mirror of
https://github.com/monero-project/research-lab.git
synced 2024-12-22 19:49:35 +00:00
Brandon Goodell
GitHub
commit
442b4836af
4 changed files with 241 additions and 283 deletions
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@ -7,42 +7,56 @@ import time
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class Block(object):
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""" Fundamental object. Contains dict of blockIDs:(parent blocks) """
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def __init__(self, idIn=None, parentList=None):
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self.parents = {}
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self.id = ""
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self.data = None
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def setParents(self, parentList=None):
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if parentList is not None:
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self.parents = copy.deepcopy(parentList)
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def setID(self, idIn = None):
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if idIn is not None:
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self.id = copy.deepcopy(idIn)
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def __init__(self):
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self.id = "" # string
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self.timestamp = None # format tbd
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self.data = None # payload
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self.parents = {} # block ID : pointer to block
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self.children = {} # block ID : pointer to block
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def addChild(self, childIn):
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if childIn not in self.children:
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self.children.update({childIn.id:childIn})
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def addChildren(self, childrenIn):
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for child in childrenIn:
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self.addChild(childrenIn[child])
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def addParent(self, parentIn):
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if parentIn not in self.parents:
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self.parents.update({parentIn.id:parentIn})
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def addParents(self, parentsIn):
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for parent in parentsIn:
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self.addParent(parentsIn[parent])
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class Test_Block(unittest.TestCase):
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def test_Block(self):
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b0 = Block()
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b0.setParents()
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b0.setID("0")
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b0.id = "0"
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self.assertTrue(b0.data is None)
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self.assertTrue(len(b0.parents)==0)
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b1 = Block()
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b1.setParents(parentList={"0":b0})
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b1.setID("1")
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b1.parents.update({"0":b0})
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b1.id = "1"
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for parentID in b1.parents:
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b1.parents[parentID].children.update({b1.id:b1})
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self.assertTrue(b1.data is None)
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self.assertTrue(len(b1.parents)==1)
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self.assertTrue("0" in b1.parents)
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b2 = Block()
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b2.setParents(parentList={"0":b0})
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b2.setID("2")
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b2.parents.update({"0":b0})
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b2.id = "2"
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for parentID in b2.parents:
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b2.parents[parentID].children.update({b2.id:b2})
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self.assertTrue(b2.data is None)
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self.assertTrue(len(b2.parents)==1)
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self.assertTrue("0" in b2.parents)
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b3 = Block()
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b3.setParents(parentList={"1":b1, "2":b2})
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b3.setID("3")
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b3.parents.update({"1":b1, "2":b2})
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b3.id = "3"
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for parentID in b3.parents:
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b3.parents[parentID].children.update({b3.id:b3})
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self.assertTrue(b3.data is None)
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self.assertTrue(len(b3.parents)==2)
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self.assertTrue("1" in b3.parents)
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@ -50,8 +64,10 @@ class Test_Block(unittest.TestCase):
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self.assertFalse("0" in b3.parents)
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b4 = Block()
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b4.setParents(parentList={"2":b2})
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b4.setID("4")
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b4.parents.update({"2":b2})
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b4.id = "4"
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for parentID in b4.parents:
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b4.parents[parentID].children.update({b4.id:b4})
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self.assertTrue(b4.data is None)
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self.assertTrue(len(b4.parents)==1)
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self.assertTrue("2" in b4.parents)
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@ -1,72 +1,227 @@
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from Block import *
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#### #### #### #### #### #### #### #### #### #### #### #### #### #### #### ####
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class BlockDAG(object):
