Merge branch 'main' of github.com:Rucknium/misc-research into main

2024-11-16 15:58:03 +00:00 · 2022-03-18 19:51:47 +00:00 · 2022-03-18 19:51:47 +00:00 · a900da792f
commit a900da792f
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 Copyright (c) 2022 Rucknium
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 might be different; for a GUI interface, you would use an "about box".
  You should also get your employer (if you work as a programmer) or school,
 if any, to sign a "copyright disclaimer" for the program, if necessary.
 For more information on this, and how to apply and follow the GNU GPL, see
 <http://www.gnu.org/licenses/>.
  The GNU General Public License does not permit incorporating your program
 into proprietary programs.  If your program is a subroutine library, you
 may consider it more useful to permit linking proprietary applications with
 the library.  If this is what you want to do, use the GNU Lesser General
 Public License instead of this License.  But first, please read
 <http://www.gnu.org/philosophy/why-not-lgpl.html>.
--- a/CashFusion-Descendant-Analysis/R/construct-edgelist.R
+++ b/CashFusion-Descendant-Analysis/R/construct-edgelist.R
@ -0,0 +1,92 @@
 # install.packages("data.table")
 # install.packages("RSQLite")
 # install.packages("DBI")
 library(data.table)
 library(RSQLite)
 library(DBI)
 data.dir <- ""
 # Input data directory here, with trailing "/"
 source("https://gist.githubusercontent.com/jeffwong/5925000/raw/bf02ed0dd2963169a91664be02fb18e45c4d1e20/sqlitewritetable.R")
 # From https://gist.github.com/jeffwong/5925000
 # Modifies RSQLite's sqliteWriteTable function so as to reject duplicates
 con <- DBI::dbConnect(RSQLite::SQLite(), paste0(data.dir, "tx-graph-node-indices.db"))
 DBI::dbExecute(con, "CREATE TABLE nodes (
 node TEXT,
 node_index INTEGER PRIMARY KEY AUTOINCREMENT,
 unique(node)
 )")
 DBI::dbWriteTable(con, "edgelist", 
  data.frame(origin = character(0), destination = character(0), stringsAsFactors = FALSE))
 tx.graph.files <- list.files(data.dir)
 tx.graph.files <- tx.graph.files[grepl("^tx_graph.+rds$", tx.graph.files)]
 tx.graph.indexed <- vector("list", length(tx.graph.files))
 names(tx.graph.indexed) <- tx.graph.files
 for (file.iter in tx.graph.files) {
  tx.graph.chunk <- readRDS(paste0(data.dir, file.iter))
  tx.graph.chunk <-
    rbind(
      data.table(origin = paste0(tx.graph.chunk$incoming$origin.txid, "-", 
        formatC(tx.graph.chunk$incoming$origin.position, width = 4, format = "f", flag = "0", digits = 0)),
        destination = tx.graph.chunk$incoming$txid, stringsAsFactors = FALSE),
      data.table(origin = tx.graph.chunk$outgoing$txid,
        destination = paste0(tx.graph.chunk$outgoing$txid, "-", 
          formatC(tx.graph.chunk$outgoing$position, width = 4, format = "f", flag = "0", digits = 0)), stringsAsFactors = FALSE)
    )
  DBI::dbWriteTable(con, "edgelist", 
    tx.graph.chunk, append = TRUE)
  new.nodes <- unique(c(tx.graph.chunk$origin, tx.graph.chunk$destination))
  nodes.to.insert <- data.frame(node = new.nodes, node_index = NA, stringsAsFactors = FALSE)
  mysqliteWriteTable(con, "nodes", 
    nodes.to.insert, append = TRUE, row.names = FALSE, ignore = TRUE)
  cat(file.iter, base::date(), "\n")
 }
 DBI::dbWriteTable(con, "edgelist_intermediate_1", 
  data.frame(origin = character(0), destination = character(0),
    node_index = integer(0), stringsAsFactors = FALSE))
 base::date()
 DBI::dbExecute(con, "INSERT INTO edgelist_intermediate_1 SELECT 
  origin, destination, node_index FROM
