1104 lines
59 KiB
Go
1104 lines
59 KiB
Go
// Copyright 2017 The go-ethereum Authors
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// This file is part of the go-ethereum library.
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//
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// The go-ethereum library is free software: you can redistribute it and/or modify
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// it under the terms of the GNU Lesser General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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//
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// The go-ethereum library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU Lesser General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public License
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// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
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package ethash
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import (
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"encoding/binary"
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"hash"
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"reflect"
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"runtime"
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"sync"
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"sync/atomic"
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"time"
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"unsafe"
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"github.com/ethereum/go-ethereum/common"
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"github.com/ethereum/go-ethereum/common/bitutil"
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"github.com/ethereum/go-ethereum/crypto"
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"github.com/ethereum/go-ethereum/crypto/sha3"
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"github.com/ethereum/go-ethereum/log"
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)
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const (
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datasetInitBytes = 1 << 30 // Bytes in dataset at genesis
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datasetGrowthBytes = 1 << 23 // Dataset growth per epoch
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cacheInitBytes = 1 << 24 // Bytes in cache at genesis
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cacheGrowthBytes = 1 << 17 // Cache growth per epoch
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epochLength = 30000 // Blocks per epoch
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mixBytes = 128 // Width of mix
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hashBytes = 64 // Hash length in bytes
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hashWords = 16 // Number of 32 bit ints in a hash
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datasetParents = 256 // Number of parents of each dataset element
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cacheRounds = 3 // Number of rounds in cache production
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loopAccesses = 64 // Number of accesses in hashimoto loop
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)
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// hasher is a repetitive hasher allowing the same hash data structures to be
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// reused between hash runs instead of requiring new ones to be created.
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type hasher func(dest []byte, data []byte)
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// makeHasher creates a repetitive hasher, allowing the same hash data structures
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// to be reused between hash runs instead of requiring new ones to be created.
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// The returned function is not thread safe!
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func makeHasher(h hash.Hash) hasher {
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return func(dest []byte, data []byte) {
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h.Write(data)
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h.Sum(dest[:0])
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h.Reset()
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}
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}
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// seedHash is the seed to use for generating a verification cache and the mining
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// dataset.
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func seedHash(block uint64) []byte {
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seed := make([]byte, 32)
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if block < epochLength {
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return seed
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}
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keccak256 := makeHasher(sha3.NewKeccak256())
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for i := 0; i < int(block/epochLength); i++ {
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keccak256(seed, seed)
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}
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return seed
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}
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// generateCache creates a verification cache of a given size for an input seed.
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// The cache production process involves first sequentially filling up 32 MB of
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// memory, then performing two passes of Sergio Demian Lerner's RandMemoHash
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// algorithm from Strict Memory Hard Hashing Functions (2014). The output is a
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// set of 524288 64-byte values.
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// This method places the result into dest in machine byte order.
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func generateCache(dest []uint32, epoch uint64, seed []byte) {
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// Print some debug logs to allow analysis on low end devices
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logger := log.New("epoch", epoch)
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start := time.Now()
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defer func() {
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elapsed := time.Since(start)
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logFn := logger.Debug
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if elapsed > 3*time.Second {
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logFn = logger.Info
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}
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logFn("Generated ethash verification cache", "elapsed", common.PrettyDuration(elapsed))
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}()
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// Convert our destination slice to a byte buffer
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header := *(*reflect.SliceHeader)(unsafe.Pointer(&dest))
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header.Len *= 4
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header.Cap *= 4
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cache := *(*[]byte)(unsafe.Pointer(&header))
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// Calculate the number of theoretical rows (we'll store in one buffer nonetheless)
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size := uint64(len(cache))
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rows := int(size) / hashBytes
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// Start a monitoring goroutine to report progress on low end devices
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var progress uint32
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done := make(chan struct{})
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defer close(done)
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go func() {
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for {
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select {
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case <-done:
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return
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case <-time.After(3 * time.Second):
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logger.Info("Generating ethash verification cache", "percentage", atomic.LoadUint32(&progress)*100/uint32(rows)/4, "elapsed", common.PrettyDuration(time.Since(start)))
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}
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}
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}()
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// Create a hasher to reuse between invocations
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keccak512 := makeHasher(sha3.NewKeccak512())
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// Sequentially produce the initial dataset
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keccak512(cache, seed)
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for offset := uint64(hashBytes); offset < size; offset += hashBytes {
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keccak512(cache[offset:], cache[offset-hashBytes:offset])
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atomic.AddUint32(&progress, 1)
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}
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// Use a low-round version of randmemohash
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temp := make([]byte, hashBytes)
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for i := 0; i < cacheRounds; i++ {
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for j := 0; j < rows; j++ {
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var (
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srcOff = ((j - 1 + rows) % rows) * hashBytes
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dstOff = j * hashBytes
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xorOff = (binary.LittleEndian.Uint32(cache[dstOff:]) % uint32(rows)) * hashBytes
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)
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bitutil.XORBytes(temp, cache[srcOff:srcOff+hashBytes], cache[xorOff:xorOff+hashBytes])
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keccak512(cache[dstOff:], temp)
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atomic.AddUint32(&progress, 1)
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}
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}
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// Swap the byte order on big endian systems and return
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if !isLittleEndian() {
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swap(cache)
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}
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}
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// swap changes the byte order of the buffer assuming a uint32 representation.
