aboutsummaryrefslogblamecommitdiff
path: root/tests/pos/t4579.scala
blob: 8ce657eff6a66f8b36cb1f348734323667cf3b0e (plain) (tree)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518





































































































































































































































































































































































































































































































































                                                                                    
//############################################################################
// Lisp interpreter (revived as an optimizer test.)
//############################################################################

//############################################################################
// Lisp Scanner

class LispTokenizer(s: String) extends Iterator[String] {
  private var i = 0;
  private def isDelimiter(ch: Char) = ch <= ' ' || ch == '(' || ch == ')'
  def hasNext: Boolean = {
    while (i < s.length() && s.charAt(i) <= ' ') i += 1
    i < s.length()
  }
  def next: String =
    if (hasNext) {
      val start = i
      if (isDelimiter(s charAt i)) i += 1
      else
        do i = i + 1
        while (!isDelimiter(s charAt i))
      s.substring(start, i)
    } else sys.error("premature end of string")
}

//############################################################################
// Lisp Interface

trait Lisp {
  type Data

  def string2lisp(s: String): Data
  def lisp2string(s: Data): String

  def evaluate(d: Data): Data
  // !!! def evaluate(s: String): Data = evaluate(string2lisp(s))
  def evaluate(s: String): Data
}

//############################################################################
// Lisp Implementation Using Case Classes

object LispCaseClasses extends Lisp {

  import List.range

  trait Data {
    def elemsToString(): String = toString();
  }
  case class CONS(car: Data, cdr: Data) extends Data {
    override def toString() = "(" + elemsToString() + ")";
    override def elemsToString() = car.toString() + (cdr match {
      case NIL() => ""
      case _     => " " + cdr.elemsToString();
    })
  }
  case class NIL() extends Data { // !!! use case object
    override def toString() = "()";
  }
  case class SYM(name: String) extends Data {
    override def toString() = name;
  }
  case class NUM(x: Int) extends Data {
    override def toString() = x.toString();
  }
  case class STR(x: String) extends Data {
    override def toString() = "\"" + x + "\"";
  }
  case class FUN(f: List[Data] => Data) extends Data {
    override def toString() = "<fn>";
  }

  def list(): Data =
    NIL();
  def list(x0: Data): Data =
    CONS(x0, NIL());
  def list(x0: Data, x1: Data): Data =
    CONS(x0, list(x1));
  def list(x0: Data, x1: Data, x2: Data): Data =
    CONS(x0, list(x1, x2));
  def list(x0: Data, x1: Data, x2: Data, x3: Data): Data =
    CONS(x0, list(x1, x2, x3));
  def list(x0: Data, x1: Data, x2: Data, x3: Data, x4: Data): Data =
    CONS(x0, list(x1, x2, x3, x4));
  def list(x0: Data, x1: Data, x2: Data, x3: Data, x4: Data, x5: Data): Data =
    CONS(x0, list(x1, x2, x3, x4, x5));
  def list(x0: Data, x1: Data, x2: Data, x3: Data, x4: Data, x5: Data,
   x6: Data): Data =
    CONS(x0, list(x1, x2, x3, x4, x5, x6));
  def list(x0: Data, x1: Data, x2: Data, x3: Data, x4: Data, x5: Data,
   x6: Data, x7: Data): Data =
    CONS(x0, list(x1, x2, x3, x4, x5, x6, x7));
  def list(x0: Data, x1: Data, x2: Data, x3: Data, x4: Data, x5: Data,
   x6: Data, x7: Data, x8: Data): Data =
    CONS(x0, list(x1, x2, x3, x4, x5, x6, x7, x8));
  def list(x0: Data, x1: Data, x2: Data, x3: Data, x4: Data, x5: Data,
   x6: Data, x7: Data, x8: Data, x9: Data): Data =
    CONS(x0, list(x1, x2, x3, x4, x5, x6, x7, x8, x9));

  var curexp: Data = null
  var trace: Boolean = false
  var indent: Int = 0

  def lispError[a](msg: String): a =
    sys.error("error: " + msg + "\n" + curexp);

  trait Environment {
    def lookup(n: String): Data;
    def extendRec(name: String, expr: Environment => Data) =
      new Environment {
        def lookup(n: String): Data =
          if (n == name) expr(this) else Environment.this.lookup(n);
      }
    def extend(name: String, v: Data) = extendRec(name, (env1 => v));
  }
  val EmptyEnvironment = new Environment {
    def lookup(n: String): Data = lispError("undefined: " + n);
  }

  def toList(x: Data): List[Data] = x match {
    case NIL() => List()
    case CONS(y, ys) => y :: toList(ys)
    case _ => lispError("malformed list: " + x);
  }