  edgelist JOIN nodes ON edgelist.origin = nodes.node")
 base::date()
 DBI::dbExecute(con, 
  "ALTER TABLE edgelist_intermediate_1 RENAME COLUMN node_index TO origin_index")
 DBI::dbWriteTable(con, "edgelist_intermediate_2", 
  data.frame(origin = character(0), destination = character(0),
    origin_index = integer(0), node_index = integer(0), stringsAsFactors = FALSE))
 base::date()
 DBI::dbExecute(con, "INSERT INTO edgelist_intermediate_2 SELECT 
  origin, destination, origin_index, node_index FROM
  edgelist_intermediate_1 JOIN nodes ON edgelist_intermediate_1.destination = nodes.node")
 base::date()
 DBI::dbExecute(con, 
  "ALTER TABLE edgelist_intermediate_2 RENAME COLUMN node_index TO destination_index")
--- a/CashFusion-Descendant-Analysis/R/descendant-statistics.R
+++ b/CashFusion-Descendant-Analysis/R/descendant-statistics.R
@ -0,0 +1,129 @@
 # install.packages("data.table")
 # install.packages("RSQLite")
 # install.packages("DBI")
 library(data.table)
 library(RSQLite)
 library(DBI)
 data.dir <- ""
 # Input data directory here, with trailing "/"
 load(paste0(data.dir, "touched-UTXO-intermediate-COMPLETE.Rdata"), verbose = TRUE)
 con <- DBI::dbConnect(RSQLite::SQLite(), paste0(data.dir, "tx-graph-node-indices.db"))
 DBI::dbWriteTable(con, "utxovalue", 
  data.frame(destination = character(0), value = numeric(0), stringsAsFactors = FALSE),
  overwrite = TRUE)
 tx.graph.files <- list.files(data.dir)
 tx.graph.files <- tx.graph.files[grepl("^tx_graph.+rds$", tx.graph.files)]
 for (file.iter in tx.graph.files) {
  tx.graph.chunk <- readRDS(paste0(data.dir, file.iter))
  tx.graph.chunk <- data.frame(destination = paste0(tx.graph.chunk$outgoing$txid, "-", 
    formatC(tx.graph.chunk$outgoing$position, width = 4, format = "f", flag = "0", digits = 0)), 
    value = tx.graph.chunk$outgoing$value, stringsAsFactors = FALSE)
  DBI::dbWriteTable(con, "utxovalue", 
    tx.graph.chunk, append = TRUE)
  cat(base::date(), file.iter, "\n")
 }
 master.edgelist <- DBI::dbGetQuery(con, 
  "SELECT origin_index, destination_index FROM edgelist_intermediate_2")
 str(master.edgelist)
 master.edgelist <- as.matrix(master.edgelist)
 data.table::uniqueN(c(master.edgelist))
 utxo.set <- setdiff(master.edgelist[, 2], master.edgelist[, 1])
 rm(master.edgelist)
 DBI::dbWriteTable(con, "utxoset", 
  data.frame(destination_index = utxo.set, stringsAsFactors = FALSE),
  overwrite = TRUE)
 DBI::dbWriteTable(con, "utxoset_intermediate_1", 
  data.frame(destination = character(0), destination_index = integer(0), stringsAsFactors = FALSE),
  overwrite = TRUE)
 base::date()
 DBI::dbExecute(con, "INSERT INTO utxoset_intermediate_1 SELECT 
  destination, utxoset.destination_index AS destination_index FROM
  utxoset INNER JOIN edgelist_intermediate_2 ON utxoset.destination_index = edgelist_intermediate_2.destination_index")
 base::date()
 DBI::dbWriteTable(con, "utxoset_intermediate_2", 
  data.frame(destination = character(0), destination_index = integer(0),
    value = numeric(0), stringsAsFactors = FALSE),
  overwrite = TRUE)
 base::date()
 DBI::dbExecute(con, "INSERT INTO utxoset_intermediate_2 SELECT 
  utxoset_intermediate_1.destination AS destination, destination_index, value FROM
  utxoset_intermediate_1 INNER JOIN utxovalue ON utxoset_intermediate_1.destination = utxovalue.destination")
 base::date()
 utxoset.value.extended <- DBI::dbGetQuery(con, 
  'SELECT * FROM utxoset_intermediate_2')
 colnames(utxoset.value.extended) <- c("txid_position", "tx_graph_index", "value")
 utxoset.value.extended$is_cashfusion_descendant <- ifelse(