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func swap(buffer []byte) {
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for i := 0; i < len(buffer); i += 4 {
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binary.BigEndian.PutUint32(buffer[i:], binary.LittleEndian.Uint32(buffer[i:]))
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}
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}
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// prepare converts an ethash cache or dataset from a byte stream into the internal
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// int representation. All ethash methods work with ints to avoid constant byte to
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// int conversions as well as to handle both little and big endian systems.
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func prepare(dest []uint32, src []byte) {
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for i := 0; i < len(dest); i++ {
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dest[i] = binary.LittleEndian.Uint32(src[i*4:])
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}
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}
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// fnv is an algorithm inspired by the FNV hash, which in some cases is used as
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// a non-associative substitute for XOR. Note that we multiply the prime with
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// the full 32-bit input, in contrast with the FNV-1 spec which multiplies the
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// prime with one byte (octet) in turn.
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func fnv(a, b uint32) uint32 {
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return a*0x01000193 ^ b
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}
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// fnvHash mixes in data into mix using the ethash fnv method.
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func fnvHash(mix []uint32, data []uint32) {
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for i := 0; i < len(mix); i++ {
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mix[i] = mix[i]*0x01000193 ^ data[i]
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}
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}
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// generateDatasetItem combines data from 256 pseudorandomly selected cache nodes,
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// and hashes that to compute a single dataset node.
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func generateDatasetItem(cache []uint32, index uint32, keccak512 hasher) []byte {
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// Calculate the number of theoretical rows (we use one buffer nonetheless)
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rows := uint32(len(cache) / hashWords)
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// Initialize the mix
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mix := make([]byte, hashBytes)
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binary.LittleEndian.PutUint32(mix, cache[(index%rows)*hashWords]^index)
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for i := 1; i < hashWords; i++ {
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binary.LittleEndian.PutUint32(mix[i*4:], cache[(index%rows)*hashWords+uint32(i)])
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}
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keccak512(mix, mix)
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// Convert the mix to uint32s to avoid constant bit shifting
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intMix := make([]uint32, hashWords)
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for i := 0; i < len(intMix); i++ {
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intMix[i] = binary.LittleEndian.Uint32(mix[i*4:])
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}
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// fnv it with a lot of random cache nodes based on index
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for i := uint32(0); i < datasetParents; i++ {
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parent := fnv(index^i, intMix[i%16]) % rows
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fnvHash(intMix, cache[parent*hashWords:])
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}
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// Flatten the uint32 mix into a binary one and return
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for i, val := range intMix {
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binary.LittleEndian.PutUint32(mix[i*4:], val)
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}
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keccak512(mix, mix)
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return mix
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}
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// generateDataset generates the entire ethash dataset for mining.
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// This method places the result into dest in machine byte order.
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func generateDataset(dest []uint32, epoch uint64, cache []uint32) {
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// Print some debug logs to allow analysis on low end devices
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logger := log.New("epoch", epoch)
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start := time.Now()
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defer func() {
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elapsed := time.Since(start)
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logFn := logger.Debug
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if elapsed > 3*time.Second {
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logFn = logger.Info
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}
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logFn("Generated ethash verification cache", "elapsed", common.PrettyDuration(elapsed))
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}()
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// Figure out whether the bytes need to be swapped for the machine
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swapped := !isLittleEndian()
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// Convert our destination slice to a byte buffer
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header := *(*reflect.SliceHeader)(unsafe.Pointer(&dest))
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header.Len *= 4
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header.Cap *= 4
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dataset := *(*[]byte)(unsafe.Pointer(&header))
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// Generate the dataset on many goroutines since it takes a while
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threads := runtime.NumCPU()
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size := uint64(len(dataset))
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var pend sync.WaitGroup
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pend.Add(threads)
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var progress uint32
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for i := 0; i < threads; i++ {
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go func(id int) {
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defer pend.Done()
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// Create a hasher to reuse between invocations
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keccak512 := makeHasher(sha3.NewKeccak512())
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// Calculate the data segment this thread should generate
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batch := uint32((size + hashBytes*uint64(threads) - 1) / (hashBytes * uint64(threads)))
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first := uint32(id) * batch
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limit := first + batch
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if limit > uint32(size/hashBytes) {
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limit = uint32(size / hashBytes)
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}
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// Calculate the dataset segment
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percent := uint32(size / hashBytes / 100)
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for index := first; index < limit; index++ {
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item := generateDatasetItem(cache, index, keccak512)
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if swapped {
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swap(item)
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}
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copy(dataset[index*hashBytes:], item)
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if status := atomic.AddUint32(&progress, 1); status%percent == 0 {
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logger.Info("Generating DAG in progress", "percentage", uint64(status*100)/(size/hashBytes), "elapsed", common.PrettyDuration(time.Since(start)))
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}
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}
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}(i)
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}
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// Wait for all the generators to finish and return
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pend.Wait()
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}
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// hashimoto aggregates data from the full dataset in order to produce our final
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// value for a particular header hash and nonce.
