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-rwxr-xr-xt/op/recurse.t90
1 files changed, 90 insertions, 0 deletions
diff --git a/t/op/recurse.t b/t/op/recurse.t
index e69de29bb2..6b21c66106 100755
--- a/t/op/recurse.t
+++ b/t/op/recurse.t
@@ -0,0 +1,90 @@
+#!./perl
+
+#
+# test recursive functions.
+#
+
+print "1..23\n";
+
+sub gcd ($$) {
+ return gcd($_[0] - $_[1], $_[1]) if ($_[0] > $_[1]);
+ return gcd($_[0], $_[1] - $_[0]) if ($_[0] < $_[1]);
+ $_[0];
+}
+
+sub factorial ($) {
+ $_[0] < 2 ? 1 : $_[0] * factorial($_[0] - 1);
+}
+
+sub fibonacci ($) {
+ $_[0] < 2 ? 1 : fibonacci($_[0] - 2) + fibonacci($_[0] - 1);
+}
+
+# Highly recursive, highly aggressive.
+# Kids, don't try this at home.
+# For example ackermann(4,0) will take quite a long time.
+#
+# In fact, the current Perl, 5.004, will complain loudly:
+# "Deep recursion on subroutine." (see perldiag) when
+# computing the ackermann(4,0) because the recursion will
+# become so deep (>100 levels) that Perl suspects the script
+# has been lost in an infinite recursion.
+
+sub ackermann ($$) {
+ return $_[1] + 1 if ($_[0] == 0);
+ return ackermann($_[0] - 1, 1) if ($_[1] == 0);
+ ackermann($_[0] - 1, ackermann($_[0], $_[1] - 1));
+}
+
+# Highly recursive, highly boring.
+
+sub takeuchi ($$$) {
+ $_[1] < $_[0] ?
+ takeuchi(takeuchi($_[0] - 1, $_[1], $_[2]),
+ takeuchi($_[1] - 1, $_[2], $_[0]),
+ takeuchi($_[2] - 1, $_[0], $_[1]))
+ : $_[2];
+}
+
+print 'not ' unless (($d = gcd(1147, 1271)) == 31);
+print "ok 1\n";
+print "# gcd(1147, 1271) = $d\n";
+
+print 'not ' unless (($d = gcd(1908, 2016)) == 36);
+print "ok 2\n";
+print "# gcd(1908, 2016) = $d\n";
+
+print 'not ' unless (($f = factorial(10)) == 3628800);
+print "ok 3\n";
+print "# factorial(10) = $f\n";
+
+print 'not ' unless (($f = factorial(factorial(3))) == 720);
+print "ok 4\n";
+print "# factorial(factorial(3)) = $f\n";
+
+print 'not ' unless (($f = fibonacci(10)) == 89);
+print "ok 5\n";
+print "# fibonacci(10) = $f\n";
+
+print 'not ' unless (($f = fibonacci(fibonacci(7))) == 17711);
+print "ok 6\n";
+print "# fibonacci(fibonacci(7)) = $f\n";
+
+$i = 7;
+
+@ack = qw(1 2 3 4 2 3 4 5 3 5 7 9 5 13 29 61);
+
+for $x (0..3) {
+ for $y (0..3) {
+ $a = ackermann($x, $y);
+ print 'not ' unless ($a == shift(@ack));
+ print "ok ", $i++, "\n";
+ print "# ackermann($x, $y) = $a\n";
+ }
+}
+
+($x, $y, $z) = (18, 12, 6);
+
+print 'not ' unless (($t = takeuchi($x, $y, $z)) == $z + 1);
+print "ok ", $i++, "\n";
+print "# takeuchi($x, $y, $z) = $t\n";