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""" Collection of >=1 block. Also tracks IDs of leaf blocks, adds new leaves. """
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def __init__(self):
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self.blocks = {}
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self.leaves = {}
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self.genBlock = None
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def startDAG(self, idIn=None, genBlockIn=None):
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if genBlockIn is not None:
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genesisBlock = genBlockIn
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""" Collection of >=1 block. """
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def __init__(self, params=None):
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self.genesis = Block()
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self.genesis.id = "0"
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self.blocks = {self.genesis.id:self.genesis}
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self.leaves = {self.genesis.id:self.genesis}
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# Blocks from top-down antichain subsets covering >= 1/2 of blockDAG
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self.votBlocks = {self.genesis.id:self.genesis}
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# Blocks from top-down antichain subsets "non-negl" likely to re-org
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self.ordBlocks = {self.genesis.id:self.genesis}
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if params is not None:
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self.security = params
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else:
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genesisBlock = Block()
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if idIn is None:
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genesisBlock.setID(idIn="0")
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else:
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genesisBlock.setID(idIn)
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self.genBlock = genesisBlock
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self.blocks.update({self.genBlock.id:self.genBlock})
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self.leaves.update({self.genBlock.id:self.genBlock})
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def addLeaf(self, blockIn):
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self.blocks.update({blockIn.id:blockIn})
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self.leaves.update({blockIn.id:blockIn})
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for parent in blockIn.parents:
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self.security = 10
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self.vote = {}
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self.pending = {}
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for blockZ in self.votBlocks:
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for blockX in self.ordBlocks:
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for blockY in self.ordBlocks:
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self.vote.update({(blockZ,blockX,blockY):0})
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self.pending.update({(blockZ,blockX,blockY):0})
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def computeVote(self, dagIn):
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(canopy, fullCanopy) = self.pick(dagIn)
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for layer in fullCanopy:
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for blockZ in layer:
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if blockZ not in dagIn.votBlocks:
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continue
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else:
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for blockX in layer:
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if blockX not in dagIn.ordBlocks:
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continue
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else:
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for blockY in layer:
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if blockY not in dagIn.ordBlocks:
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continue
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else:
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if self.inPast(dagIn,blockY,blockZ) and self.inPast(dagIn,blockX,blockZ):
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# then Z votes recursively
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if blockZ not in dagIn.seenPasts:
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dagIn.seenPasts.update({blockZ:dagIn.getPast(blockZ)})
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dagIn.seenVotes.update({blockZ:dagIn.vote(dagIn.seenPasts[blockZ])})
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dagIn.vote.update({(blockZ,blockX,blockY):dagIn.seenVotes[blockZ][(blockX,blockY)], (blockZ,blockY,blockX):dagIn.seenVotes[blockZ][(blockY,blockX)], (blockZ,blockX,blockZ):1, (blockZ, blockZ, blockX):-1, (blockZ, blockY, blockZ):1, (blockZ, blockZ, blockY):-1})
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elif self.inPast(dagIn, blockY, blockZ) and not self.inPast(dagIn, blockX, blockZ):
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dagIn.vote.update({(blockZ,blockX,blockY):-1, (blockZ,blockY,blockX):1, (blockZ,blockX,blockZ):-1, (blockZ,blockZ,blockX):1, (blockZ,blockZ,blockY):-1, (blockZ,blockY,blockZ):1}) # Then Z votes Y < Z < X
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elif not self.inPast(dagIn, blockY, blockZ) and self.inPast(dagIn, blockX, blockZ):
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dagIn.vote.update({(blockZ,blockX,blockY):1, (blockZ,blockY,blockX):-1, (blockZ,blockX,blockZ):1, (blockZ,blockZ,blockX):-1, (blockZ,blockZ,blockY):1, (blockZ,blockY,blockZ):-1}) # Then Z votes X < Z < Y
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else:
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if dagIn.pending[(blockZ,blockX,blockY)] > 0:
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dagIn.vote.update({(blockZ,blockX,blockY):1, (blockZ,blockY,blockX):-1, (blockZ, blockX, blockZ):-1, (blockZ, blockZ, blockX):1, (blockZ, blockY, blockZ):-1, (blockZ, blockZ, blockY):1})
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elif dagIn.pending[(blockZ,blockX,blockY)] < 0:
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dagIn.vote.update({(blockZ,blockX,blockY):-1, (blockZ,blockY,blockX):1, (blockZ, blockX, blockZ):-1, (blockZ, blockZ, blockX):1, (blockZ, blockY, blockZ):-1, (blockZ, blockZ, blockY):1})
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else:
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dagIn.vote.update({(blockZ,blockX,blockY):0, (blockZ,blockY,blockX):0, (blockZ, blockX, blockZ):-1, (blockZ, blockZ, blockX):1, (blockZ, blockY, blockZ):-1, (blockZ, blockZ, blockY):1})
