RosettaCodeData/Task/Universal-Turing-machine/Kotlin/universal-turing-machine.kts
2024-10-16 18:07:41 -07:00

172 lines
4.8 KiB
Kotlin

// version 1.2.10
enum class Dir { LEFT, RIGHT, STAY }
class Rule(
val state1: String,
val symbol1: Char,
val symbol2: Char,
val dir: Dir,
val state2: String
)
class Tape(
var symbol: Char,
var left: Tape? = null,
var right: Tape? = null
)
class Turing(
val states: List<String>,
val finalStates: List<String>,
val symbols: CharArray,
val blank: Char,
var state: String,
tapeInput: CharArray,
rules: List<Rule>
) {
var tape: Tape? = null
val transitions = Array(states.size) { arrayOfNulls<Rule>(symbols.size) }
init {
for (i in 0 until tapeInput.size) {
move(Dir.RIGHT)
tape!!.symbol = tapeInput[i]
}
if (tapeInput.size == 0) move(Dir.RIGHT)
while (tape!!.left != null) tape = tape!!.left
for (i in 0 until rules.size) {
val rule = rules[i]
transitions[stateIndex(rule.state1)][symbolIndex(rule.symbol1)] = rule
}
}
private fun stateIndex(state: String): Int {
val i = states.indexOf(state)
return if (i >= 0) i else 0
}
private fun symbolIndex(symbol: Char): Int {
val i = symbols.indexOf(symbol)
return if (i >= 0) i else 0
}
private fun move(dir: Dir) {
val orig = tape
when (dir) {
Dir.RIGHT -> {
if (orig != null && orig.right != null) {
tape = orig.right
}
else {
tape = Tape(blank)
if (orig != null) {
tape!!.left = orig
orig.right = tape
}
}
}
Dir.LEFT -> {
if (orig != null && orig.left != null) {
tape = orig.left
}
else {
tape = Tape(blank)
if (orig != null) {
tape!!.right = orig
orig.left = tape
}
}
}
Dir.STAY -> {}
}
}
fun printState() {
print("%-10s ".format(state))
var t = tape
while (t!!.left != null ) t = t.left
while (t != null) {
if (t == tape) print("[${t.symbol}]")
else print(" ${t.symbol} ")
t = t.right
}
println()
}
fun run(maxLines: Int = 20) {
var lines = 0
while (true) {
printState()
for (finalState in finalStates) {
if (finalState == state) return
}
if (++lines == maxLines) {
println("(Only the first $maxLines lines displayed)")
return
}
val rule = transitions[stateIndex(state)][symbolIndex(tape!!.symbol)]
tape!!.symbol = rule!!.symbol2
move(rule.dir)
state = rule.state2
}
}
}
fun main(args: Array<String>) {
println("Simple incrementer")
Turing(
states = listOf("q0", "qf"),
finalStates = listOf("qf"),
symbols = charArrayOf('B', '1'),
blank = 'B',
state = "q0",
tapeInput = charArrayOf('1', '1', '1'),
rules = listOf(
Rule("q0", '1', '1', Dir.RIGHT, "q0"),
Rule("q0", 'B', '1', Dir.STAY, "qf")
)
).run()
println("\nThree-state busy beaver")
Turing(
states = listOf("a", "b", "c", "halt"),
finalStates = listOf("halt"),
symbols = charArrayOf('0', '1'),
blank = '0',
state = "a",
tapeInput = charArrayOf(),
rules = listOf(
Rule("a", '0', '1', Dir.RIGHT, "b"),
Rule("a", '1', '1', Dir.LEFT, "c"),
Rule("b", '0', '1', Dir.LEFT, "a"),
Rule("b", '1', '1', Dir.RIGHT, "b"),
Rule("c", '0', '1', Dir.LEFT, "b"),
Rule("c", '1', '1', Dir.STAY, "halt")
)
).run()
println("\nFive-state two-symbol probable busy beaver")
Turing(
states = listOf("A", "B", "C", "D", "E", "H"),
finalStates = listOf("H"),
symbols = charArrayOf('0', '1'),
blank = '0',
state = "A",
tapeInput = charArrayOf(),
rules = listOf(
Rule("A", '0', '1', Dir.RIGHT, "B"),
Rule("A", '1', '1', Dir.LEFT, "C"),
Rule("B", '0', '1', Dir.RIGHT, "C"),
Rule("B", '1', '1', Dir.RIGHT, "B"),
Rule("C", '0', '1', Dir.RIGHT, "D"),
Rule("C", '1', '0', Dir.LEFT, "E"),
Rule("D", '0', '1', Dir.LEFT, "A"),
Rule("D", '1', '1', Dir.LEFT, "D"),
Rule("E", '0', '1', Dir.STAY, "H"),
Rule("E", '1', '0', Dir.LEFT, "A")
)
).run()
}