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Diffstat (limited to 't/op/recurse.t')
-rwxr-xr-x | t/op/recurse.t | 90 |
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"; |