import lib._
import turing._
import abacus._
import recs._
import comp1._
import comp2._
// Turing machine examples
val TMCopy = TM((WBk, 5), (R, 2), (R, 3), (R, 2), (WOc, 3),
(L, 4), (L, 4), (L, 5), (R, 11), (R, 6),
(R, 7), (WBk, 6), (R, 7), (R, 8), (WOc, 9),
(R, 8), (L, 10), (L, 9), (L, 10), (L, 5),
(L, 0), (R, 12), (WOc, 13), (L, 14), (R, 12),
(R, 12), (L, 15), (WBk, 14), (R, 0), (L, 15))
/*
println("TMCopy: " + (TMCopy.run(Tape(3))))
println("TMfindnth: " + (TMFindnth(3).run(Tape(1,2,3,4,5))))
println("TMMopup: " + (TMMopup(3).run(Tape(1,2,3,4,5))))
println("TMCopyMop: " + ((TMCopy :+ TMMopup(0))))
println("TMCopyMop: " + ((TMCopy :+ TMMopup(1)).run(Tape(3))))
*/
// Abacus machine examples
def Copy(in: Int, out: Int, jump: Int) =
Abacus(Dec(in, jump), Inc(out), Goto(0))
def Plus(m: Int, n: Int, tmp: Int, jump: Int) =
Abacus(Dec(m, 4), Inc(n), Inc(tmp), Goto(0), Dec(tmp, jump), Inc(m), Goto(4))
def Mult(in1: Int, in2: Int, out: Int, tmp: Int, jump: Int) =
Abacus(Dec(in1, jump)) ++ Plus(in2, out, tmp, -1).shift(1, -1).adjust(-1, 0)
def Expo(in1: Int, in2: Int, out: Int, tmp1: Int, tmp2: Int, jump: Int) = {
Abacus(Inc(out), Dec(in1, jump)) ++
Mult(out, in2, tmp2, tmp1, -1).shift(2, -1).adjust(-1, 10) ++
Copy(tmp2, out, -1).shift(10, -1).adjust(-1, 1)
}
println("Copy 3: " + (Copy(0, 1, -1).run(Map(0 -> 3, 1 -> 0))))
println("Plus 3 + 4: " + (Plus(0, 1, 2, -1).run(Map(0 -> 3, 1 -> 4, 2 -> 0))))
println("Mult 3 * 5: " + (Mult(0, 1, 2, 3, -1).run(Map(0 -> 3, 1 -> 5, 2 -> 0, 3 -> 0))))
println("Expo 3 ^ 4: " + (Expo(0, 1, 2, 3, 4, -1).run(Map(0 -> 4, 1 -> 3, 2 -> 0, 3 -> 0, 4 -> 0))))
/*
// Abacus-to-TM translation examples
println("Compiled Copy 3: " + toTM(Copy(0, 1, Int.MaxValue).p).run(Tape(3,0,0)))
println("Compiled Plus 3 + 4: " + toTM(Plus(0, 1, 2, Int.MaxValue).p).run(Tape(3,4,0,0)))
println("Compiled Mult 3 * 5: " + toTM(Mult(0, 1, 2, 3, Int.MaxValue).p).run(Tape(3,5,0,0)))
println("Compiled Expo 3 ^ 4: " + toTM(Expo(0, 1, 2, 3, 4, 10000).p).run(Tape(3,4,0,0,0)))
*/
// Recursive function examples
println("Const 8: " + Const(8).eval(67))
println("Add 3 4: " + Add.eval(3, 4))
println("Mult 3 4: " + recs.Mult.eval(3, 4))
println("Power 2 3: " + Power.eval(2, 3))
println("Fact 5: " + Fact.eval(5))
println("Pred 9: " + Pred.eval(9))
println("Pred 0: " + Pred.eval(0))
println("Minus 6 2: " + Minus.eval(6, 2))
println("Minus 6 8: " + Minus.eval(6, 8))
println("Sign 8: " + Sign.eval(8))
println("Sign 0: " + Sign.eval(0))
println("Not 0: " + Not.eval(0))
println("Not 6: " + Not.eval(6))
println("Eq 4 4: " + Eq.eval(4, 4))
println("Eq 4 6: " + Eq.eval(4, 6))
println("Eq 6 4: " + Eq.eval(6, 4))
println("NotEq 4 4: " + Noteq.eval(4, 4))
println("NotEq 4 6: " + Noteq.eval(4, 6))
println("NotEq 6 4: " + Noteq.eval(6, 4))
println("Conj 0 6: " + Conj.eval(0, 6))
println("Conj 6 4: " + Conj.eval(6, 4))
println("Conj 0 0: " + Conj.eval(0, 0))
println("Disj 0 6: " + Disj.eval(0, 6))
println("Disj 6 4: " + Disj.eval(6, 4))
println("Disj 0 0: " + Disj.eval(0, 0))
println("Imp 6 1: " + Imp.eval(6, 1))
println("Imp 6 4: " + Imp.eval(6, 4))
println("Imp 1 0: " + Imp.eval(1, 0))
println("Ifz 0 1 2:" + Ifz.eval(0, 1, 2))
println("Ifz 1 1 2:" + Ifz.eval(1, 1, 2))
println("If 0 1 2:" + If.eval(0, 1, 2))
