Created
April 4, 2012 23:24
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Interpreter in Smalla
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/* 8*7 */ | |
val input1: {l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int} = | |
{l:8, op:inj[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit](Times:()), r:-7} | |
in | |
/* 0>10 */ | |
val input2: {l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int} = | |
{l:0, op:inj[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit](Gt:()), r:10} | |
in | |
/* 10+10 */ | |
val input3: {l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int} = | |
{l:10, op:inj[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit](Plus:()), r:10} | |
in | |
/* 10==10 */ | |
val input4: {l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int} = | |
{l:10, op:inj[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit](Eq:()), r:10} | |
in | |
/* 1<10 */ | |
val input5: {l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int} = | |
{l:1, op:inj[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit](Lt:()), r:10} | |
in | |
/* !1 */ | |
val input6: {l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int} = | |
{l:0, op:inj[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit](Not:()), r:1} | |
in | |
/* 0 && 1 */ | |
val input7: {l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int} = | |
{l:0, op:inj[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit](And:()), r:1} | |
in | |
/* 0 || 1 */ | |
val input8: {l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int} = | |
{l:0, op:inj[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit](Or:()), r:1} | |
in | |
/* Converts an Int to Boolean */ | |
def itob(i:Int):Boolean = if (i==0) false else true | |
in | |
/* Recrusively multiplies two positive numbers */ | |
def mult(l:Int):Int=>Int=>Int = | |
(r:Int)=>(a:Int)=> | |
if (r<1) | |
a | |
else | |
mult(l)(r-1)(l+a) | |
in | |
/* Wrapper for mult. Accepts negative or positive */ | |
def multiply(l:Int):Int=>Int = | |
(r:Int)=> | |
if ((l<0) && (r<0)){ | |
mult(-l)(-r)(0) | |
}else{ | |
if (l<0){ | |
-mult(-l)(r)(0) | |
}else{ | |
if (r<0){ | |
-mult(l)(-r)(0) | |
}else{ | |
mult(l)(r)(0) | |
} | |
} | |
} | |
in | |
def eval(e:{l:Int, op:[Plus:Unit, Minus:Unit, Times:Unit, Eq:Unit, Lt:Unit, Gt:Unit, Not:Unit, And:Unit, Or:Unit], r:Int}):[I:Int, B:Boolean, U:Unit] = e.op match[[I:Int, B:Boolean, U:Unit]] { | |
case Plus:nil => inj[I:Int, B:Boolean, U:Unit](I: (e.l+e.r)) | |
case Minus:nil => inj[I:Int, B:Boolean, U:Unit](I: (e.l-e.r)) | |
case Times:nil => inj[I:Int, B:Boolean, U:Unit](I: multiply(e.l)(e.r)) | |
case Eq:nil => inj[I:Int, B:Boolean, U:Unit](B: (e.l==e.r)) | |
case Lt:nil => inj[I:Int, B:Boolean, U:Unit](B: (e.l<e.r)) | |
case Gt:nil => inj[I:Int, B:Boolean, U:Unit](B: (e.r<e.l)) | |
case Not:nil => inj[I:Int, B:Boolean, U:Unit](B: (!itob(e.r))) | |
case And:nil => inj[I:Int, B:Boolean, U:Unit](B: (itob(e.l) && itob(e.r))) | |
case Or:nil => inj[I:Int, B:Boolean, U:Unit](B: (itob(e.r) || itob(e.l))) | |
} | |
in | |
/* Print the union type returned by eval */ | |
def printVal(v:[I:Int, B:Boolean, U:Unit]):Unit = v match[Unit] { | |
case I:i => print(i) | |
case B:b => print(b) | |
case U:u => print(u) | |
} | |
in | |
/* Run tests */ | |
{ | |
printVal(eval(input1)); | |
printVal(eval(input2)); | |
printVal(eval(input3)); | |
printVal(eval(input4)); | |
printVal(eval(input5)); | |
printVal(eval(input6)); | |
printVal(eval(input7)); | |
printVal(eval(input8)) | |
} | |
/************** | |
Expected output: | |
-56 | |
false | |
20 | |
true | |
true | |
false | |
false | |
true | |
Value: | |
() | |
***************/ |
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