  utxoset.value.extended$tx_graph_index %in% touched.UTXO, 1L, 0L)
 unspent.coinbases <- readRDS(paste0(data.dir, "unspent_coinbases.rds"))
 nrow(unspent.coinbases)
 unspent.coinbases$tx_graph_index <- NA_integer_
 unspent.coinbases$is_coinbase <- 1L
 unspent.coinbases$is_cashfusion_descendant <- 0L
 utxoset.value.extended$is_coinbase <- 0L
 utxoset.value.extended <- rbind(
  utxoset.value.extended[, c("txid_position", "tx_graph_index", "value", "is_cashfusion_descendant", "is_coinbase")],
  unspent.coinbases[, c("txid_position", "tx_graph_index", "value", "is_cashfusion_descendant", "is_coinbase")]
  )
 100 * prop.table(table(utxoset.value.extended$is_cashfusion_descendant[
  utxoset.value.extended$value > 0 ]))
 utxoset.value.aggregated <- aggregate(utxoset.value.extended$value[
  utxoset.value.extended$value > 0 ], 
  by = list(utxoset.value.extended$is_cashfusion_descendant[
    utxoset.value.extended$value > 0 ]), FUN = sum)
 utxoset.value.aggregated$percent <- 100 * utxoset.value.aggregated$x / sum(utxoset.value.aggregated$x)
 utxoset.value.aggregated
 saveRDS(utxoset.value.extended, file = paste0(data.dir, "CashFusion-Descendants.rds"))
 write.csv(utxoset.value.extended, file = paste0(data.dir, "CashFusion-Descendants.csv"), row.names = FALSE)
--- a/CashFusion-Descendant-Analysis/R/determine-descendants.R
+++ b/CashFusion-Descendant-Analysis/R/determine-descendants.R
@ -0,0 +1,93 @@
 # install.packages("data.table")
 # install.packages("RSQLite")
 # install.packages("DBI")
 # install.packages("igraph")
 library(data.table)
 library(RSQLite)
 library(DBI)
 library(igraph)
 data.dir <- ""
 # Input data directory here, with trailing "/"
 fusions.df <- readRDS(url("https://github.com/Rucknium/CashFusionStats/raw/main/data/fusions_df.rds"))
 # Get the list of transactions that are the fusion transactions
 con <- DBI::dbConnect(RSQLite::SQLite(), paste0(data.dir, "tx-graph-node-indices.db"))
 master.edgelist <- DBI::dbGetQuery(con, 
  "SELECT origin_index, destination_index FROM edgelist_intermediate_2")
 master.edgelist <- as.matrix(master.edgelist)
 bch.graph <- igraph::graph_from_edgelist(master.edgelist)
 fusioned.nodes <- DBI::dbGetQuery(con, paste0('SELECT * FROM nodes WHERE node IN ("',
  paste0(fusions.df$txid, collapse = '", "'), '")'))
 fusioned.nodes <- base::intersect(unique(c(master.edgelist)), fusioned.nodes$node_index)
 utxo.set <- setdiff(master.edgelist[, 2], master.edgelist[, 1])
 fusioned.nodes <- sort(fusioned.nodes, decreasing = FALSE)
 fusioned.nodes.to.process <- split(fusioned.nodes, 
  cut(fusioned.nodes, fusioned.nodes[seq(4, length(fusioned.nodes) - 4, by = 4)]))
 fusioned.nodes.to.process <- rev(fusioned.nodes.to.process)
 touched.UTXO <-  c()
 counter.i <- 1
 rm(master.edgelist)
 gc()
 for ( i in fusioned.nodes.to.process[counter.i:length(fusioned.nodes.to.process)]) {
  to.set <- setdiff(utxo.set, touched.UTXO)
  if (counter.i %% 10 == 0 ) {
    save(i, counter.i, touched.UTXO, 
      file = paste0(data.dir, "touched-UTXO-intermediate-", 
        counter.i, ".Rdata"), compress = FALSE)
  }
  bch.paths <- igraph::distances(bch.graph, 
    v = i, 
    to = to.set, mode = "out")
  touched.UTXO <- c(touched.UTXO, to.set[colSums(is.finite(bch.paths)) > 0 ] )
  cat(base::date(), " | ",
    round(100 * length(touched.UTXO) / length(utxo.set), 3), "% | ",
    counter.i,
    " of ", length(fusioned.nodes.to.process), "\n")
  counter.i <- counter.i + 1
 }
 save(i, counter.i, touched.UTXO, 
  file = paste0(data.dir, "touched-UTXO-intermediate-", 
    "COMPLETE", ".Rdata"), compress = FALSE)