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func hashimoto(hash []byte, nonce uint64, size uint64, lookup func(index uint32) []uint32) ([]byte, []byte) {
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// Calculate the number of theoretical rows (we use one buffer nonetheless)
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rows := uint32(size / mixBytes)
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// Combine header+nonce into a 64 byte seed
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seed := make([]byte, 40)
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copy(seed, hash)
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binary.LittleEndian.PutUint64(seed[32:], nonce)
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seed = crypto.Keccak512(seed)
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seedHead := binary.LittleEndian.Uint32(seed)
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// Start the mix with replicated seed
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mix := make([]uint32, mixBytes/4)
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for i := 0; i < len(mix); i++ {
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mix[i] = binary.LittleEndian.Uint32(seed[i%16*4:])
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}
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// Mix in random dataset nodes
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temp := make([]uint32, len(mix))
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for i := 0; i < loopAccesses; i++ {
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parent := fnv(uint32(i)^seedHead, mix[i%len(mix)]) % rows
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for j := uint32(0); j < mixBytes/hashBytes; j++ {
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copy(temp[j*hashWords:], lookup(2*parent+j))
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}
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fnvHash(mix, temp)
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}
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// Compress mix
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for i := 0; i < len(mix); i += 4 {
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mix[i/4] = fnv(fnv(fnv(mix[i], mix[i+1]), mix[i+2]), mix[i+3])
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}
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mix = mix[:len(mix)/4]
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digest := make([]byte, common.HashLength)
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for i, val := range mix {
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binary.LittleEndian.PutUint32(digest[i*4:], val)
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}
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return digest, crypto.Keccak256(append(seed, digest...))
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}
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// hashimotoLight aggregates data from the full dataset (using only a small
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// in-memory cache) in order to produce our final value for a particular header
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// hash and nonce.
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func hashimotoLight(size uint64, cache []uint32, hash []byte, nonce uint64) ([]byte, []byte) {
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keccak512 := makeHasher(sha3.NewKeccak512())
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lookup := func(index uint32) []uint32 {
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rawData := generateDatasetItem(cache, index, keccak512)
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data := make([]uint32, len(rawData)/4)
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for i := 0; i < len(data); i++ {
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data[i] = binary.LittleEndian.Uint32(rawData[i*4:])
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}
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return data
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}
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return hashimoto(hash, nonce, size, lookup)
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}
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// hashimotoFull aggregates data from the full dataset (using the full in-memory
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// dataset) in order to produce our final value for a particular header hash and
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// nonce.
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func hashimotoFull(dataset []uint32, hash []byte, nonce uint64) ([]byte, []byte) {
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lookup := func(index uint32) []uint32 {
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offset := index * hashWords
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return dataset[offset : offset+hashWords]
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}
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return hashimoto(hash, nonce, uint64(len(dataset))*4, lookup)
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}
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const maxEpoch = 2048
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// datasetSizes is a lookup table for the ethash dataset size for the first 2048
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// epochs (i.e. 61440000 blocks).