println("If 1 1 2:" + If.eval(1, 1, 2))
println("Less 4 4: " + Less.eval(4, 4))
println("Less 4 6: " + Less.eval(4, 6))
println("Less 6 4: " + Less.eval(6, 4))
println("Le 4 4: " + recs.Le.eval(4, 4))
println("Le 4 6: " + recs.Le.eval(4, 6))
println("Le 6 4: " + recs.Le.eval(6, 4))
println("Sigma1 Add 2 3 -> 12: " + Sigma1(Add).eval(2, 3))
println("Accum1 Add 2 3 -> 60: " + Accum1(Add).eval(2,3))
println("Accum1 Mult 2 3 -> 0: " + Accum1(recs.Mult).eval(2,3))
println("Accum1 (Id(2, 1)) 2 3 -> 27: " + Accum1(Id(2, 1)).eval(2,3))
println("Accum2 (Id(3, 1)) 2 3 3 -> 27: " + Accum2(Id(3, 1)).eval(2,3,3))
println("Accum3 (Id(4, 1)) 2 3 3 3 -> 27: " + Accum3(Id(4, 1)).eval(2,3,3,3))
println("All1 Add 2 0 -> 0: " + All1(Add).eval(2,0))
println("All1 Add 2 1 -> 1: " + All1(Add).eval(2,1))
println("All1_less Add 3 0 -> 0: " + All1_less(Add).eval(2,0))
println("All1_less Add 3 1 -> 1: " + All1_less(Add).eval(2,1))
println("All2_less (Id 3 1) 2 3 0 -> 1: " + All2_less(Id(3, 1)).eval(2,3,0))
println("All2_less (Id 3 0) 2 3 0 -> 0: " + All2_less(Id(3, 0)).eval(2,3,0))
println("Ex1 Add 2 0 -> 1: " + Ex1(Add).eval(2,0))
println("Ex2 Id(3,1) 2 1 0 -> 1: " + Ex2(Id(3, 1)).eval(2,1,0))
println("Ex2 Id(3,2) 2 1 0 -> 0: " + Ex2(Id(3, 2)).eval(2,1,0))
println("Quo 6 4 -> 1: " + Quo.eval(6, 4))
println("Quo 13 4 -> 3: " + Quo.eval(13, 4))
println("Triangle 0 - 5: " + (0 until 5).map(Triangle.eval(_)).mkString(","))
println("MaxTriangle 10 -> 4 " + MaxTriangle.eval(10))
println("Penc 1 2 -> 7: " + Penc.eval(1, 2))
println("Pdec1 7 -> 1: " + Pdec1.eval(7))
println("Pdec2 7 -> 2: " + Pdec2.eval(7))
println("Enclen 0 .. 10: " + (0 until 10).map(Enclen.eval(_)))
println("Size of UF -> 140843: " + UF.size)
// compilation of rec to abacus tests
def test_comp2(f: Rec, ns: Int*) = {
val (abc_f, _) = compile_rec(f)
val abc_map = (0 until ns.length).zip(ns).toMap[Int, Int]
//val start = System.nanoTime()
//val res = (abc_f.run(abc_map))(arity)
//val end = System.nanoTime()
//val time = (end - start)/1.0e9
//("Result: " + res + " length: " + abc_f.p.length + " time: " + "%.5f".format(time))
("Length: " + abc_f.p.length)
}
println("S(3) " + test_comp2(S, 3))
println("Const(1) " + test_comp2(Const(1), 0))
println("Const(10) " + test_comp2(Const(10), 0))
println("Add(69, 30) " + test_comp2(Add, 69, 30))
println("Mult(13, 9) " + test_comp2(recs.Mult, 13, 9))
println("Power(3, 4) " + test_comp2(Power, 3, 4))
println("Minus(30, 4) " + test_comp2(Minus, 30, 4))
println("Fact(5) " + test_comp2(Fact, 5))
//println("UF(0) " + test_comp2(UF, 0))
def test_comp1(f: Rec, ns: Int*) = {
val (abc_f, _) = compile_rec(f)
println("Abacus Length: " + abc_f.p.length)
val tm = toTM(abc_f.p) :+ TMMopup(f.arity)
//val start = System.nanoTime()
//val res = tm.run(Tape(ns.toList))
//val end = System.nanoTime()
//val time = (end - start)/1.0e9
//("length: " + tm.p.length + " tape: " + arity + " time: " + "%.5f".format(time) + "\nResult: " + res)
("Length: " + abc_f.p.length + " " + tm.p.length)
}
//println("")
//println("S(3) " + test_comp1(S, 3))
//println("Const(10) " + test_comp1(Const(10), 0))
//println("Add(6, 3) " + test_comp1(Add, 6, 3))
//println("Mult(4, 5) " + test_comp1(recs.Mult, 4, 5))
//println("Fact(4) " + test_comp1(Fact, 4))
println("UF(0) " + test_comp1(UF, 0))