) ReadFrom(r io.Reader) (n int64, err error) {
|
|
|
|
var nReceivers uint32
|
|
|
|
datas := []interface{}{
|
|
|
|
&tx.TxHash,
|
2013-09-09 20:14:57 +02:00
|
|
|
&tx.Height,
|
2013-08-27 18:39:45 +02:00
|
|
|
&tx.Fee,
|
2013-08-22 19:14:21 +02:00
|
|
|
&tx.SenderAddr,
|
|
|
|
&nReceivers,
|
|
|
|
}
|
|
|
|
var read int64
|
|
|
|
for _, data := range datas {
|
|
|
|
read, err = binaryRead(r, binary.LittleEndian, data)
|
|
|
|
if err != nil {
|
|
|
|
return n + read, err
|
|
|
|
}
|
|
|
|
n += read
|
|
|
|
}
|
|
|
|
if nReceivers == 0 {
|
|
|
|
// XXX: Is this valid? Entire output is a fee for the miner?
|
|
|
|
return n, nil
|
|
|
|
}
|
|
|
|
|
|
|
|
tx.ReceiverAddrs = make([]struct {
|
|
|
|
Addr [ripemd160.Size]byte
|
2013-09-09 19:31:37 +02:00
|
|
|
Amt uint64
|
2013-08-22 19:14:21 +02:00
|
|
|
},
|
|
|
|
nReceivers)
|
|
|
|
for i := uint32(0); i < nReceivers; i++ {
|
|
|
|
datas := []interface{}{
|
|
|
|
&tx.ReceiverAddrs[i].Addr,
|
|
|
|
&tx.ReceiverAddrs[i].Amt,
|
|
|
|
}
|
|
|
|
for _, data := range datas {
|
|
|
|
read, err = binaryRead(r, binary.LittleEndian, data)
|
|
|
|
if err != nil {
|
|
|
|
return n + read, err
|
|
|
|
}
|
|
|
|
n += read
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return n, nil
|
|
|
|
}
|
|
|
|
|
2013-09-09 20:14:57 +02:00
|
|
|
// WriteTo satisifies the io.WriterTo interface. A SendTx is written to
|
2013-08-22 19:14:21 +02:00
|
|
|
// w in the format:
|
|
|
|
//
|
2013-09-09 20:14:57 +02:00
|
|
|
// [TxHash (32 bytes), Height (8 bytes), Fee (8 bytes), SenderAddr (20 bytes), len(ReceiverAddrs) (4 bytes), ReceiverAddrs[Addr (20 bytes), Amt (8 bytes)]...]
|
2013-08-22 19:14:21 +02:00
|
|
|
//
|
|
|
|
// Each field is written little endian.
|
|
|
|
func (tx *SendTx) WriteTo(w io.Writer) (n int64, err error) {
|
|
|
|
nReceivers := uint32(len(tx.ReceiverAddrs))
|
|
|
|
if int64(nReceivers) != int64(len(tx.ReceiverAddrs)) {
|
2013-09-09 20:14:57 +02:00
|
|
|
return n, errors.New("too many receiving addresses")
|
2013-08-22 19:14:21 +02:00
|
|
|
}
|
|
|
|
datas := []interface{}{
|
|
|
|
&tx.TxHash,
|
2013-09-09 20:14:57 +02:00
|
|
|
&tx.Height,
|
2013-08-27 18:39:45 +02:00
|
|
|
&tx.Fee,
|
2013-08-22 19:14:21 +02:00
|
|
|
&tx.SenderAddr,
|
|
|
|
nReceivers,
|
|
|
|
}
|
|
|
|
var written int64
|
|
|
|
for _, data := range datas {
|
|
|
|
written, err = binaryWrite(w, binary.LittleEndian, data)
|
|
|
|
if err != nil {
|
|
|
|
return n + written, err
|
|
|
|
}
|
|
|
|
n += written
|
|
|
|
}
|
|
|
|
|
2013-09-09 20:14:57 +02:00
|
|
|
for i := range tx.ReceiverAddrs {
|
2013-08-22 19:14:21 +02:00
|
|
|
datas := []interface{}{
|
|
|
|
&tx.ReceiverAddrs[i].Addr,
|
|
|
|
&tx.ReceiverAddrs[i].Amt,
|
|
|
|
}
|
|
|
|
for _, data := range datas {
|
|
|
|
written, err = binaryWrite(w, binary.LittleEndian, data)
|
|
|
|
if err != nil {
|
|
|
|
return n + written, err
|
|
|
|
}
|
|
|
|
n += written
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return n, nil
|
|
|
|
}
|