 # How to restart the analysis if interrupted:
 # Run this script up until the "gc()".
 # Note that you should be using the version of fusions_df.rds that you used 
 # in the initial script run.
 # Find the most recent save state, i.e. highest value of 
 # touched-UTXO-intermediate-xxxx.Rdata
 # Then load it:
 # load(paste0(data.dir, "touched-UTXO-intermediate-xxxx.Rdata"))
 # Then start the for loop
--- a/CashFusion-Descendant-Analysis/R/extract-tx-graphs.R
+++ b/CashFusion-Descendant-Analysis/R/extract-tx-graphs.R
@ -0,0 +1,123 @@
 # install.packages("rbch")
 # install.packages("data.table")
 # install.packages("future.apply")
 library(rbch)
 library(data.table)
 library(future.apply)
 bitcoin.conf.file <- ""
 # Input filepath for your bitcoin.conf file
 data.dir <- ""
 # Input data directory here, with trailing "/"
 bch.config <- rbch::conrpc(bitcoin.conf.file)
 first.fusion.height <- 646085
 current.block.height <- rbch::getblockchaininfo(bch.config)@result$blocks
 heights.to.process <- first.fusion.height:current.block.height
 heights.to.process <- split(heights.to.process, 
  cut(heights.to.process, ceiling(length(heights.to.process)/50)))
 future::plan(future::multiprocess())
 for (height.set in heights.to.process) {
  extracted.txs <- future.apply::future_lapply(height.set, function(iter.block.height) {
    if (iter.block.height %% 1000 == 0) {
      cat(iter.block.height, base::date(), "\n")
    }
    block.hash <- rbch::getblockhash(bch.config, iter.block.height)
    block.data <- rbch::getblock(bch.config, blockhash = block.hash@result, verbosity = "l2")
    # Argument verbose = 2 gives full transaction data
    # For some reason it doesn't give the fee: 
    # https://docs.bitcoincashnode.org/doc/json-rpc/getrawtransaction.html
    raw.txs.ls <- block.data@result$tx
    if ( length(raw.txs.ls) < 2) { return(list(incoming = NULL, outgoing = NULL)) }
    # Skip coinbase-only blocks
    # Results of this lapply below are returned
    lapply(2:length(raw.txs.ls), function(iter) {
      # Start at 2 since the first tx is the coinbase tx
      latest.tx <- raw.txs.ls[[iter]]
      addresses <- vector("character", length(latest.tx$vout) )
      value <- vector("numeric", length(latest.tx$vout) )
      for (j in seq_along(latest.tx$vout)) { 
        extracted.address <- latest.tx$vout[[j]]$scriptPubKey$addresses
        if (length(extracted.address) > 1) {
          extracted.address <- list(paste0(sort(unlist(extracted.address)), collapse = "|"))
          # sort() so that the address order is always the same
        }
        stopifnot(length(extracted.address[[1]]) <= 1)
        if (length(extracted.address) == 0) {next}
        addresses[j] <- extracted.address[[1]]
        value[j] <- latest.tx$vout[[j]]$value
      }
      outgoing <- data.table(txid = latest.tx$txid, address = addresses, 
        position = seq_along(latest.tx$vout), value = value, stringsAsFactors = FALSE)
      origin.txid <- vector("character", length(latest.tx$vin) )
      origin.position <- vector("numeric", length(latest.tx$vin) )
      for (j in seq_along(latest.tx$vin)) { 
        extracted.address <- latest.tx$vin[[j]]$txid
        stopifnot(length(extracted.address) <= 1)
        stopifnot(length(extracted.address[[1]]) <= 1)
        if (length(extracted.address) == 0) {next}
        origin.txid[j] <- latest.tx$vin[[j]]$txid
        origin.position[j] <- latest.tx$vin[[j]]$vout + 1
      }
      incoming <- data.table(txid = latest.tx$txid, origin.txid = origin.txid,
        origin.position = origin.position, stringsAsFactors = FALSE)
      list(incoming = incoming, outgoing = outgoing)
    })
  })
  print(object.size(extracted.txs), units = "Mb")
  extracted.txs <- unlist(extracted.txs, recursive = FALSE)
  incoming <- data.table::rbindlist(lapply(extracted.txs, function(x) {
    x[[1]]
  })
  )
  outgoing <- data.table::rbindlist(lapply(extracted.txs, function(x) {
    x[[2]]
  })
  )
  rm(extracted.txs)
  saveRDS(list(incoming = incoming, outgoing = outgoing), 
    file = paste0(data.dir, "tx_graph_height_", paste0(range(height.set), collapse = "_to_"), ".rds"), 
    compress = FALSE)
  rm(incoming)
  rm(outgoing)
 }
--- a/CashFusion-Descendant-Analysis/R/get-coinbases.R
+++ b/CashFusion-Descendant-Analysis/R/get-coinbases.R
@ -0,0 +1,127 @@
 # install.packages("rbch")
 # install.packages("data.table")
 # install.packages("future.apply")
 # install.packages("stringr")
 library(rbch)
 library(data.table)
 library(future.apply)
 library(stringr)
 bitcoin.conf.file <- ""
 # Input filepath for your bitcoin.conf file
 data.dir <- ""