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var datasetSizes = [maxEpoch]uint64{
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1073739904, 1082130304, 1090514816, 1098906752, 1107293056,
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1115684224, 1124070016, 1132461952, 1140849536, 1149232768,
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1157627776, 1166013824, 1174404736, 1182786944, 1191180416,
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1199568512, 1207958912, 1216345216, 1224732032, 1233124736,
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1241513344, 1249902464, 1258290304, 1266673792, 1275067264,
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1283453312, 1291844992, 1300234112, 1308619904, 1317010048,
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1325397376, 1333787776, 1342176128, 1350561664, 1358954368,
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1367339392, 1375731584, 1384118144, 1392507008, 1400897408,
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1409284736, 1417673344, 1426062464, 1434451072, 1442839168,
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1451229056, 1459615616, 1468006016, 1476394112, 1484782976,
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1493171584, 1501559168, 1509948032, 1518337664, 1526726528,
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|
1535114624, 1543503488, 1551892096, 1560278656, 1568669056,
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|
1577056384, 1585446272, 1593831296, 1602219392, 1610610304,
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|
1619000192, 1627386752, 1635773824, 1644164224, 1652555648,
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|
1660943488, 1669332608, 1677721216, 1686109312, 1694497664,
|
|
1702886272, 1711274624, 1719661184, 1728047744, 1736434816,
|
|
1744829056, 1753218944, 1761606272, 1769995904, 1778382464,
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|
1786772864, 1795157888, 1803550592, 1811937664, 1820327552,
|
|
1828711552, 1837102976, 1845488768, 1853879936, 1862269312,
|
|
1870656896, 1879048064, 1887431552, 1895825024, 1904212096,
|
|
1912601216, 1920988544, 1929379456, 1937765504, 1946156672,
|
|
1954543232, 1962932096, 1971321728, 1979707264, 1988093056,
|
|
1996487552, 2004874624, 2013262208, 2021653888, 2030039936,
|
|
2038430848, 2046819968, 2055208576, 2063596672, 2071981952,
|
|
2080373632, 2088762752, 2097149056, 2105539712, 2113928576,
|
|
2122315136, 2130700672, 2139092608, 2147483264, 2155872128,
|
|
2164257664, 2172642176, 2181035392, 2189426048, 2197814912,
|
|
2206203008, 2214587264, 2222979712, 2231367808, 2239758208,
|
|
2248145024, 2256527744, 2264922752, 2273312128, 2281701248,
|
|
2290086272, 2298476672, 2306867072, 2315251072, 2323639168,
|
|
2332032128, 2340420224, 2348808064, 2357196416, 2365580416,
|
|
2373966976, 2382363008, 2390748544, 2399139968, 2407530368,
|
|
2415918976, 2424307328, 2432695424, 2441084288, 2449472384,
|
|
2457861248, 2466247808, 2474637184, 2483026816, 2491414144,
|
|
2499803776, 2508191872, 2516582272, 2524970368, 2533359232,
|
|
2541743488, 2550134144, 2558525056, 2566913408, 2575301504,
|
|
2583686528, 2592073856, 2600467328, 2608856192, 2617240448,
|
|
2625631616, 2634022016, 2642407552, 2650796416, 2659188352,
|
|
2667574912, 2675965312, 2684352896, 2692738688, 2701130624,
|
|
2709518464, 2717907328, 2726293376, 2734685056, 2743073152,
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|
2751462016, 2759851648, 2768232832, 2776625536, 2785017728,
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|
2793401984, 2801794432, 2810182016, 2818571648, 2826959488,
|
|
2835349376, 2843734144, 2852121472, 2860514432, 2868900992,
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|
2877286784, 2885676928, 2894069632, 2902451584, 2910843008,
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|
2919234688, 2927622784, 2936011648, 2944400768, 2952789376,
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|
2961177728, 2969565568, 2977951616, 2986338944, 2994731392,
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|
3003120256, 3011508352, 3019895936, 3028287104, 3036675968,
|
|
3045063808, 3053452928, 3061837696, 3070228352, 3078615424,
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|
3087003776, 3095394944, 3103782272, 3112173184, 3120562048,
|
|
3128944768, 3137339264, 3145725056, 3154109312, 3162505088,
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|
3170893184, 3179280256, 3187669376, 3196056704, 3204445568,
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|
3212836736, 3221224064, 3229612928, 3238002304, 3246391168,
