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+package Benchmark;
+
+=head1 NAME
+
+Benchmark - benchmark running times of code
+
+timethis - run a chunk of code several times
+
+timethese - run several chunks of code several times
+
+timeit - run a chunk of code and see how long it goes
+
+=head1 SYNOPSIS
+
+ timethis ($count, "code");
+
+ # Use Perl code in strings...
+ timethese($count, {
+ 'Name1' => '...code1...',
+ 'Name2' => '...code2...',
+ });
+
+ # ... or use subroutine references.
+ timethese($count, {
+ 'Name1' => sub { ...code1... },
+ 'Name2' => sub { ...code2... },
+ });
+
+ $t = timeit($count, '...other code...')
+ print "$count loops of other code took:",timestr($t),"\n";
+
+=head1 DESCRIPTION
+
+The Benchmark module encapsulates a number of routines to help you
+figure out how long it takes to execute some code.
+
+=head2 Methods
+
+=over 10
+
+=item new
+
+Returns the current time. Example:
+
+ use Benchmark;
+ $t0 = new Benchmark;
+ # ... your code here ...
+ $t1 = new Benchmark;
+ $td = timediff($t1, $t0);
+ print "the code took:",timestr($td),"\n";
+
+=item debug
+
+Enables or disable debugging by setting the C<$Benchmark::Debug> flag:
+
+ debug Benchmark 1;
+ $t = timeit(10, ' 5 ** $Global ');
+ debug Benchmark 0;
+
+=back
+
+=head2 Standard Exports
+
+The following routines will be exported into your namespace
+if you use the Benchmark module:
+
+=over 10
+
+=item timeit(COUNT, CODE)
+
+Arguments: COUNT is the number of times to run the loop, and CODE is
+the code to run. CODE may be either a code reference or a string to
+be eval'd; either way it will be run in the caller's package.
+
+Returns: a Benchmark object.
+
+=item timethis ( COUNT, CODE, [ TITLE, [ STYLE ]] )
+
+Time COUNT iterations of CODE. CODE may be a string to eval or a
+code reference; either way the CODE will run in the caller's package.
+Results will be printed to STDOUT as TITLE followed by the times.
+TITLE defaults to "timethis COUNT" if none is provided. STYLE
+determines the format of the output, as described for timestr() below.
+
+The COUNT can be zero or negative: this means the I<minimum number of
+CPU seconds> to run. A zero signifies the default of 3 seconds. For
+example to run at least for 10 seconds:
+
+ timethis(-10, $code)
+
+or to run two pieces of code tests for at least 3 seconds:
+
+ timethese(0, { test1 => '...', test2 => '...'})
+
+CPU seconds is, in UNIX terms, the user time plus the system time of
+the process itself, as opposed to the real (wallclock) time and the
+time spent by the child processes. Less than 0.1 seconds is not
+accepted (-0.01 as the count, for example, will cause a fatal runtime
+exception).
+
+Note that the CPU seconds is the B<minimum> time: CPU scheduling and
+other operating system factors may complicate the attempt so that a
+little bit more time is spent. The benchmark output will, however,
+also tell the number of C<$code> runs/second, which should be a more
+interesting number than the actually spent seconds.
+
+Returns a Benchmark object.
+
+=item timethese ( COUNT, CODEHASHREF, [ STYLE ] )
+
+The CODEHASHREF is a reference to a hash containing names as keys
+and either a string to eval or a code reference for each value.
+For each (KEY, VALUE) pair in the CODEHASHREF, this routine will
+call
+
+ timethis(COUNT, VALUE, KEY, STYLE)
+
+The routines are called in string comparison order of KEY.
+
+The COUNT can be zero or negative, see timethis().
+
+=item timediff ( T1, T2 )
+
+Returns the difference between two Benchmark times as a Benchmark
+object suitable for passing to timestr().