 # Input data directory here, with trailing "/"
 bch.config <- rbch::conrpc(bitcoin.conf.file)
 con <- DBI::dbConnect(RSQLite::SQLite(), paste0(data.dir, "tx-graph-node-indices.db"))
 # first.fusion.height <- 646085
 # current.block.height <- rbch::getblockchaininfo(bch.config)@result$blocks
 tx.graph.files <- list.files(data.dir)
 tx.graph.files <- tx.graph.files[grepl("^tx_graph.+rds$", tx.graph.files)]
 first.fusion.height <- min(as.numeric(unlist(stringr::str_extract_all(tx.graph.files, "[0-9]+"))))
 current.block.height <- max(as.numeric(unlist(stringr::str_extract_all(tx.graph.files, "[0-9]+"))))
 heights.to.process <- first.fusion.height:current.block.height
 heights.to.process <- split(heights.to.process, 
  cut(heights.to.process, ceiling(length(heights.to.process)/50)))
 future::plan(future::multiprocess())
 coinbases <- list()
 for (height.set in heights.to.process) {
  extracted.txs <- future.apply::future_lapply(height.set, function(iter.block.height) {
    if (iter.block.height %% 1000 == 0) {
      cat(iter.block.height, base::date(), "\n")
    }
    block.hash <- rbch::getblockhash(bch.config, iter.block.height)
    block.data <- rbch::getblock(bch.config, blockhash = block.hash@result, verbosity = "l2")
    # Argument verbose = 2 gives full transaction data
    # For some reason it doesn't give the fee: 
    # https://docs.bitcoincashnode.org/doc/json-rpc/getrawtransaction.html
    raw.txs.ls <- block.data@result$tx
    coinbase.tx <- raw.txs.ls[[1]]
    value <- vector("numeric", length(coinbase.tx$vout) )
    for (j in seq_along(coinbase.tx$vout)) { 
      value[j] <- coinbase.tx$vout[[j]]$value
    }
    outgoing <- data.table(txid = coinbase.tx$txid, 
      position = seq_along(coinbase.tx$vout), value = value, stringsAsFactors = FALSE)
    list(outgoing)
  })
  print(object.size(extracted.txs), units = "Mb")
  extracted.txs <- unlist(extracted.txs, recursive = FALSE)
  outgoing <- data.table::rbindlist(extracted.txs)
  coinbases[[length(coinbases) + 1]] <- outgoing
  rm(extracted.txs)
  rm(outgoing)
 }
 coinbases <- data.table::rbindlist(coinbases)
 nrow(coinbases)
 coinbases$txid_position <- paste0(coinbases$txid, "-", 
  formatC(coinbases$position, width = 4, format = "f", flag = "0", digits = 0))
 DBI::dbWriteTable(con, "coinbases", coinbases, overwrite = TRUE)
 DBI::dbWriteTable(con, "coinbases_intermediate_1", 
  data.frame(txid_position = character(0), stringsAsFactors = FALSE),
  overwrite = TRUE)
 base::date()
 DBI::dbExecute(con, "INSERT INTO coinbases_intermediate_1 SELECT 
  txid_position FROM
  coinbases EXCEPT 
  SELECT origin FROM edgelist")
 base::date()
 unspent.coinbases <- DBI::dbGetQuery(con, 
  'SELECT * FROM coinbases_intermediate_1')
 unspent.coinbases <- merge(unspent.coinbases, coinbases)
 saveRDS(unspent.coinbases, 
  file = paste0(data.dir, "unspent_coinbases.rds"), 
  compress = FALSE)
--- a/CashFusion-Descendant-Analysis/README.md
+++ b/CashFusion-Descendant-Analysis/README.md
@ -0,0 +1,91 @@
 # CashFusion Descendant Analysis
 ![CashFusion-Red-Team-Logo](https://github.com/Rucknium/CashFusionStats/raw/beta/www/images/logos/CashFusion-Red-Team-logo-1869-by-478.png)
 ## How to reproduce the analysis
 Be advised that the analysis takes several weeks of computing time, upwards of 50 GB of available RAM, and about 400 GB of storage space to execute.
 ### Prerequisites
 The main analysis is done with the R statistical programming language. R itself can be downloaded [here](https://cloud.r-project.org/). [RStudio](https://www.rstudio.com/products/rstudio/download/#download) is a good IDE for R. Install the necessary R packages with:
 ```R
 install.packages(c("rbch","data.table","future.apply","RSQLite","DBI","igraph","stringr","curl"))
 ```
 Linux users may have difficulties installing the required packages due to external dependencies (as they must be compiled from source). Ubuntu users will require ```build-essential```, ```libcurl4-openssl-dev``` and  ```libgmp3-dev```. Please raise an issue here if you encounter any further issues. 
 You must have a Bitcoin Cash (BCH) full node synced with the transaction index enabled with the `-txindex` flag. As of now, the analysis has been tested with the [Bitcoin Unlimited](https://www.bitcoinunlimited.info/) node implementation. 
 It is best to run the following script files successively in separate R sessions for better RAM management.
 ## `extract-tx-graphs.R`
 The [R/extract-tx-graphs.R](R/extract-tx-graphs.R) script file issues JSON-RPC queries to `bitcoind`, the Bitcoin Cash node daemon. Make sure `bitcoind` is running before initiating this script.