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|
3254778496, 3263165824, 3271556224, 3279944576, 3288332416,
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|
3296719232, 3305110912, 3313500032, 3321887104, 3330273152,
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|
3338658944, 3347053184, 3355440512, 3363827072, 3372220288,
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|
3380608384, 3388997504, 3397384576, 3405774208, 3414163072,
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|
3422551936, 3430937984, 3439328384, 3447714176, 3456104576,
|
|
3464493952, 3472883584, 3481268864, 3489655168, 3498048896,
|
|
3506434432, 3514826368, 3523213952, 3531603584, 3539987072,
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3548380288, 3556763264, 3565157248, 3573545344, 3581934464,
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|
13195279744, 13203667072, 13212057472, 13220445824, 13228832128,
|
|
13237221248, 13245610624, 13254000512, 13262388352, 13270777472,
|
|
13279166336, 13287553408, 13295943296, 13304331904, 13312719488,
|
|
13321108096, 13329494656, 13337885824, 13346274944, 13354663808,
|
|
13363051136, 13371439232, 13379825024, 13388210816, 13396605056,
|
|
13404995456, 13413380224, 13421771392, 13430159744, 13438546048,
|
|
13446937216, 13455326848, 13463708288, 13472103808, 13480492672,
|
|
13488875648, 13497269888, 13505657728, 13514045312, 13522435712,
|
|
13530824576, 13539210112, 13547599232, 13555989376, 13564379008,
|
|
13572766336, 13581154432, 13589544832, 13597932928, 13606320512,
|
|
13614710656, 13623097472, 13631477632, 13639874944, 13648264064,
|
|
13656652928, 13665041792, 13673430656, 13681818496, 13690207616,
|
|
13698595712, 13706982272, 13715373184, 13723762048, 13732150144,
|
|
13740536704, 13748926592, 13757316224, 13765700992, 13774090112,
|
|
13782477952, 13790869376, 13799259008, 13807647872, 13816036736,
|
|
13824425344, 13832814208, 13841202304, 13849591424, 13857978752,
|
|
13866368896, 13874754688, 13883145344, 13891533184, 13899919232,
|
|
13908311168, 13916692096, 13925085056, 13933473152, 13941866368,
|
|
13950253696, 13958643584, 13967032192, 13975417216, 13983807616,
|
|
13992197504, 14000582272, 14008973696, 14017363072, 14025752192,
|
|
14034137984, 14042528384, 14050918016, 14059301504, 14067691648,
|
|
14076083584, 14084470144, 14092852352, 14101249664, 14109635968,
|
|
14118024832, 14126407552, 14134804352, 14143188608, 14151577984,
|
|
14159968384, 14168357248, 14176741504, 14185127296, 14193521024,
|
|
14201911424, 14210301824, 14218685056, 14227067264, 14235467392,
|
|
14243855488, 14252243072, 14260630144, 14269021568, 14277409408,
|
|
14285799296, 14294187904, 14302571392, 14310961792, 14319353728,
|
|
14327738752, 14336130944, 14344518784, 14352906368, 14361296512,
|
|
14369685376, 14378071424, 14386462592, 14394848128, 14403230848,
|
|
14411627392, 14420013952, 14428402304, 14436793472, 14445181568,
|
|
14453569664, 14461959808, 14470347904, 14478737024, 14487122816,
|
|
14495511424, 14503901824, 14512291712, 14520677504, 14529064832,
|
|
14537456768, 14545845632, 14554234496, 14562618496, 14571011456,
|
|
14579398784, 14587789184, 14596172672, 14604564608, 14612953984,
|
|
14621341312, 14629724288, 14638120832, 14646503296, 14654897536,
|
|
14663284864, 14671675264, 14680061056, 14688447616, 14696835968,
|
|
14705228416, 14713616768, 14722003328, 14730392192, 14738784128,
|
|
14747172736, 14755561088, 14763947648, 14772336512, 14780725376,
|
|
14789110144, 14797499776, 14805892736, 14814276992, 14822670208,
|
|
14831056256, 14839444352, 14847836032, 14856222848, 14864612992,
|
|
14872997504, 14881388672, 14889775744, 14898165376, 14906553472,
|
|
14914944896, 14923329664, 14931721856, 14940109696, 14948497024,
|
|
14956887424, 14965276544, 14973663616, 14982053248, 14990439808,
|
|
14998830976, 15007216768, 15015605888, 15023995264, 15032385152,
|
|
15040768384, 15049154944, 15057549184, 15065939072, 15074328448,
|
|
15082715008, 15091104128, 15099493504, 15107879296, 15116269184,
|
|
15124659584, 15133042304, 15141431936, 15149824384, 15158214272,
|
|
15166602368, 15174991232, 15183378304, 15191760512, 15200154496,
|
|
15208542592, 15216931712, 15225323392, 15233708416, 15242098048,
|
|
15250489216, 15258875264, 15267265408, 15275654528, 15284043136,
|
|
15292431488, 15300819584, 15309208192, 15317596544, 15325986176,
|
|
15334374784, 15342763648, 15351151744, 15359540608, 15367929728,
|
|
15376318336, 15384706432, 15393092992, 15401481856, 15409869952,
|
|
15418258816, 15426649984, 15435037568, 15443425664, 15451815296,
|
|
15460203392, 15468589184, 15476979328, 15485369216, 15493755776,