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q = deque()
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for p in dagIn.blocks[blockZ].parents:
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if p in dagIn.votBlocks:
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q.append(p)
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while(len(q)>0):
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nextBlock = q.popleft()
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if (nextBlock, blockX, blockY) not in dagIn.pending:
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dagIn.pending.update({(nextBlock, blockX,blockY):0})
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if (nextBlock, blockY, blockX) not in dagIn.pending:
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dagIn.pending.update({(nextBlock, blockY,blockX):0})
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if dagIn.vote[(blockZ,blockX,blockY)] > 0:
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dagIn.pending[(nextBlock,blockX,blockY)] += 1
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dagIn.pending[(nextBlock,blockY,blockX)] -= 1
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elif dagIn.vote[(blockZ,blockX,blockY)] < 0:
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dagIn.pending[(nextBlock,blockX,blockY)] -= 1
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dagIn.pending[(nextBlock,blockY,blockX)] += 1
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for p in dagIn.blocks[nextBlock].parents:
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if p in dagIn.votBlocks:
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q.append(p)
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totalVote = {}
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for blockX in dagIn.ordBlocks:
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for blockY in dagIn.ordBlocks:
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if (blockX, blockY) not in totalVote:
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totalVote.update({(blockX,blockY):0, (blockY,blockX):0})
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for blockZ in dagIn.votBlocks:
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if dagIn.vote[(blockZ,blockX,blockY)] > 0:
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totalVote[(blockX,blockY)] += 1
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elif dagIn.vote[(blockZ,blockX,blockY)] < 0:
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totalVote[(blockX,blockY)] -= 1
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if totalVote[(blockX,blockY)] > 0:
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totalVote[(blockX,blockY)] = 1
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elif totalVote[(blockX,blockY)] < 0:
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totalVote[(blockX,blockY)] = -1
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return totalVote
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def pick(self, dagIn):
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""" Pick voting blocks and orderable blocks """
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(canopy, fullCanopy) = self.antichain(dagIn)
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dagIn.votBlocks = {}
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dagIn.ordBlocks = {}
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idx = 0
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count = len(canopy[idx])
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for block in canopy[idx]:
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dagIn.votBlocks.update({block:dagIn.blocks[block]})
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dagIn.ordBlocks.update({blcok:dagIn.blocks[block]})
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numVoters = 1 - ((-len(dagIn.blocks))//2)
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while(count < numVoters):
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idx += 1
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count += len(canopy[idx])
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for block in canopy[idx]:
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dagIn.votBlocks.update({block:dagIn.blocks[block]})
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if idx < self.security:
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dagIn.ordBlocks.update({block:dagIn.blocks[block]})
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return (canopy, fullCanopy)
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def makeBlock(self, idIn, parentsIn):
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assert idIn not in self.blocks
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newBlock = Block()
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newBlock.id = idIn
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newBlock.addParents(parentsIn)
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self.blocks.update({newBlock.id:newBlock})
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for parent in parentsIn:
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if parent in self.leaves:
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del self.leaves[parent]
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self.blocks[parent].addChild(newBlock)
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self.leaves.update({newBlock.id:newBlock})
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def pruneLeaves(self, dagIn):
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result = BlockDAG()
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result.genesis.id = dagIn.genesis.id
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q = deque()
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for child in dagIn.genesis.children:
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if child not in dagIn.leaves:
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q.append(child)
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while(len(q)>0):
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nextBlock = q.popleft()
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result.makeBlock(nextBlock, dagIn.blocks[nextBlock].parents)
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for child in dagIn.blocks[nextBlock].children:
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if child not in dagIn.leaves:
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q.append(child)
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return result
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def antichain(self, dagIn):
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canopy = []
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fullCanopy = []
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nextDag = dagIn
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canopy.append(nextDag.leaves)
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fullCanopy.append(nextDag.leaves)
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while(len(nextDag.blocks)>1):