 In the R script file you must set `bitcoin.conf.file` to the filepath of your bitcoin.conf file and `data.dir` to the directory where you want files to be stored. Note that the `data.dir` in the R file should be a different directory than the `bitcoind` data dir where the BCH blockchain is stored. Your bitcoin.conf file should contain these lines at a minimum:
 ```
 testnet=0
 rpcuser=<USER>
 rpcpassword=<PASSWORD>
 rpcport=8332
 txindex=1
 rpcallowip=0.0.0.0/0
 rpcbind=localhost
 server=1
 ```
 Input \<USER\> and \<PASSWORD\> of your choice. Perform a quick sanity check to ensure you can access your node via JSON-RPC. The following should return data, and not refuse your connection: (user being the value of rpcuser / pass the value of rpcpass)
 ```
 curl --data-binary '{"jsonrpc":"1.0","id":"curltext","method":"getblockchaininfo","params":[]}' -H 'content-type:text/plain;' http://user:pass@localhost:8332/
 ```
 The script spawns multiple R process threads to accelerate queries to `bitcoind` and will take several hours to execute. In the specified data directory, a set of files named `tx_graph_height_BEGIN _to_END.rds` will be created.
 The R object format of these files is:
 ```
 List of 2
 $ incoming: Classes 'data.table and 'data.frame': N obs. of 3 variables:
  ..$ txid : chr [txid of the transaction]
  ..$ origin.txid : chr [txid of the output that is being spent by the transaction]
  ..$ origin.position : num [the position (of the output being spent) within the output's transaction, indexed from one]
 $ outgoing: Classes 'data.table and 'data.frame': N obs. of 4 variables:
  ..$ txid : chr [txid of the transaction]
  ..$ address : chr [address that the transaction is being spent to]
  ..$ position : int [position of the output being produced by the transaction, indexed from one]
  ..$ value : num [quantity of BCH being spent to each address] 
 ```
 Note that, unlike the underlying blockchain data, the position of outputs is indexed from one, not from zero.
 ## `construct-edgelist.R`
 The [R/construct-edgelist.R](R/construct-edgelist.R) script file produces a SQL database that contains the [edge list](https://en.wikipedia.org/wiki/Edge_list) of the BCH transaction [graph](https://en.wikipedia.org/wiki/Graph_(discrete_mathematics)). Set `data.dir` to the same directory same as you used in `extract-tx-graphs.R`.
 The script assigns an integer index to every output. Converting the transaction ID + output position to integer indixes is necessary so that the transaction graph can be stored in RAM. This script is single-threaded so as to avoid conflicts when writing to the database. It should take a few hours to complete.
 ## `get-coinbases.R`
 The [R/get-coinbases.R](R/get-coinbases.R) script file produces a `.rds` file that contains the coinbase outputs. Coinbases are special vertices in the transaction graph since they have no inputs. Set `data.dir` to the same directory same as you used in `extract-tx-graphs.R`.
 ## `determine-descendants.R`
 The [R/determine-descendants.R](R/determine-descendants.R) script file uses the `igraph` package to determine which outputs in the unspent transaction output (UTXO) set can be traced back to an earlier CashFusion transaction. The dataset produced by the [CashFusionStats](https://github.com/Rucknium/CashFusionStats) repository is used to identify the CashFusion transactions.
 Set `data.dir` as before. These operations are time-consuming and may take weeks. There is an option to interrupt the process and restart it.
 ## `descendant-statistics.R`
 The [R/descendant-statistics.R](R/descendant-statistics.R) script file merges the CashFusion descendants, which has been identified by integer indices, with their transaction ID identifiers. It then calculates a simple total of proportion of the UTXO set that is a CashFusion descendant as well as the value in BCH terms. A `"CashFusion-Descendants.csv` csv file is output with the following columns:
 ```
 destination: An idenifier of an unspect output, in the form of TXID-position
 destination_index: An integer index for the unspent output that was used in the transaction graph analysis
 value: The value, in BCH, of the output
 is_cashfusion_descendant: Takes value of 1 if output is a descendant of a CashFusion transaction and 0 otherwise
 ```
 Once again note that, unlike the underlying blockchain data, the position of outputs is indexed from one, not from zero.