  def toBoolean(x: Data) = x match {
    case NUM(0) => false
    case _ => true
  }

  def normalize(x: Data): Data = x match {
    case CONS(SYM("def"),
           CONS(CONS(SYM(name), args), CONS(body, CONS(expr, NIL())))) =>
      normalize(list(SYM("def"),
        SYM(name), list(SYM("lambda"), args, body), expr))
    case CONS(SYM("cond"), CONS(CONS(SYM("else"), CONS(expr, NIL())),NIL())) =>
      normalize(expr)
    case CONS(SYM("cond"), CONS(CONS(test, CONS(expr, NIL())), rest)) =>
      normalize(list(SYM("if"), test, expr, CONS(SYM("cond"), rest)))
    case CONS(h, t) => CONS(normalize(h), normalize(t))
    case _ => x
  }

  def eval(x: Data, env: Environment): Data = {
    val prevexp = curexp;
    curexp = x;
    if (trace) {
      for (x <- range(1, indent)) Console.print(" ");
      Console.println("===> " + x);
      indent = indent + 1;
    }
    val result = eval1(x, env);
    if (trace) {
      indent = indent - 1;
      for (x <- range(1, indent)) Console.print(" ");
      Console.println("<=== " + result);
    }
    curexp = prevexp;
    result
  }

  def eval1(x: Data, env: Environment): Data = x match {
    case SYM(name) =>
      env lookup name
    case CONS(SYM("def"), CONS(SYM(name), CONS(y, CONS(z, NIL())))) =>
      eval(z, env.extendRec(name, (env1 => eval(y, env1))))
    case CONS(SYM("val"), CONS(SYM(name), CONS(y, CONS(z, NIL())))) =>
      eval(z, env.extend(name, eval(y, env)))
    case CONS(SYM("lambda"), CONS(params, CONS(y, NIL()))) =>
      mkLambda(params, y, env)
    case CONS(SYM("if"), CONS(c, CONS(t, CONS(e, NIL())))) =>
      if (toBoolean(eval(c, env))) eval(t, env) else eval(e, env)
    case CONS(SYM("quote"), CONS(x, NIL())) =>
      x
    case CONS(y, xs) =>
      apply(eval(y, env), toList(xs) map (x => eval(x, env)))
    case NUM(_) => x
    case STR(_) => x
    case FUN(_) => x
    case _ =>
      lispError("illegal term")
    }

  def apply(fn: Data, args: List[Data]): Data = fn match {
    case FUN(f) => f(args);
    case _ => lispError("application of non-function: " + fn);
  }

  def mkLambda(params: Data, expr: Data, env: Environment): Data = {

    def extendEnv(env: Environment,
                  ps: List[String], args: List[Data]): Environment =
      (ps, args) match {
        case (List(), List()) =>
          env
        case (p :: ps1, arg :: args1) =>
          extendEnv(env.extend(p, arg), ps1, args1)
        case _ =>
          lispError("wrong number of arguments")
      }

    val ps: List[String] = toList(params) map {
      case SYM(name) => name
      case _ => sys.error("illegal parameter list");
    }

    FUN(args => eval(expr, extendEnv(env, ps, args)))
  }

  val globalEnv = EmptyEnvironment
    .extend("=", FUN({
      case List(NUM(arg1),NUM(arg2)) => NUM(if (arg1 == arg2) 1 else 0)
      case List(STR(arg1),STR(arg2)) => NUM(if (arg1 == arg2) 1 else 0)}))
    .extend("+", FUN({
      case List(NUM(arg1),NUM(arg2)) => NUM(arg1 + arg2)
      case List(STR(arg1),STR(arg2)) => STR(arg1 + arg2)}))
    .extend("-", FUN({
      case List(NUM(arg1),NUM(arg2)) => NUM(arg1 - arg2)}))
    .extend("*", FUN({
      case List(NUM(arg1),NUM(arg2)) => NUM(arg1 * arg2)}))
    .extend("/", FUN({
      case List(NUM(arg1),NUM(arg2)) => NUM(arg1 / arg2)}))
    .extend("car", FUN({
      case List(CONS(x, xs)) => x}))
    .extend("cdr", FUN({
      case List(CONS(x, xs)) => xs}))
    .extend("null?", FUN({
      case List(NIL()) => NUM(1)
      case _ => NUM(0)}))
    .extend("cons", FUN({
      case List(x, y) => CONS(x, y)}));

  def evaluate(x: Data): Data = eval(normalize(x), globalEnv);
  def evaluate(s: String): Data = evaluate(string2lisp(s));