|
|
15502146944, 15510534272, 15518924416, 15527311232, 15535699072,
|
|
15544089472, 15552478336, 15560866688, 15569254528, 15577642624,
|
|
15586031488, 15594419072, 15602809472, 15611199104, 15619586432,
|
|
15627975296, 15636364928, 15644753792, 15653141888, 15661529216,
|
|
15669918848, 15678305152, 15686696576, 15695083136, 15703474048,
|
|
15711861632, 15720251264, 15728636288, 15737027456, 15745417088,
|
|
15753804928, 15762194048, 15770582656, 15778971008, 15787358336,
|
|
15795747712, 15804132224, 15812523392, 15820909696, 15829300096,
|
|
15837691264, 15846071936, 15854466944, 15862855808, 15871244672,
|
|
15879634816, 15888020608, 15896409728, 15904799104, 15913185152,
|
|
15921577088, 15929966464, 15938354816, 15946743424, 15955129472,
|
|
15963519872, 15971907968, 15980296064, 15988684928, 15997073024,
|
|
16005460864, 16013851264, 16022241152, 16030629248, 16039012736,
|
|
16047406976, 16055794816, 16064181376, 16072571264, 16080957824,
|
|
16089346688, 16097737856, 16106125184, 16114514816, 16122904192,
|
|
16131292544, 16139678848, 16148066944, 16156453504, 16164839552,
|
|
16173236096, 16181623424, 16190012032, 16198401152, 16206790528,
|
|
16215177344, 16223567744, 16231956352, 16240344704, 16248731008,
|
|
16257117824, 16265504384, 16273898624, 16282281856, 16290668672,
|
|
16299064192, 16307449216, 16315842176, 16324230016, 16332613504,
|
|
16341006464, 16349394304, 16357783168, 16366172288, 16374561664,
|
|
16382951296, 16391337856, 16399726208, 16408116352, 16416505472,
|
|
16424892032, 16433282176, 16441668224, 16450058624, 16458448768,
|
|
16466836864, 16475224448, 16483613056, 16492001408, 16500391808,
|
|
16508779648, 16517166976, 16525555328, 16533944192, 16542330752,
|
|
16550719616, 16559110528, 16567497088, 16575888512, 16584274816,
|
|
16592665472, 16601051008, 16609442944, 16617832064, 16626218624,
|
|
16634607488, 16642996096, 16651385728, 16659773824, 16668163712,
|
|
16676552576, 16684938112, 16693328768, 16701718144, 16710095488,
|
|
16718492288, 16726883968, 16735272832, 16743661184, 16752049792,
|
|
16760436608, 16768827008, 16777214336, 16785599104, 16793992832,
|
|
16802381696, 16810768768, 16819151744, 16827542656, 16835934848,
|
|
16844323712, 16852711552, 16861101952, 16869489536, 16877876864,
|
|
16886265728, 16894653056, 16903044736, 16911431296, 16919821696,
|
|
16928207488, 16936592768, 16944987776, 16953375616, 16961763968,
|
|
16970152832, 16978540928, 16986929536, 16995319168, 17003704448,
|
|
17012096896, 17020481152, 17028870784, 17037262208, 17045649536,
|
|
17054039936, 17062426496, 17070814336, 17079205504, 17087592064,
|
|
17095978112, 17104369024, 17112759424, 17121147776, 17129536384,
|
|
17137926016, 17146314368, 17154700928, 17163089792, 17171480192,
|
|
17179864192, 17188256896, 17196644992, 17205033856, 17213423488,
|
|
17221811072, 17230198912, 17238588032, 17246976896, 17255360384,
|
|
17263754624, 17272143232, 17280530048, 17288918912, 17297309312,
|
|
17305696384, 17314085504, 17322475136, 17330863744, 17339252096,
|
|
17347640192, 17356026496, 17364413824, 17372796544, 17381190016,
|
|
17389583488, 17397972608, 17406360704, 17414748544, 17423135872,
|
|
17431527296, 17439915904, 17448303232, 17456691584, 17465081728,
|
|
17473468288, 17481857408, 17490247552, 17498635904, 17507022464,
|
|
17515409024, 17523801728, 17532189824, 17540577664, 17548966016,
|
|
17557353344, 17565741184, 17574131584, 17582519168, 17590907008,
|
|
17599296128, 17607687808, 17616076672, 17624455808, 17632852352,
|
|
17641238656, 17649630848, 17658018944, 17666403968, 17674794112,
|
|
17683178368, 17691573376, 17699962496, 17708350592, 17716739968,
|
|
17725126528, 17733517184, 17741898112, 17750293888, 17758673024,
|
|
17767070336, 17775458432, 17783848832, 17792236928, 17800625536,
|
|
17809012352, 17817402752, 17825785984, 17834178944, 17842563968,
|
|
17850955648, 17859344512, 17867732864, 17876119424, 17884511872,
|
|
17892900224, 17901287296, 17909677696, 17918058112, 17926451072,
|
|
17934843776, 17943230848, 17951609216, 17960008576, 17968397696,
|
|
17976784256, 17985175424, 17993564032, 18001952128, 18010339712,
|
|
18018728576, 18027116672, 18035503232, 18043894144, 18052283264,
|
|
18060672128, 18069056384, 18077449856, 18085837184, 18094225792,
|
|
18102613376, 18111004544, 18119388544, 18127781248, 18136170368,
|
|
18144558976, 18152947328, 18161336192, 18169724288, 18178108544,
|
|
18186498944, 18194886784, 18203275648, 18211666048, 18220048768,
|
|
18228444544, 18236833408, 18245220736}
|
|
|
|
// cacheSizes is a lookup table for the ethash verification cache size for the
|
|
// first 2048 epochs (i.e. 61440000 blocks).
