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Copyright (c) 2022 Rucknium
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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>.

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# 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")

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# 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)

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# 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

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# 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)
}

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# 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)

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# 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.

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# 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()

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273
Monero-transaction-inputs-stats/height-2210720-to-2489999.csv Normal file
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"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
1 tx_n_inputs Freq
2 1 4475608
3 2 3383838
4 3 161327
5 4 77485
6 5 47019
7 6 34964
8 7 27878
9 8 23544
10 9 20588
11 10 19142
12 11 15951
13 12 13139
14 13 11445
15 14 9955
16 15 9074
17 16 7789
18 17 6797
19 18 5861
20 19 5361
21 20 4792
22 21 4268
23 22 3735
24 23 3375
25 24 3080
26 25 2743
27 26 2482
28 27 2207
29 28 1977
30 29 1764
31 30 1765
32 31 3325
33 32 1302
34 33 1238
35 34 1170
36 35 1113
37 36 966
38 37 890
39 38 872
40 39 753
41 40 901
42 41 702
43 42 640
44 43 560
45 44 540
46 45 554
47 46 526
48 47 487
49 48 478
50 49 463
51 50 800
52 51 391
53 52 377
54 53 366
55 54 354
56 55 349
57 56 326
58 57 311
59 58 330
60 59 309
61 60 411
62 61 351
63 62 281
64 63 313
65 64 276
66 65 244
67 66 277
68 67 257
69 68 270
70 69 268
71 70 317
72 71 247
73 72 236
74 73 241
75 74 247
76 75 106
77 76 82
78 77 81
79 78 93
80 79 99
81 80 79
82 81 83
83 82 59
84 83 90
85 84 98
86 85 51
87 86 80
88 87 74
89 88 79
90 89 77
91 90 61
92 91 78
93 92 74
94 93 71
95 94 58
96 95 70
97 96 50
98 97 59
99 98 65
100 99 49
101 100 69
102 101 62
103 102 60
104 103 52
105 104 63
106 105 57
107 106 60
108 107 54
109 108 49
110 109 52
111 110 54
112 111 54
113 112 52
114 113 46
115 114 37
116 115 41
117 116 48
118 117 51
119 118 41
120 119 37
121 120 47
122 121 53
123 122 54
124 123 31
125 124 42
126 125 40
127 126 55
128 127 53
129 128 34
130 129 42
131 130 35
132 131 27
133 132 32
134 133 38
135 134 42
136 135 37
137 136 35
138 137 46
139 138 31
140 139 37
141 140 28
142 141 24
143 142 31
144 143 24
145 144 34
146 145 34
147 146 25
148 147 25
149 148 39
150 149 24
151 150 46
152 151 39
153 152 31
154 153 29
155 154 30
156 155 21
157 156 21
158 157 28
159 158 35
160 159 29
161 160 26
162 161 22
163 162 23
164 163 35
165 164 29
166 165 32
167 166 33
168 167 23
169 168 32
170 169 27
171 170 32
172 171 29
173 172 24
174 173 30
175 174 28
176 175 25
177 176 25
178 177 30
179 178 23
180 179 29
181 180 24
182 181 28
183 182 20
184 183 28
185 184 26
186 185 543
187 186 22
188 187 13
189 188 21
190 189 26
191 190 1494
192 191 27
193 192 33
194 193 1050
195 194 3213
196 195 40
197 196 16
198 197 7
199 198 8
200 199 6
201 200 3
202 201 6
203 202 4
204 203 2
205 204 1
206 205 1
207 206 1
208 207 2
209 208 1
210 209 1
211 210 2
212 212 2
213 213 6
214 214 1
215 216 3
216 217 1
217 218 3
218 219 2
219 220 1
220 221 1
221 223 2
222 224 1
223 225 1
224 226 1
225 227 3
226 228 3
227 229 1
228 230 1
229 231 4
230 232 2
231 233 1
232 235 1
233 237 2
234 238 3
235 239 2
236 240 3
237 241 3
238 242 1
239 243 1
240 244 3
241 245 2
242 247 2
243 248 1
244 249 1
245 250 1
246 251 2
247 252 2
248 253 1
249 254 2
250 255 1
251 259 1
252 261 1
253 267 1
254 277 1
255 308 2
256 322 1
257 360 1
258 393 1
259 407 1
260 457 1
261 466 1
262 479 1
263 580 1
264 618 1
265 685 1
266 698 1
267 827 1
268 854 1
269 944 1
270 973 1
271 1047 1
272 1243 1
273 1245 6

1
monero-PR-8047-prevent-duplicate-outs/README.md Normal file
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Code for analyzing the issue raised in [Monero Pull Request #8047](https://github.com/monero-project/monero/pull/8047).

59
monero-PR-8047-prevent-duplicate-outs/analysis-monero-PR-8047-prevent-duplicate-outs.R Normal file
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# 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))