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-rw-r--r--test/files/run/Course-2002-10.check46
-rw-r--r--test/files/run/Course-2002-10.scala132
2 files changed, 178 insertions, 0 deletions
diff --git a/test/files/run/Course-2002-10.check b/test/files/run/Course-2002-10.check
new file mode 100644
index 0000000000..ce8d88170d
--- /dev/null
+++ b/test/files/run/Course-2002-10.check
@@ -0,0 +1,46 @@
+fib(0) = 0
+fib(1) = 1
+fib(2) = 1
+fib(3) = 2
+fib(4) = 3
+fib(5) = 5
+fib(6) = 8
+fib(7) = 13
+fib(8) = 21
+fib(9) = 34
+fib(10) = 55
+fib(11) = 89
+fib(12) = 144
+fib(13) = 233
+fib(14) = 377
+fib(15) = 610
+fib(16) = 987
+fib(17) = 1597
+fib(18) = 2584
+fib(19) = 4181
+
+pi(0) = 4.0 , 3.166666666666667 , 4.0
+pi(1) = 2.666666666666667 , 3.1333333333333337, 3.166666666666667
+pi(2) = 3.466666666666667 , 3.1452380952380956, 3.142105263157895
+pi(3) = 2.8952380952380956, 3.1396825396825396, 3.1415993573190044
+pi(4) = 3.33968253968254 , 3.142712842712843 , 3.141592714033778
+pi(5) = 2.976046176046176 , 3.140881340881341 , 3.1415926539752923
+pi(6) = 3.283738483738484 , 3.142071817071817 , 3.141592653591176
+pi(7) = 3.017071817071817 , 3.1412548236077646, 3.141592653589777
+pi(8) = 3.252365934718876 , 3.1418396189294024, 3.141592653589794
+pi(9) = 3.0418396189294024, 3.141406718496502 , 3.1415926535897936
+pi = 3.141592653589793 , 3.141592653589793 , 3.141592653589793
+
+ln(0) = 1.0 , 0.7 , 1.0
+ln(1) = 0.5 , 0.6904761904761905, 0.7
+ln(2) = 0.8333333333333333, 0.6944444444444444, 0.6932773109243697
+ln(3) = 0.5833333333333333, 0.6924242424242424, 0.6931488693329254
+ln(4) = 0.7833333333333333, 0.6935897435897436, 0.6931471960735491
+ln(5) = 0.6166666666666667, 0.6928571428571428, 0.6931471806635636
+ln(6) = 0.7595238095238095, 0.6933473389355742, 0.6931471805604038
+ln(7) = 0.6345238095238095, 0.6930033416875522, 0.6931471805599444
+ln(8) = 0.7456349206349207, 0.6932539682539682, 0.6931471805599426
+ln(9) = 0.6456349206349206, 0.6930657506744463, 0.6931471805599453
+ln = 0.6931471805599453, 0.6931471805599453, 0.6931471805599453
+
+prime numbers: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541
diff --git a/test/files/run/Course-2002-10.scala b/test/files/run/Course-2002-10.scala
new file mode 100644
index 0000000000..3ec3440e80
--- /dev/null
+++ b/test/files/run/Course-2002-10.scala
@@ -0,0 +1,132 @@
+//############################################################################
+// Programmation IV - 2002 - Week 10
+//############################################################################
+// $Id$
+
+module M0 {
+
+ def addStream (s1: Stream[int], s2: Stream[int]): Stream[int] =
+ Stream.cons(s1.head + s2.head, addStream(s1.tail, s2.tail));
+
+ val fib: Stream[int] =
+ Stream.cons(0, Stream.cons(1, addStream(this.fib, this.fib.tail)));
+
+ def test = {
+ var i = 0;
+ fib.take(20).foreach(n => {System.out.println("fib("+i+") = "+n); i=i+1});
+ System.out.println();
+ }
+}
+
+//############################################################################
+
+module M1 {
+
+ def scale(x: double, s: Stream[double]): Stream[double] =
+ s map (e: double => e*x);
+
+ def partialSums(s: Stream[double]): Stream[double] =
+ Stream.cons(s.head, partialSums(s.tail) map (x => x + s.head));
+
+ def euler(s: Stream[double]): Stream[double] = {
+ val nm1 = s at 0;
+ val n = s at 1;
+ val np1 = s at 2;
+ Stream.cons(np1 - ((np1 - n)*(np1 - n) / (nm1 - 2*n + np1)),euler(s.tail))
+ };
+
+ def better(s: Stream[double], transform: Stream[double] => Stream[double])
+ : Stream[Stream[double]] =
+ Stream.cons(s, better(transform(s), transform));
+
+ def veryGood(s: Stream[double], transform: Stream[double] => Stream[double])
+ : Stream[double] =
+ better(s, transform) map (x => x.head);
+
+ def lnSummands(n: double): Stream[double] =
+ Stream.cons(1.0 / n, lnSummands(n + 1.0) map (x: double => -x));
+
+ var ln0 = partialSums(lnSummands(1.0));
+ var ln1 = euler(ln0);
+ var ln2 = veryGood(ln0, euler);
+
+ def piSummands(n: double): Stream[double] =
+ Stream.cons(1.0 / n, piSummands(n + 2.0) map (x: double => -x));
+
+ var pi0 = scale(4.0, partialSums(piSummands(1.0)));
+ var pi1 = euler(pi0);
+ var pi2 = veryGood(pi0, euler);
+
+ def pad(s: String, n: int): String = if (n == 0) s else pad(s + " ", n - 1);
+ def str(d: double) = { val s = d.toString(); pad(s, 18 - s.length()) };
+
+ def test = {
+ var i = 0;
+ while (i < 10) {
+ System.out.print("pi("+i+") = ");
+ System.out.print(str(pi0.at(i)) + ", ");
+ System.out.print(str(pi1.at(i)) + ", ");
+ System.out.print(str(pi2.at(i)) + "\n");
+ i = i + 1;
+ }
+ System.out.print("pi = ");
+ System.out.print(str(Math.PI) + ", ");
+ System.out.print(str(Math.PI) + ", ");
+ System.out.print(str(Math.PI) + "\n");
+ System.out.println();
+ i = 0;
+ while (i < 10) {
+ System.out.print("ln("+i+") = ");
+ System.out.print(str(ln0.at(i)) + ", ");
+ System.out.print(str(ln1.at(i)) + ", ");
+ System.out.print(str(ln2.at(i)) + "\n");
+ i = i + 1;
+ }
+ System.out.print("ln = ");
+ System.out.print(str(Math.log(2)) + ", ");
+ System.out.print(str(Math.log(2)) + ", ");
+ System.out.print(str(Math.log(2)) + "\n");
+ System.out.println();
+ }
+}
+
+//############################################################################
+
+module M2 {
+
+ class IntIterator(start: int) extends Iterator[int] {
+ var current: int = start;
+ def hasNext = true;
+ def next = { current = current + 1; current - 1 };
+ }
+
+ class PrimeIterator() extends Iterator[int] {
+ var current: Iterator[int] = new IntIterator(2);
+ def hasNext = true;
+ def next = {
+ val p = current.next;
+ current = current filter { x => !((x % p) == 0) };
+ p
+ }
+ }
+
+ def test = {
+ val i = (new PrimeIterator()).take(100);
+ System.out.print("prime numbers:");
+ while (i.hasNext) { System.out.print(" " + i.next); }
+ System.out.println();
+ }
+}
+
+//############################################################################
+
+module Test {
+ def main(args: Array[String]): Unit = {
+ M0.test;
+ M1.test;
+ M2.test;
+ ()
+ }
+}
+
+//############################################################################