  def string2lisp(s: String): Data = {
    val it = new LispTokenizer(s);
    def parse(token: String): Data = {
      if (token == "(") parseList
      else if (token == ")") sys.error("unbalanced parentheses")
      else if ('0' <= token.charAt(0) && token.charAt(0) <= '9')
        NUM(token.toInt)
      else if (token.charAt(0) == '\"' && token.charAt(token.length()-1)=='\"')
        STR(token.substring(1,token.length() - 1))
      else SYM(token)
    }
    def parseList: Data = {
      val token = it.next;
      if (token == ")") NIL() else CONS(parse(token), parseList)
    }
    parse(it.next)
  }

  def lisp2string(d: Data): String = d.toString();
}

//############################################################################
// Lisp Implementation Using Any

object LispAny extends Lisp {

  import List._;

  type Data = Any;

  case class Lambda(f: List[Data] => Data);

  var curexp: Data = null;
  var trace: Boolean = false;
  var indent: Int = 0;

  def lispError[a](msg: String): a =
    sys.error("error: " + msg + "\n" + curexp);

  trait Environment {
    def lookup(n: String): Data;
    def extendRec(name: String, expr: Environment => Data) =
      new Environment {
        def lookup(n: String): Data =
          if (n == name) expr(this) else Environment.this.lookup(n);
      }
    def extend(name: String, v: Data) = extendRec(name, (env1 => v));
  }
  val EmptyEnvironment = new Environment {
    def lookup(n: String): Data = lispError("undefined: " + n);
  }

  def asList(x: Data): List[Data] = x match {
    case y: List[_] => y
    case _ => lispError("malformed list: " + x)
  }

  def asInt(x: Data): Int = x match {
    case y: Int => y
    case _ => lispError("not an integer: " + x)
  }

  def asString(x: Data): String = x match {
    case y: String => y
    case _ => lispError("not a string: " + x)
  }

  def asBoolean(x: Data): Boolean = x != 0

  def normalize(x: Data): Data = x match {
    case 'and :: x :: y :: Nil =>
      normalize('if :: x :: y :: 0 :: Nil)
    case 'or :: x :: y :: Nil =>
      normalize('if :: x :: 1 :: y :: Nil)
    case 'def :: (name :: args) :: body :: expr :: Nil =>
      normalize('def :: name :: ('lambda :: args :: body :: Nil) :: expr :: Nil)
    case 'cond :: ('else :: expr :: Nil) :: rest =>
        normalize(expr);
    case 'cond :: (test :: expr :: Nil) :: rest =>
    normalize('if :: test :: expr :: ('cond :: rest) :: Nil)
    case 'cond :: 'else :: expr :: Nil =>
      normalize(expr)
    case h :: t =>
      normalize(h) :: asList(normalize(t))
    case _ =>
      x
  }

  def eval(x: Data, env: Environment): Data = {
    val prevexp = curexp;
    curexp = x;
    if (trace) {
      for (x <- range(1, indent)) Console.print(" ");
      Console.println("===> " + x);
      indent += 1;
    }
    val result = eval1(x, env);
    if (trace) {
      indent -= 1;
      for (x <- range(1, indent)) Console.print(" ");
      Console.println("<=== " + result);
    }
    curexp = prevexp;
    result
  }

  def eval1(x: Data, env: Environment): Data = x match {
    case Symbol(name) =>
      env lookup name
    case 'def :: Symbol(name) :: y :: z :: Nil =>
      eval(z, env.extendRec(name, (env1 => eval(y, env1))))
    case 'val :: Symbol(name) :: y :: z :: Nil =>
      eval(z, env.extend(name, eval(y, env)))
    case 'lambda :: params :: y :: Nil =>
      mkLambda(params, y, env)
    case 'if :: c :: y :: z :: Nil =>
      if (asBoolean(eval(c, env))) eval(y, env) else eval(z, env)
    case 'quote :: y :: Nil =>
      y
    case y :: z =>
      apply(eval(y, env), z map (x => eval(x, env)))
    case Lambda(_) => x
    case y: String => x
    case y: Int => x
    case y => lispError("illegal term")
  }

  def lisp2string(x: Data): String = x match {
    case Symbol(name) => name
    case Nil => "()"
    case y :: ys =>
      def list2string(xs: List[Data]): String = xs match {
        case List() => ""
        case y :: ys => " " + lisp2string(y) + list2string(ys)
      }
      "(" + lisp2string(y) + list2string(ys) + ")"
    case _ => if (x.isInstanceOf[String]) "\"" + x + "\""; else x.toString()
  }

  def apply(fn: Data, args: List[Data]): Data = fn match {
    case Lambda(f) => f(args);
    case _ => lispError("application of non-function: " + fn + " to " + args);
  }

  def mkLambda(params: Data, expr: Data, env: Environment): Data = {

    def extendEnv(env: Environment,
                  ps: List[String], args: List[Data]): Environment =
      (ps, args) match {
        case (List(), List()) =>
          env
        case (p :: ps1, arg :: args1) =>
          extendEnv(env.extend(p, arg), ps1, args1)
        case _ =>
          lispError("wrong number of arguments")
      }

    val ps: List[String] = asList(params) map {
      case Symbol(name) => name
      case _ => sys.error("illegal parameter list");
    }

