diff --git a/pow/ar/block.go b/pow/ar/block.go new file mode 100644 index 0000000000..cc02028cda --- /dev/null +++ b/pow/ar/block.go @@ -0,0 +1,11 @@ +package ar + +import ( + "math/big" + "github.com/ethereum/eth-go/ethtrie" +) + +type Block interface { + Trie() *ethtrie.Trie + Diff() *big.Int +} diff --git a/pow/ar/ops.go b/pow/ar/ops.go new file mode 100644 index 0000000000..3a099be087 --- /dev/null +++ b/pow/ar/ops.go @@ -0,0 +1,54 @@ +package ar + +import "math/big" + +const lenops int64 = 9 + +type OpsFunc func(a, b *big.Int) *big.Int + +var ops [lenops]OpsFunc + +func init() { + ops[0] = Add + ops[1] = Mul + ops[2] = Mod + ops[3] = Xor + ops[4] = And + ops[5] = Or + ops[6] = Sub1 + ops[7] = XorSub + ops[8] = Rsh +} + +func Add(x, y *big.Int) *big.Int { + return new(big.Int).Add(x, y) +} +func Mul(x, y *big.Int) *big.Int { + return new(big.Int).Mul(x, y) +} +func Mod(x, y *big.Int) *big.Int { + return new(big.Int).Mod(x, y) +} +func Xor(x, y *big.Int) *big.Int { + return new(big.Int).Xor(x, y) +} +func And(x, y *big.Int) *big.Int { + return new(big.Int).And(x, y) +} +func Or(x, y *big.Int) *big.Int { + return new(big.Int).Or(x, y) +} +func Sub1(x, y *big.Int) *big.Int { + a := big.NewInt(-1) + a.Sub(a, x) + + return a +} +func XorSub(x, y *big.Int) *big.Int { + t := Sub1(x, nil) + + return t.Xor(t, y) +} +func Rsh(x, y *big.Int) *big.Int { + return new(big.Int).Rsh(x, uint(y.Uint64()%64)) +} diff --git a/pow/ar/pow.go b/pow/ar/pow.go new file mode 100644 index 0000000000..504b8d7ced --- /dev/null +++ b/pow/ar/pow.go @@ -0,0 +1,122 @@ +package ar + +import ( + "math/big" + + "github.com/ethereum/eth-go/ethutil" +) + +type Entry struct { + op OpsFunc + i, j *big.Int +} + +type Tape struct { + tape []Entry + block Block +} + +func NewTape(block Block) *Tape { + return &Tape{nil, block} +} + +func (self *Tape) gen(w, h int64, gen NumberGenerator) { + self.tape = nil + + for v := int64(0); v < h; v++ { + op := ops[gen.rand64(lenops).Int64()] + r := gen.rand64(100).Uint64() + + var j *big.Int + if r < 20 && v > 20 { + j = self.tape[len(self.tape)-1].i + } else { + j = gen.rand64(w) + } + + i := gen.rand64(w) + self.tape = append(self.tape, Entry{op, i, j}) + } +} + +func (self *Tape) runTape(w, h int64, gen NumberGenerator) *big.Int { + var mem []*big.Int + for i := int64(0); i < w; i++ { + mem = append(mem, gen.rand(ethutil.BigPow(2, 64))) + } + + set := func(i, j int) Entry { + entry := self.tape[i*100+j] + mem[entry.i.Uint64()] = entry.op(entry.i, entry.j) + + return entry + } + + dir := true + for i := 0; i < int(h)/100; i++ { + var entry Entry + if dir { + for j := 0; j < 100; j++ { + entry = set(i, j) + } + } else { + for j := 99; i >= 0; j-- { + entry = set(i, j) + } + } + + t := mem[entry.i.Uint64()] + if big.NewInt(2).Cmp(new(big.Int).Mod(t, big.NewInt(37))) < 0 { + dir = !dir + } + } + + return Sha3(mem) +} + +func (self *Tape) Verify(header, nonce []byte) bool { + n := ethutil.BigD(nonce) + + var w int64 = 10000 + var h int64 = 150000 + gen := Rnd(Sha3([]interface{}{header, new(big.Int).Div(n, big.NewInt(1000))})) + self.gen(w, h, gen) + + gen = Rnd(Sha3([]interface{}{header, new(big.Int).Mod(n, big.NewInt(1000))})) + hash := self.runTape(w, h, gen) + + it := self.block.Trie().Iterator() + next := it.Next(string(new(big.Int).Mod(hash, ethutil.BigPow(2, 160)).Bytes())) + + req := ethutil.BigPow(2, 256) + req.Div(req, self.block.Diff()) + return Sha3([]interface{}{hash, next}).Cmp(req) < 0 +} + +func (self *Tape) Run(header []byte) []byte { + nonce := big.NewInt(0) + var w int64 = 10000 + var h int64 = 150000 + + req := ethutil.BigPow(2, 256) + req.Div(req, self.block.Diff()) + + for { + if new(big.Int).Mod(nonce, b(1000)).Cmp(b(0)) == 0 { + gen := Rnd(Sha3([]interface{}{header, new(big.Int).Div(nonce, big.NewInt(1000))})) + self.gen(w, h, gen) + } + + gen := Rnd(Sha3([]interface{}{header, new(big.Int).Mod(nonce, big.NewInt(1000))})) + hash := self.runTape(w, h, gen) + + it := self.block.Trie().Iterator() + next := it.Next(string(new(big.Int).Mod(hash, ethutil.BigPow(2, 160)).Bytes())) + + if Sha3([]interface{}{hash, next}).Cmp(req) < 0 { + return nonce.Bytes() + } else { + nonce.Add(nonce, ethutil.Big1) + } + } +} diff --git a/pow/ar/pow_test.go b/pow/ar/pow_test.go new file mode 100644 index 0000000000..d4d419b3a3 --- /dev/null +++ b/pow/ar/pow_test.go @@ -0,0 +1,47 @@ +package ar + +import ( + "fmt" + "math/big" + "testing" + + "github.com/ethereum/eth-go/ethdb" + "github.com/ethereum/eth-go/ethtrie" +) + +type TestBlock struct { + trie *ethtrie.Trie +} + +func NewTestBlock() *TestBlock { + db, _ := ethdb.NewMemDatabase() + return &TestBlock{ + trie: ethtrie.New(db, ""), + } +} + +func (self *TestBlock) Diff() *big.Int { + return b(10) +} + +func (self *TestBlock) Trie() *ethtrie.Trie { + return self.trie +} + +func (self *TestBlock) Hash() []byte { + a := make([]byte, 32) + a[0] = 10 + a[1] = 2 + return a +} + +func TestPow(t *testing.T) { + entry := make([]byte, 32) + entry[0] = 255 + + block := NewTestBlock() + + pow := NewTape(block) + nonce := pow.Run(block.Hash()) + fmt.Println("Found nonce", nonce) +} diff --git a/pow/ar/rnd.go b/pow/ar/rnd.go new file mode 100644 index 0000000000..4862d058d7 --- /dev/null +++ b/pow/ar/rnd.go @@ -0,0 +1,66 @@ +package ar + +import ( + "math/big" + + "github.com/ethereum/eth-go/ethcrypto" + "github.com/ethereum/eth-go/ethutil" +) + +var b = big.NewInt + +type Node interface { + Big() *big.Int +} + +type ByteNode []byte + +func (self ByteNode) Big() *big.Int { + return ethutil.BigD(ethutil.Encode([]byte(self))) +} + +func Sha3(v interface{}) *big.Int { + if b, ok := v.(*big.Int); ok { + return ethutil.BigD(ethcrypto.Sha3(b.Bytes())) + } else if b, ok := v.([]interface{}); ok { + return ethutil.BigD(ethcrypto.Sha3(ethutil.Encode(b))) + } else if s, ok := v.([]*big.Int); ok { + v := make([]interface{}, len(s)) + for i, b := range s { + v[i] = b + } + + return ethutil.BigD(ethcrypto.Sha3(ethutil.Encode(v))) + } + + return nil +} + +type NumberGenerator interface { + rand(r *big.Int) *big.Int + rand64(r int64) *big.Int +} + +type rnd struct { + seed *big.Int +} + +func Rnd(s *big.Int) rnd { + return rnd{s} +} + +func (self rnd) rand(r *big.Int) *big.Int { + o := b(0).Mod(self.seed, r) + + self.seed.Div(self.seed, r) + + if self.seed.Cmp(ethutil.BigPow(2, 64)) < 0 { + self.seed = Sha3(self.seed) + } + + return o +} + +func (self rnd) rand64(r int64) *big.Int { + return self.rand(b(r)) +}