+
+=item timestr ( TIMEDIFF, [ STYLE, [ FORMAT ] ] )
+
+Returns a string that formats the times in the TIMEDIFF object in
+the requested STYLE. TIMEDIFF is expected to be a Benchmark object
+similar to that returned by timediff().
+
+STYLE can be any of 'all', 'noc', 'nop' or 'auto'. 'all' shows each
+of the 5 times available ('wallclock' time, user time, system time,
+user time of children, and system time of children). 'noc' shows all
+except the two children times. 'nop' shows only wallclock and the
+two children times. 'auto' (the default) will act as 'all' unless
+the children times are both zero, in which case it acts as 'noc'.
+
+FORMAT is the L<printf(3)>-style format specifier (without the
+leading '%') to use to print the times. It defaults to '5.2f'.
+
+=back
+
+=head2 Optional Exports
+
+The following routines will be exported into your namespace
+if you specifically ask that they be imported:
+
+=over 10
+
+=item clearcache ( COUNT )
+
+Clear the cached time for COUNT rounds of the null loop.
+
+=item clearallcache ( )
+
+Clear all cached times.
+
+=item disablecache ( )
+
+Disable caching of timings for the null loop. This will force Benchmark
+to recalculate these timings for each new piece of code timed.
+
+=item enablecache ( )
+
+Enable caching of timings for the null loop. The time taken for COUNT
+rounds of the null loop will be calculated only once for each
+different COUNT used.
+
+=back
+
+=head1 NOTES
+
+The data is stored as a list of values from the time and times
+functions:
+
+ ($real, $user, $system, $children_user, $children_system)
+
+in seconds for the whole loop (not divided by the number of rounds).
+
+The timing is done using time(3) and times(3).
+
+Code is executed in the caller's package.
+
+The time of the null loop (a loop with the same
+number of rounds but empty loop body) is subtracted
+from the time of the real loop.
+
+The null loop times are cached, the key being the
+number of rounds. The caching can be controlled using
+calls like these:
+
+ clearcache($key);
+ clearallcache();
+
+ disablecache();
+ enablecache();
+
+=head1 INHERITANCE
+
+Benchmark inherits from no other class, except of course
+for Exporter.
+
+=head1 CAVEATS
+
+Comparing eval'd strings with code references will give you
+inaccurate results: a code reference will show a slower
+execution time than the equivalent eval'd string.
+
+The real time timing is done using time(2) and
+the granularity is therefore only one second.
+
+Short tests may produce negative figures because perl
+can appear to take longer to execute the empty loop
+than a short test; try:
+
+ timethis(100,'1');
+
+The system time of the null loop might be slightly
+more than the system time of the loop with the actual
+code and therefore the difference might end up being E<lt> 0.
+
+=head1 AUTHORS
+
+Jarkko Hietaniemi <F<jhi@iki.fi>>, Tim Bunce <F<Tim.Bunce@ig.co.uk>>
+
+=head1 MODIFICATION HISTORY
+
+September 8th, 1994; by Tim Bunce.
+
+March 28th, 1997; by Hugo van der Sanden: added support for code
+references and the already documented 'debug' method; revamped
+documentation.
+
+April 04-07th, 1997: by Jarkko Hietaniemi, added the run-for-some-time
+functionality.
+
+=cut
+
+# evaluate something in a clean lexical environment
+sub _doeval { eval shift }
+
+#
+# put any lexicals at file scope AFTER here
+#
+
+use Carp;
+use Exporter;
+@ISA=(Exporter);
+@EXPORT=qw(timeit timethis timethese timediff timestr);
+@EXPORT_OK=qw(clearcache clearallcache disablecache enablecache);
+
+&init;
+
+sub init {
+ $debug = 0;
+ $min_count = 4;
+ $min_cpu = 0.4;
+ $defaultfmt = '5.2f';
+ $defaultstyle = 'auto';
+ # The cache can cause a slight loss of sys time accuracy. If a
+ # user does many tests (>10) with *very* large counts (>10000)
+ # or works on a very slow machine the cache may be useful.