|
|
var cacheSizes = [maxEpoch]uint64{
|
|
16776896, 16907456, 17039296, 17170112, 17301056, 17432512, 17563072,
|
|
17693888, 17824192, 17955904, 18087488, 18218176, 18349504, 18481088,
|
|
18611392, 18742336, 18874304, 19004224, 19135936, 19267264, 19398208,
|
|
19529408, 19660096, 19791424, 19922752, 20053952, 20184896, 20315968,
|
|
20446912, 20576576, 20709184, 20840384, 20971072, 21102272, 21233216,
|
|
21364544, 21494848, 21626816, 21757376, 21887552, 22019392, 22151104,
|
|
22281536, 22412224, 22543936, 22675264, 22806464, 22935872, 23068096,
|
|
23198272, 23330752, 23459008, 23592512, 23723968, 23854912, 23986112,
|
|
24116672, 24247616, 24378688, 24509504, 24640832, 24772544, 24903488,
|
|
25034432, 25165376, 25296704, 25427392, 25558592, 25690048, 25820096,
|
|
25951936, 26081728, 26214208, 26345024, 26476096, 26606656, 26737472,
|
|
26869184, 26998208, 27131584, 27262528, 27393728, 27523904, 27655744,
|
|
27786688, 27917888, 28049344, 28179904, 28311488, 28441792, 28573504,
|
|
28700864, 28835648, 28966208, 29096768, 29228608, 29359808, 29490752,
|
|
29621824, 29752256, 29882816, 30014912, 30144448, 30273728, 30406976,
|
|
30538432, 30670784, 30799936, 30932672, 31063744, 31195072, 31325248,
|
|
31456192, 31588288, 31719232, 31850432, 31981504, 32110784, 32243392,
|
|
32372672, 32505664, 32636608, 32767808, 32897344, 33029824, 33160768,
|
|
33289664, 33423296, 33554368, 33683648, 33816512, 33947456, 34076992,
|
|
34208704, 34340032, 34471744, 34600256, 34734016, 34864576, 34993984,
|
|
35127104, 35258176, 35386688, 35518528, 35650624, 35782336, 35910976,
|
|
36044608, 36175808, 36305728, 36436672, 36568384, 36699968, 36830656,
|
|
36961984, 37093312, 37223488, 37355072, 37486528, 37617472, 37747904,
|
|
37879232, 38009792, 38141888, 38272448, 38403392, 38535104, 38660672,
|
|
38795584, 38925632, 39059264, 39190336, 39320768, 39452096, 39581632,
|
|
39713984, 39844928, 39974848, 40107968, 40238144, 40367168, 40500032,
|
|
40631744, 40762816, 40894144, 41023552, 41155904, 41286208, 41418304,
|
|
41547712, 41680448, 41811904, 41942848, 42073792, 42204992, 42334912,
|
|
42467008, 42597824, 42729152, 42860096, 42991552, 43122368, 43253696,
|
|
43382848, 43515712, 43646912, 43777088, 43907648, 44039104, 44170432,
|
|
44302144, 44433344, 44564288, 44694976, 44825152, 44956864, 45088448,
|
|
45219008, 45350464, 45481024, 45612608, 45744064, 45874496, 46006208,
|
|
46136768, 46267712, 46399424, 46529344, 46660672, 46791488, 46923328,
|
|
47053504, 47185856, 47316928, 47447872, 47579072, 47710144, 47839936,
|
|
47971648, 48103232, 48234176, 48365248, 48496192, 48627136, 48757312,
|
|
48889664, 49020736, 49149248, 49283008, 49413824, 49545152, 49675712,
|
|
49807168, 49938368, 50069056, 50200256, 50331584, 50462656, 50593472,
|
|
50724032, 50853952, 50986048, 51117632, 51248576, 51379904, 51510848,
|
|
51641792, 51773248, 51903296, 52035136, 52164032, 52297664, 52427968,
|
|
52557376, 52690112, 52821952, 52952896, 53081536, 53213504, 53344576,
|
|
53475776, 53608384, 53738816, 53870528, 54000832, 54131776, 54263744,
|
|
54394688, 54525248, 54655936, 54787904, 54918592, 55049152, 55181248,
|
|
55312064, 55442752, 55574336, 55705024, 55836224, 55967168, 56097856,
|
|
56228672, 56358592, 56490176, 56621888, 56753728, 56884928, 57015488,
|
|
57146816, 57278272, 57409216, 57540416, 57671104, 57802432, 57933632,
|
|
58064576, 58195264, 58326976, 58457408, 58588864, 58720192, 58849984,
|
|
58981696, 59113024, 59243456, 59375552, 59506624, 59637568, 59768512,
|
|
59897792, 60030016, 60161984, 60293056, 60423872, 60554432, 60683968,
|
|
60817216, 60948032, 61079488, 61209664, 61341376, 61471936, 61602752,
|
|
61733696, 61865792, 61996736, 62127808, 62259136, 62389568, 62520512,
|
|
62651584, 62781632, 62910784, 63045056, 63176128, 63307072, 63438656,
|
|
63569216, 63700928, 63831616, 63960896, 64093888, 64225088, 64355392,
|
|
64486976, 64617664, 64748608, 64879424, 65009216, 65142464, 65273792,
|
|
65402816, 65535424, 65666752, 65797696, 65927744, 66060224, 66191296,
|
|
66321344, 66453056, 66584384, 66715328, 66846656, 66977728, 67108672,
|
|