    Lambda(args => eval(expr, extendEnv(env, ps, args)))
  }

  val globalEnv = EmptyEnvironment
    .extend("=", Lambda{
      case List(arg1, arg2) => if (arg1 == arg2) 1 else 0})
    .extend("+", Lambda{
      case List(arg1: Int, arg2: Int) => arg1 + arg2
      case List(arg1: String, arg2: String) => arg1 + arg2})
    .extend("-", Lambda{
      case List(arg1: Int, arg2: Int) => arg1 - arg2})
    .extend("*", Lambda{
      case List(arg1: Int, arg2: Int) => arg1 * arg2})
    .extend("/", Lambda{
      case List(arg1: Int, arg2: Int) => arg1 / arg2})
    .extend("nil", Nil)
    .extend("cons", Lambda{
      case List(arg1, arg2) => arg1 :: asList(arg2)})
    .extend("car", Lambda{
      case List(x :: xs) => x})
    .extend("cdr", Lambda{
      case List(x :: xs) => xs})
    .extend("null?", Lambda{
      case List(Nil) => 1
      case _ => 0});

  def evaluate(x: Data): Data = eval(normalize(x), globalEnv);
  def evaluate(s: String): Data = evaluate(string2lisp(s));

  def string2lisp(s: String): Data = {
    val it = new LispTokenizer(s);
    def parse(token: String): Data = {
      if (token == "(") parseList
      else if (token == ")") sys.error("unbalanced parentheses")
      //else if (Character.isDigit(token.charAt(0)))
      else if (token.charAt(0).isDigit)
        token.toInt
      else if (token.charAt(0) == '\"' && token.charAt(token.length()-1)=='\"')
        token.substring(1,token.length() - 1)
      else Symbol(token)
    }
    def parseList: List[Data] = {
      val token = it.next;
      if (token == ")") Nil else parse(token) :: parseList
    }
    parse(it.next)
  }
}

//############################################################################
// List User

class LispUser(lisp: Lisp) {

  import lisp._;

  def evaluate(s: String) = lisp2string(lisp.evaluate(s));

  def run = {

    Console.println(string2lisp("(lambda (x) (+ (* x x) 1))").asInstanceOf[AnyRef]);
    Console.println(lisp2string(string2lisp("(lambda (x) (+ (* x x) 1))")));
    Console.println;

    Console.println("(    '(1 2 3)) = " + evaluate("     (quote(1 2 3))"));
    Console.println("(car '(1 2 3)) = " + evaluate("(car (quote(1 2 3)))"));
    Console.println("(cdr '(1 2 3)) = " + evaluate("(cdr (quote(1 2 3)))"));
    Console.println("(null? '(2 3)) = " + evaluate("(null? (quote(2 3)))"));
    Console.println("(null?    '()) = " + evaluate("(null?    (quote()))"));
    Console.println;

    Console.println("faculty(10) = " + evaluate(
      "(def (faculty n) " +
        "(if (= n 0) " +
          "1 " +
          "(* n (faculty (- n 1)))) " +
        "(faculty 10))"));
    Console.println("faculty(10) = " + evaluate(
      "(def (faculty n) " +
        "(cond " +
          "((= n 0) 1) " +
          "(else (* n (faculty (- n 1))))) " +
        "(faculty 10))"));
    Console.println("foobar = " + evaluate(
      "(def (foo n) " +
        "(cond " +
          "((= n 0) \"a\")" +
          "((= n 1) \"b\")" +
          "((= (/ n 2) 1) " +
            "(cond " +
              "((= n 2) \"c\")" +
              "(else    \"d\")))" +
          "(else " +
            "(def (bar m) " +
              "(cond " +
                "((= m 0) \"e\")" +
                "((= m 1) \"f\")" +
                "(else    \"z\"))" +
              "(bar (- n 4)))))" +
        "(val nil (quote ())" +
          "(val v1 (foo 0) " +
            "(val v2 (+ (foo 1) (foo 2)) " +
              "(val v3 (+ (+ (foo 3) (foo 4)) (foo 5)) " +
                "(val v4 (foo 6) " +
                  "(cons v1 (cons v2 (cons v3 (cons v4 nil))))))))))"));
    Console.println;
  }
}

//############################################################################
// Main

object Test {
  def main(args: Array[String]): Unit = {
    new LispUser(LispCaseClasses).run;
    new LispUser(LispAny).run;
    ()
  }
}

//############################################################################