+ &disablecache;
+ &clearallcache;
+}
+
+sub debug { $debug = ($_[1] != 0); }
+
+sub clearcache { delete $cache{$_[0]}; }
+sub clearallcache { %cache = (); }
+sub enablecache { $cache = 1; }
+sub disablecache { $cache = 0; }
+
+# --- Functions to process the 'time' data type
+
+sub new { my @t = (time, times, @_ == 2 ? $_[1] : 0);
+ print "new=@t\n" if $debug;
+ bless \@t; }
+
+sub cpu_p { my($r,$pu,$ps,$cu,$cs) = @{$_[0]}; $pu+$ps ; }
+sub cpu_c { my($r,$pu,$ps,$cu,$cs) = @{$_[0]}; $cu+$cs ; }
+sub cpu_a { my($r,$pu,$ps,$cu,$cs) = @{$_[0]}; $pu+$ps+$cu+$cs ; }
+sub real { my($r,$pu,$ps,$cu,$cs) = @{$_[0]}; $r ; }
+
+sub timediff {
+ my($a, $b) = @_;
+ my @r;
+ for (my $i=0; $i < @$a; ++$i) {
+ push(@r, $a->[$i] - $b->[$i]);
+ }
+ bless \@r;
+}
+
+sub timestr {
+ my($tr, $style, $f) = @_;
+ my @t = @$tr;
+ warn "bad time value (@t)" unless @t==6;
+ my($r, $pu, $ps, $cu, $cs, $n) = @t;
+ my($pt, $ct, $t) = ($tr->cpu_p, $tr->cpu_c, $tr->cpu_a);
+ $f = $defaultfmt unless defined $f;
+ # format a time in the required style, other formats may be added here
+ $style ||= $defaultstyle;
+ $style = ($ct>0) ? 'all' : 'noc' if $style eq 'auto';
+ my $s = "@t $style"; # default for unknown style
+ $s=sprintf("%2d wallclock secs (%$f usr %$f sys + %$f cusr %$f csys = %$f CPU)",
+ @t,$t) if $style eq 'all';
+ $s=sprintf("%2d wallclock secs (%$f usr + %$f sys = %$f CPU)",
+ $r,$pu,$ps,$pt) if $style eq 'noc';
+ $s=sprintf("%2d wallclock secs (%$f cusr + %$f csys = %$f CPU)",
+ $r,$cu,$cs,$ct) if $style eq 'nop';
+ $s .= sprintf(" @ %$f/s (n=$n)", $n / ( $pu + $ps )) if $n;
+ $s;
+}
+
+sub timedebug {
+ my($msg, $t) = @_;
+ print STDERR "$msg",timestr($t),"\n" if $debug;
+}
+
+# --- Functions implementing low-level support for timing loops
+
+sub runloop {
+ my($n, $c) = @_;
+
+ $n+=0; # force numeric now, so garbage won't creep into the eval
+ croak "negative loopcount $n" if $n<0;
+ confess "Usage: runloop(number, [string | coderef])" unless defined $c;
+ my($t0, $t1, $td); # before, after, difference
+
+ # find package of caller so we can execute code there
+ my($curpack) = caller(0);
+ my($i, $pack)= 0;
+ while (($pack) = caller(++$i)) {
+ last if $pack ne $curpack;
+ }
+
+ my ($subcode, $subref);
+ if (ref $c eq 'CODE') {
+ $subcode = "sub { for (1 .. $n) { local \$_; package $pack; &\$c; } }";
+ $subref = eval $subcode;
+ }
+ else {
+ $subcode = "sub { for (1 .. $n) { local \$_; package $pack; $c;} }";
+ $subref = _doeval($subcode);
+ }
+ croak "runloop unable to compile '$c': $@\ncode: $subcode\n" if $@;
+ print STDERR "runloop $n '$subcode'\n" if $debug;
+
+ $t0 = Benchmark->new(0);
+ &$subref;
