bash functions for logging the output of long commands run multiple times

.bashrc_logging

incf () {
    # Construct a filename from PREFIX, "_YYYY-MM-DD",  optionally _N (where N
    # is 1 or greater) if the filename already exists, and optionally SUFFIX.
    # Example: "incf file .tar.gz" results in "file_2021-07-07.tar.gz", or
    # "file_2021-07-07_N.tar.gz" if "file_2021-07-07.tar.gz" already exists,
    # where N is 1 or greater.
    local prefix suffix fileprefix i testname sep1 sep2
    prefix="$1"
    suffix="$2"
    sep1="_"
    sep2="_"
    fileprefix="${prefix}${sep1}$(date +%F)"
    let i=0
    # The zeroth filename doesn't have the number.
    testname="${fileprefix}${suffix}"
    while true
    do
      [ ! -e "$testname" ] && break
      ((i++))
      testname="${fileprefix}${sep2}${i}${suffix}"
    done
    echo "$testname"
}

logf () {
    # Construct a filename, possibly in another directory, that starts with
    # "Log." and ends with "YYYY-MM-DD" and optionally "_N", where N is 1 or
    # greater, if the filename already exists.
    local dn bn fn
    dn="$(dirname "$1")"
    bn="Log.$(basename "$1")"
    fn="$(incf "$dn/$bn")"
    echo $fn
}

log () {
    # tee the input into a log file.
    tee $(logf "$1")
}

cleanname () {
    # Clean up a string so it is (relatively) safe to use as a filename.
    local cmd="$*" name
    name=$(echo "$cmd" | sed 's/[ =";?*&^%$#@!~`|()<>]/-/g' | \
	       sed "s#[/']#-#g" | sed -E 's/--+/-/g' | \
               sed -E 's/(^[-.]+|-+$)//g' | \
               sed -E 's/\.\.\.*/./g')
    echo "$name"
}

exlog () {
    # Execute a shell command and log it to "Log.<cmd-as-safe-filename>"
    local cmd="$*" name="$(cleanname "$@")"
    name="$(logf $name)"
    printf 'Logging to %s\n' "$name"
    (echo "cmd was: $cmd"; time "$@") 2>&1 | tee $name
}