--- a/CashFusion-Descendant-Analysis/graph-illustration/CashFusion-Descendant-Visualization.R
+++ b/CashFusion-Descendant-Analysis/graph-illustration/CashFusion-Descendant-Visualization.R
@ -0,0 +1,42 @@
 # install.packages("igraph")
 library(igraph)
 edgelist <- structure(list(origin = c(1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 
  9L, 10L, 10L, 11L, 12L, 12L, 15L, 16L, 17L, 18L, 19L, 19L, 20L, 
  20L, 20L, 22L, 22L, 25L, 25L, 26L, 27L, 27L, 30L, 30L, 29L, 37L, 
  37L, 39L), destination = c(10L, 10L, 10L, 10L, 22L, 12L, 12L, 
    12L, 13L, 19L, 14L, 15L, 20L, 16L, 17L, 20L, 22L, 36L, 30L, 23L, 
    31L, 25L, 26L, 27L, 21L, 28L, 24L, 32L, 33L, 34L, 35L, 29L, 37L, 
    36L, 38L, 39L, 40L)), class = "data.frame", row.names = c(NA, 
      -37L))
 vertex.colors <- structure(list(name = 1:40, color = c("blue", "purple", "purple", 
  "purple", "blue", "purple", "blue", "blue", "blue", "red", "blue", 
  "red", "green", "orange", "purple", "purple", "purple", "blue", 
  "blue", "purple", "orange", "purple", "green", "orange", "purple", 
  "purple", "purple", "purple", "blue", "blue", "green", "orange", 
  "orange", "orange", "orange", "orange", "blue", "green", "blue", 
  "green")), class = "data.frame", row.names = c(NA, -40L))
 illustrative.graph <- igraph::graph_from_data_frame(edgelist, vertices = vertex.colors)
 V(illustrative.graph)$color <- V(illustrative.graph)$color
 V(illustrative.graph)$label <- NA
 png("CashFusion-Descendant-Analysis/graph-illustration/CashFusion-Descendant-Visualization.png",
  width = 480 * 2, height = 480 * 2, type ="cairo")
 plot(illustrative.graph, 
  layout = layout_with_kk, 
  edge.arrow.size = 1, vertex.size = 7, vertex.frame.color = "transparent",
  edge.arrow.width = 0.75, edge.color = "black")
 legend("topleft", 
  legend = c("CashFusion", 
    "Spent CashFusion Descendant", "Spent Non-CashFusion Descendant", 
    "Unspent CashFusion Descendant", "Unspent Non-CashFusion Descendant"),
  fill = c("red", "purple", "blue", "orange", "green"),
  cex = 1.8, bty = "n")
 dev.off()
--- a/CashFusion-Descendant-Analysis/graph-illustration/CashFusion-Descendant-Visualization.png
+++ b/CashFusion-Descendant-Analysis/graph-illustration/CashFusion-Descendant-Visualization.png
--- a/Monero-transaction-inputs-stats/height-2210720-to-2489999.csv
+++ b/Monero-transaction-inputs-stats/height-2210720-to-2489999.csv
@ -0,0 +1,273 @@
 "tx_n_inputs","Freq"
 "1",4475608
 "2",3383838
 "3",161327
 "4",77485
 "5",47019
 "6",34964
 "7",27878
 "8",23544
 "9",20588
 "10",19142
 "11",15951
 "12",13139
 "13",11445
 "14",9955
 "15",9074
 "16",7789
 "17",6797
 "18",5861
 "19",5361
 "20",4792
 "21",4268
 "22",3735
 "23",3375
 "24",3080
 "25",2743
 "26",2482
 "27",2207
 "28",1977
 "29",1764
 "30",1765
 "31",3325
 "32",1302
 "33",1238
 "34",1170
 "35",1113
 "36",966
 "37",890
 "38",872
 "39",753
 "40",901
 "41",702
 "42",640
 "43",560
 "44",540
 "45",554
 "46",526
 "47",487
 "48",478
 "49",463
 "50",800
 "51",391
 "52",377
 "53",366
 "54",354
 "55",349
 "56",326
 "57",311
 "58",330
 "59",309
 "60",411
 "61",351
 "62",281
 "63",313
 "64",276
 "65",244
 "66",277
 "67",257
 "68",270
 "69",268
 "70",317
 "71",247
 "72",236
 "73",241
 "74",247
 "75",106
 "76",82
 "77",81
 "78",93
 "79",99
 "80",79
 "81",83
 "82",59
 "83",90
 "84",98
 "85",51
 "86",80
 "87",74
 "88",79
 "89",77
 "90",61
 "91",78
 "92",74
 "93",71
 "94",58
 "95",70
 "96",50
 "97",59
 "98",65
 "99",49
 "100",69
 "101",62
 "102",60
 "103",52
 "104",63
 "105",57
 "106",60
 "107",54
 "108",49
 "109",52
 "110",54
 "111",54
 "112",52
 "113",46
 "114",37
 "115",41
 "116",48
 "117",51
 "118",41
 "119",37
 "120",47
 "121",53
 "122",54