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nextDag = dagIn.pruneLeaves(dagIn)
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canopy.append(nextDag.leaves)
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fullCanopy.append(fullCanopy[-1])
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for leaf in nextDag.leaves:
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fullCanopy[-1].append(leaf)
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nextDag = self.pruneLeaves(dagIn)
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return (canopy, fullCanopy)
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def inPast(self, dagIn, y, x):
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""" self.inPast(dag, y,x) if and only if y is in the past of x in dag """
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found = False
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if y in dagIn.blocks[x].parents:
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found = True
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else:
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q = deque()
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for parent in dagIn.blocks[x].parents:
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q.append(parent)
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while(len(q)>0):
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nextBlock = q.popleft()
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if y in dagIn.blocks[nextBlock].parents:
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found = True
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break
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else:
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for parent in dagIn.blocks[nextBlock].parents:
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q.append(parent)
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return found
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def getPast(self, dagIn, block):
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subdag = BlockDAG()
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subdag.genesis = dagIn.genesis
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q = deque()
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for child in dagIn.genesis.children:
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if self.inPast(dagIn,child,block):
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q.append(child)
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while len(q) > 0:
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nextBlock = q.popleft()
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subdag.makeBlock(dagIn.blocks[nextBlock])
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for child in dagIn.blocks[nextBlock].children:
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if self.inPast(dagIn,child,block):
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q.append(child)
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return subdag
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class Test_BlockDAG(unittest.TestCase):
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def test_BlockDAG(self):
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dag = BlockDAG()
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dag.startDAG()
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self.assertTrue("0" in dag.blocks)
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self.assertTrue("0" in dag.leaves)
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self.assertTrue(len(dag.blocks)==1)
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self.assertTrue(len(dag.leaves)==1)
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b0 = dag.genBlock
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b0 = dag.genesis
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b1 = Block()
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b1.setParents(parentList={"0":b0})
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b1.setID("1")
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dag.addLeaf(b1)
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dag.makeBlock("1",{"0":b0})
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b1 = dag.blocks["1"]
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self.assertTrue("1" in dag.blocks)
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self.assertTrue("1" in dag.leaves)
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self.assertTrue("0" not in dag.leaves)
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self.assertTrue(len(dag.blocks)==2)
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self.assertTrue(len(dag.leaves)==1)
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self.assertTrue("1" in b0.children)
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self.assertTrue("1" in dag.genesis.children)
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self.assertTrue("1" in dag.blocks[dag.genesis.id].children)
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dag.makeBlock("2", {"0":b0})
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b2 = dag.blocks["2"]
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dag.makeBlock("3", {"1":b1, "2":b2})
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b3 = dag.blocks["3"]
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dag.makeBlock("4", {"2":b2})
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b4 = dag.blocks["4"]
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print(dag.computeVote(dag))
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b2 = Block()
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b2.setParents(parentList={"0":b0})
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b2.setID("2")
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dag.addLeaf(b2)
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b3 = Block()
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b3.setParents(parentList={"1":b1, "2":b2})
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b3.setID("3")
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dag.addLeaf(b3)
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b4 = Block()
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b4.setParents(parentList={"2":b2})
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b4.setID("4")
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dag.addLeaf(b4)
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self.assertTrue("0" in dag.blocks and "1" in dag.blocks and "2" in dag.blocks and "3" in dag.blocks and "4" in dag.blocks)
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self.assertTrue("3" in dag.leaves and "4" in dag.leaves)
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self.assertTrue(len(dag.blocks)==5 and len(dag.leaves)==2)
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suite = unittest.TestLoader().loadTestsFromTestCase(Test_BlockDAG)
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unittest.TextTestRunner(verbosity=1).run(suite)
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@ -1,216 +0,0 @@