67239104, 67370432, 67501888, 67631296, 67763776, 67895104, 68026304,
|
|
68157248, 68287936, 68419264, 68548288, 68681408, 68811968, 68942912,
|
|
69074624, 69205568, 69337024, 69467584, 69599168, 69729472, 69861184,
|
|
69989824, 70122944, 70253888, 70385344, 70515904, 70647232, 70778816,
|
|
70907968, 71040832, 71171648, 71303104, 71432512, 71564992, 71695168,
|
|
71826368, 71958464, 72089536, 72219712, 72350144, 72482624, 72613568,
|
|
72744512, 72875584, 73006144, 73138112, 73268672, 73400128, 73530944,
|
|
73662272, 73793344, 73924544, 74055104, 74185792, 74316992, 74448832,
|
|
74579392, 74710976, 74841664, 74972864, 75102784, 75233344, 75364544,
|
|
75497024, 75627584, 75759296, 75890624, 76021696, 76152256, 76283072,
|
|
76414144, 76545856, 76676672, 76806976, 76937792, 77070016, 77200832,
|
|
77331392, 77462464, 77593664, 77725376, 77856448, 77987776, 78118336,
|
|
78249664, 78380992, 78511424, 78642496, 78773056, 78905152, 79033664,
|
|
79166656, 79297472, 79429568, 79560512, 79690816, 79822784, 79953472,
|
|
80084672, 80214208, 80346944, 80477632, 80608576, 80740288, 80870848,
|
|
81002048, 81133504, 81264448, 81395648, 81525952, 81657536, 81786304,
|
|
81919808, 82050112, 82181312, 82311616, 82443968, 82573376, 82705984,
|
|
82835776, 82967744, 83096768, 83230528, 83359552, 83491264, 83622464,
|
|
83753536, 83886016, 84015296, 84147776, 84277184, 84409792, 84540608,
|
|
84672064, 84803008, 84934336, 85065152, 85193792, 85326784, 85458496,
|
|
85589312, 85721024, 85851968, 85982656, 86112448, 86244416, 86370112,
|
|
86506688, 86637632, 86769344, 86900672, 87031744, 87162304, 87293632,
|
|
87424576, 87555392, 87687104, 87816896, 87947968, 88079168, 88211264,
|
|
88341824, 88473152, 88603712, 88735424, 88862912, 88996672, 89128384,
|
|
89259712, 89390272, 89521984, 89652544, 89783872, 89914816, 90045376,
|
|
90177088, 90307904, 90438848, 90569152, 90700096, 90832832, 90963776,
|
|
91093696, 91223744, 91356992, 91486784, 91618496, 91749824, 91880384,
|
|
92012224, 92143552, 92273344, 92405696, 92536768, 92666432, 92798912,
|
|
92926016, 93060544, 93192128, 93322816, 93453632, 93583936, 93715136,
|
|
93845056, 93977792, 94109504, 94240448, 94371776, 94501184, 94632896,
|
|
94764224, 94895552, 95023424, 95158208, 95287744, 95420224, 95550016,
|
|
95681216, 95811904, 95943872, 96075328, 96203584, 96337856, 96468544,
|
|
96599744, 96731072, 96860992, 96992576, 97124288, 97254848, 97385536,
|
|
97517248, 97647808, 97779392, 97910464, 98041408, 98172608, 98303168,
|
|
98434496, 98565568, 98696768, 98827328, 98958784, 99089728, 99220928,
|
|
99352384, 99482816, 99614272, 99745472, 99876416, 100007104,
|
|
100138048, 100267072, 100401088, 100529984, 100662592, 100791872,
|
|
100925248, 101056064, 101187392, 101317952, 101449408, 101580608,
|
|
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277085632, 277216832, 277347008, 277478848, 277609664, 277740992,
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277868608, 278002624, 278134336, 278265536, 278395328, 278526784,
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278657728, 278789824, 278921152, 279052096, 279182912, 279313088,
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279443776, 279576256, 279706048, 279838528, 279969728, 280099648,
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280230976, 280361408, 280493632, 280622528, 280755392, 280887104,
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281018176, 281147968, 281278912, 281411392, 281542592, 281673152,
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281803712, 281935552, 282066496, 282197312, 282329024, 282458816,
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282590272, 282720832, 282853184, 282983744, 283115072, 283246144,
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283377344, 283508416, 283639744, 283770304, 283901504, 284032576,
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284163136, 284294848, 284426176, 284556992, 284687296, 284819264,
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284950208, 285081536}
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