 "123",31
 "124",42
 "125",40
 "126",55
 "127",53
 "128",34
 "129",42
 "130",35
 "131",27
 "132",32
 "133",38
 "134",42
 "135",37
 "136",35
 "137",46
 "138",31
 "139",37
 "140",28
 "141",24
 "142",31
 "143",24
 "144",34
 "145",34
 "146",25
 "147",25
 "148",39
 "149",24
 "150",46
 "151",39
 "152",31
 "153",29
 "154",30
 "155",21
 "156",21
 "157",28
 "158",35
 "159",29
 "160",26
 "161",22
 "162",23
 "163",35
 "164",29
 "165",32
 "166",33
 "167",23
 "168",32
 "169",27
 "170",32
 "171",29
 "172",24
 "173",30
 "174",28
 "175",25
 "176",25
 "177",30
 "178",23
 "179",29
 "180",24
 "181",28
 "182",20
 "183",28
 "184",26
 "185",543
 "186",22
 "187",13
 "188",21
 "189",26
 "190",1494
 "191",27
 "192",33
 "193",1050
 "194",3213
 "195",40
 "196",16
 "197",7
 "198",8
 "199",6
 "200",3
 "201",6
 "202",4
 "203",2
 "204",1
 "205",1
 "206",1
 "207",2
 "208",1
 "209",1
 "210",2
 "212",2
 "213",6
 "214",1
 "216",3
 "217",1
 "218",3
 "219",2
 "220",1
 "221",1
 "223",2
 "224",1
 "225",1
 "226",1
 "227",3
 "228",3
 "229",1
 "230",1
 "231",4
 "232",2
 "233",1
 "235",1
 "237",2
 "238",3
 "239",2
 "240",3
 "241",3
 "242",1
 "243",1
 "244",3
 "245",2
 "247",2
 "248",1
 "249",1
 "250",1
 "251",2
 "252",2
 "253",1
 "254",2
 "255",1
 "259",1
 "261",1
 "267",1
 "277",1
 "308",2
 "322",1
 "360",1
 "393",1
 "407",1
 "457",1
 "466",1
 "479",1
 "580",1
 "618",1
 "685",1
 "698",1
 "827",1
 "854",1
 "944",1
 "973",1
 "1047",1
 "1243",1
 "1245",6
--- a/monero-PR-8047-prevent-duplicate-outs/README.md
+++ b/monero-PR-8047-prevent-duplicate-outs/README.md
@ -0,0 +1 @@
 Code for analyzing the issue raised in [Monero Pull Request #8047](https://github.com/monero-project/monero/pull/8047).
--- a/monero-PR-8047-prevent-duplicate-outs/analysis-monero-PR-8047-prevent-duplicate-outs.R
+++ b/monero-PR-8047-prevent-duplicate-outs/analysis-monero-PR-8047-prevent-duplicate-outs.R
@ -0,0 +1,59 @@
 # install.packages("RPostgreSQL")
 # install.packages("data.table")
 library(RPostgreSQL)
 library(data.table)
 dbDriver("PostgreSQL")
 drv <- dbDriver("PostgreSQL")
 dbname.arg   <- ""
 host.arg     <- ""
 port.arg     <-   # numeric
 user.arg     <- ""
 password.arg <- ""
 con <- dbConnect(drv, dbname = dbname.arg,
                 host = host.arg, port = port.arg,
                 user = user.arg, password = password.arg)
 dbListTables(con)
 xmr.tx <- dbGetQuery(con, "SELECT * FROM tx_input_list")
 setDT(xmr.tx)
 xmr.tx[, unique.tx := paste(vin_amount,  amount_index, sep = "-")]
 xmr.tx.collisions <- xmr.tx[, .(
  collision.index = anyDuplicated(unique.tx),
  n.inputs = uniqueN(vin_index)), 
  by = .(block_height, tx_index)]
 setorder(xmr.tx.collisions, block_height, tx_index)  
 prop.table(table(xmr.tx.collisions$collision.index != 0))
 xmr.tx.collisions[, block.interval := cut(block_height, 100)]
 xmr.tx.collisions[, .(prop.collisions = 100 * mean(collision.index != 0)), by = .(block.interval)]
 xmr.tx.collisions[n.inputs <= 2, .(prop.collisions = 100 * mean(collision.index != 0)), by = .(block.interval)]
 prop.table(table(xmr.tx.collisions$collision.index[xmr.tx.collisions$n.inputs <= 2] != 0))
 xmr.tx.collisions[n.inputs == 2, .(prop.collisions = 100 * mean(collision.index != 0)), by = .(block.interval)]
 prop.table(table(xmr.tx.collisions$collision.index[xmr.tx.collisions$n.inputs == 2] != 0))
 xmr.tx.collisions[n.inputs == 1, .(prop.collisions = 100 * mean(collision.index != 0)), by = .(block.interval)]
 prop.table(table(xmr.tx.collisions$collision.index[xmr.tx.collisions$n.inputs == 1] != 0))
		`@ -0,0 +1 @@`
							`Code for analyzing the issue raised in [Monero Pull Request #8047](https://github.com/monero-project/monero/pull/8047).`