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from BlockDAG import *
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class Spectre(object):
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""" """
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def __init__(self):
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self.dag = BlockDAG()
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self.childRelation = {}
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def setDAG(self, dagIn=None):
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if dagIn is None:
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self.dag = BlockDAG()
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else:
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self.dag = copy.deepcopy(dagIn)
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self.updateChildren() # self.childRelation is a dict: self.childRelation[key]={block with key in block.parents}
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def updateChildren(self):
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self.childRelation = {}
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q = deque()
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for blockID in self.dag.leaves:
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q.append(blockID)
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while len(q) > 0:
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blockID = q.popleft()
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for parent in self.dag.blocks[blockID].parents:
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q.append(parent)
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if parent not in self.childRelation:
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self.childRelation.update({parent:[]})
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self.childRelation[parent].append(blockID)
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def vote(self, subdag=None):
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result = {}
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if subdag is None:
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result = self.vote(self.dag)
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elif len(subdag.blocks)>1:
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canopy = []
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nextdag = copy.deepcopy(subdag)
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while len(nextdag.blocks)>1:
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canopy.append(nextdag.leaves)
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nextdag = self.pruneLeaves(nextdag)
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partialVotes = {}
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for votingBlock in subdag.blocks:
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partialVotes.update({votingBlock:{}})
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for layer in canopy:
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for votingBlock in layer:
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thisPast = self.getPast(votingBlock)
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recursiveVote = self.vote(thisPast)
|
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partialVotes[votingBlock] = copy.deepcopy(recursiveVote)
|
||||
futureIDs = self.getFutureIDs(votingBlock)
|
||||
for blockX in subdag.blocks:
|
||||
for blockY in subdag.blocks:
|
||||
if blockX in thisPast.blocks and blockY in thisPast.blocks:
|
||||
pass
|
||||
elif blockX in thisPast.blocks and blockY not in thisPast.blocks:
|
||||
partialVotes[votingBlock].update({(blockX,votingBlock):True, (blockX, blockY):True, (votingBlock, blockY):True})
|
||||
elif blockX not in thisPast.blocks and blockY in thisPast.blocks:
|
||||
partialVotes[votingBlock].update({(blockY,votingBlock):True, (blockY,blockX):True, (votingBlock,blockX):True})
|
||||
else:
|
||||
partialVotes[votingBlock].update({(votingBlock,blockX):True, (votingBlock,blockY):True})
|
||||
s=0
|
||||
for fid in futureIDs:
|
||||
if fid in subdag.blocks:
|
||||
#print("partialvotes[fid]=",partialVotes[fid])
|
||||
if (blockX, blockY) in partialVotes[fid]:
|
||||
s = s+1
|
||||
elif (blockY, blockX) in partialVotes[fid]:
|
||||
s = s-1
|
||||
if s > 0:
|
||||
partialVotes[votingBlock].update({(blockX,blockY):True})
|
||||
elif s < 0:
|
||||
partialVotes[votingBlock].update({(blockY,blockX):True})
|
||||
for blockX in subdag.blocks:
|
||||
for blockY in subdag.blocks:
|
||||
s = 0
|
||||
for votingBlock in subdag.blocks:
|
||||
if (blockX, blockY) in partialVotes[votingBlock]:
|
||||
s=s+1
|
||||
elif (blockY, blockX) in partialVotes[votingBlock]:
|
||||
s=s-1
|
||||
if s > 0:
|
||||
result.update({(blockX,blockY):True})
|
||||
elif s < 0:
|
||||
result.update({(blockY,blockX):True})
|
||||
return result
|
||||
def pruneLeaves(self, subdag):
|
||||
newsubdag = BlockDAG()
|
||||
newsubdag.startDAG(subdag.genBlock.id, subdag.genBlock)
|
||||
q = deque()
|
||||
for child in self.childRelation[subdag.genBlock.id]:
|
||||
if child in subdag.blocks:
|
||||
q.append(child)
|
||||
while len(q) > 0:
|
||||
nextBlock = q.popleft()
|
||||
if nextBlock not in subdag.leaves:
|
||||
newsubdag.addLeaf(blockIn=subdag.blocks[nextBlock])
|
||||
if nextBlock in self.childRelation:
|
||||
if len(self.childRelation[nextBlock])>1:
|
||||
for child in self.childRelation[nextBlock]:
|
||||
if child in subdag.blocks:
|
||||
q.append(child)
|
||||
return newsubdag
|
||||
def addBlock(self, blockIn=None):
|
||||
if blockIn == None:
|
||||
parents = copy.deepcopy(self.dag.leaves)
|
||||
blockID = str(len(self.dag)+1)
|
||||
blockIn = Block(blockID, parents)
|
||||
else:
|
||||
blockID = blockIn.id
|
||||
self.dag.addLeaf(blockIn)
|
||||
for parent in blockIn.parents:
|
||||
if parent not in self.childRelation:
|
||||
self.childRelation.update({parent:[]})
|
||||
self.childRelation[parent].append(blockID)
|
||||
|
||||
def getPastIDs(self, block):
|
||||
thisPast = {}
|
||||
q = deque()
|
||||
self.updateChildren()
|
||||
for parent in self.dag.blocks[block].parents:
|
||||
q.append(parent)
|
||||
while len(q) > 0:
|
||||
nextPastBlockID = q.popleft()
|
||||
if nextPastBlockID not in thisPast:
|
||||
thisPast.update({nextPastBlockID:self.dag.blocks[nextPastBlockID]})
|
||||
for parent in self.dag.blocks[nextPastBlockID].parents:
|
||||
q.append(parent)
|
||||
return thisPast
|
||||
def getFutureIDs(self, block):
|
||||
thisFuture = {}
|
||||
q = deque()
|
||||
self.updateChildren()
|
||||
if block in self.childRelation:
|
||||
# If this is the case, then block has at least one child.
|
||||
for child in self.childRelation[block]:
|
||||
q.append(child)
|
||||
while len(q) > 0:
|
||||
nextFutureBlockID = q.popleft()
|
||||
if nextFutureBlockID not in thisFuture:
|
||||
thisFuture.update({nextFutureBlockID:self.dag.blocks[nextFutureBlockID]})
|
||||
if nextFutureBlockID in self.childRelation:
|
||||
if len(self.childRelation[nextFutureBlockID]) > 0:
|
||||
for child in self.childRelation[nextFutureBlockID]:
|
||||
q.append(child)
|
||||
else: # In this case, block has no children, so futureIDs should be empty.
|
||||
pass
|
||||
return thisFuture
|
||||
def getPast(self, block):
|
||||
pastIDs = self.getPastIDs(block)
|
||||
subdag = BlockDAG()
|
||||
subdag.startDAG(idIn = self.dag.genBlock.id, genBlockIn = self.dag.genBlock)
|
||||
q = deque()
|
||||
for child in self.childRelation[self.dag.genBlock.id]:
|
||||
if child in pastIDs:
|
||||
q.append(child)
|
||||
while len(q) > 0:
|
||||
nextBlock = q.popleft()
|
||||
if nextBlock in pastIDs:
|
||||
subdag.addLeaf(self.dag.blocks[nextBlock])
|
||||
for child in self.childRelation[nextBlock]:
|
||||
if child in pastIDs:
|
||||
q.append(child)
|
||||
return subdag
|
||||
|
||||
class Test_Spectre(unittest.TestCase):
|
||||
def test_Spectre(self):
|
||||
shepard=Spectre()
|
||||
b0 = Block()
|
||||
b0.setID("0")
|
||||
shepard.dag.startDAG(idIn="0", genBlockIn=b0)
|
||||
self.assertTrue(len(shepard.dag.leaves)==1 and len(shepard.dag.blocks)==1)
|
||||
|
||||
b1 = Block()
|
||||
b1.setParents(parentList={"0":b0})
|
||||
b1.setID("1")
|
||||
shepard.addBlock(b1)
|
||||
|
||||
b2 = Block()
|
||||
b2.setParents(parentList={"0":b0})
|
||||
b2.setID("2")
|
||||
shepard.addBlock(b2)
|
||||
|
||||
b3 = Block()
|
||||
b3.setParents(parentList={"1":b1, "2":b2})
|
||||
b3.setID("3")
|
||||
shepard.addBlock(b3)
|
||||
|
||||
b4 = Block()
|
||||
b4.setParents(parentList={"2":b2})
|
||||
b4.setID("4")
|
||||
shepard.addBlock(b4)
|
||||
|
||||
self.assertTrue("0" in shepard.dag.blocks and "1" in shepard.dag.blocks and "2" in shepard.dag.blocks and "3" in shepard.dag.blocks and "4" in shepard.dag.blocks)
|
||||
self.assertTrue("3" in shepard.dag.leaves and "4" in shepard.dag.leaves)
|
||||
self.assertTrue(len(shepard.dag.blocks)==5 and len(shepard.dag.leaves)==2)
|
||||
self.assertTrue("0" in shepard.childRelation and "1" in shepard.childRelation and "2" in shepard.childRelation)
|
||||
self.assertFalse("3" in shepard.childRelation)
|
||||
self.assertFalse("4" in shepard.childRelation)
|
||||
self.assertTrue("1" in shepard.childRelation["0"] and "2" in shepard.childRelation["0"])
|
||||
self.assertTrue("3" in shepard.childRelation["1"])
|
||||
self.assertTrue("3" in shepard.childRelation["2"] and "4" in shepard.childRelation["2"])
|
||||
self.assertFalse("4" in shepard.childRelation["1"])
|
||||
self.assertFalse("0" in shepard.childRelation["1"])
|
||||
|
||||
vote = shepard.vote()
|
||||
#print(vote)
|
||||
self.assertTrue(("0", "1") in vote and \
|
||||
("0", "2") in vote and \
|
||||
("0", "3") in vote and \
|
||||
("0", "4") in vote and \
|
||||
("2", "1") in vote and \
|
||||
("2", "3") in vote and \
|
||||
("2", "4") in vote and \
|
||||
("1", "3") in vote and \
|
||||
("1", "4") in vote and \
|
||||
("3", "4") in vote)
|
||||
|
||||
|
||||
suite = unittest.TestLoader().loadTestsFromTestCase(Test_Spectre)
|
||||
unittest.TextTestRunner(verbosity=1).run(suite)
|
||||
|
||||
|
||||
|
|
@ -0,0 +1,3 @@
|
|||
Sarang and Moneromooo implement bulletproofs.
|
||||
|
||||
Usually 90+% space complexity savings, up to 25% verification time complexity savings over traditional range proofs.
|
||||
Loading…
Reference in a new issue