+ $t1 = Benchmark->new($n);
+ $td = &timediff($t1, $t0);
+
+ timedebug("runloop:",$td);
+ $td;
+}
+
+
+sub timeit {
+ my($n, $code) = @_;
+ my($wn, $wc, $wd);
+
+ printf STDERR "timeit $n $code\n" if $debug;
+
+ if ($cache && exists $cache{$n}) {
+ $wn = $cache{$n};
+ } else {
+ $wn = &runloop($n, '');
+ $cache{$n} = $wn;
+ }
+
+ $wc = &runloop($n, $code);
+
+ $wd = timediff($wc, $wn);
+
+ timedebug("timeit: ",$wc);
+ timedebug(" - ",$wn);
+ timedebug(" = ",$wd);
+
+ $wd;
+}
+
+
+my $default_for = 3;
+my $min_for = 0.1;
+
+sub runfor {
+ my ($code, $tmax) = @_;
+
+ if ( not defined $tmax or $tmax == 0 ) {
+ $tmax = $default_for;
+ } elsif ( $tmax < 0 ) {
+ $tmax = -$tmax;
+ }
+
+ die "runfor(..., $tmax): timelimit cannot be less than $min_for.\n"
+ if $tmax < $min_for;
+
+ my ($n, $td, $tc, $ntot, $rtot, $utot, $stot, $cutot, $cstot );
+
+ # First find the minimum $n that gives a non-zero timing.
+
+ my $nmin;
+
+ for ($n = 1, $tc = 0; $tc <= 0; $n *= 2 ) {
+ $td = timeit($n, $code);
+ $tc = $td->[1] + $td->[2];
+ }
+
+ $nmin = $n;
+
+ my $ttot = 0;
+ my $tpra = 0.05 * $tmax; # Target/time practice.
+
+ # Double $n until we have think we have practiced enough.
+ for ( $n = 1; $ttot < $tpra; $n *= 2 ) {
+ $td = timeit($n, $code);
+ $tc = $td->cpu_p;
+ $ntot += $n;
+ $rtot += $td->[0];
+ $utot += $td->[1];
+ $stot += $td->[2];
+ $ttot = $utot + $stot;
+ $cutot += $td->[3];
+ $cstot += $td->[4];
+ }
+
+ my $r;
+
+ # Then iterate towards the $tmax.
+ while ( $ttot < $tmax ) {
+ $r = $tmax / $ttot - 1; # Linear approximation.
+ $n = int( $r * $n );
+ $n = $nmin if $n < $nmin;
+ $td = timeit($n, $code);
+ $ntot += $n;
+ $rtot += $td->[0];
+ $utot += $td->[1];
+ $stot += $td->[2];
+ $ttot = $utot + $stot;
+ $cutot += $td->[3];
+ $cstot += $td->[4];
+ }
+
+ return bless [ $rtot, $utot, $stot, $cutot, $cstot, $ntot ];
+}
+
+# --- Functions implementing high-level time-then-print utilities
+
+sub n_to_for {
+ my $n = shift;
+ return $n == 0 ? $default_for : $n < 0 ? -$n : undef;
+}
+
+sub timethis{
+ my($n, $code, $title, $style) = @_;
+ my($t, $for, $forn);
+
+ if ( $n > 0 ) {
+ croak "non-integer loopcount $n, stopped" if int($n)<$n;
+ $t = timeit($n, $code);
+ $title = "timethis $n" unless defined $title;
+ } else {
+ $fort = n_to_for( $n );
+ $t = runfor($code, $fort);
+ $title = "timethis for $fort" unless defined $title;
+ $forn = $t->[-1];
+ }
+ local $| = 1;
+ $style = "" unless defined $style;
+ printf("%10s: ", $title);
+ print timestr($t, $style, $defaultfmt),"\n";
+
+ $n = $forn if defined $forn;
+
+ # A conservative warning to spot very silly tests.
+ # Don't assume that your benchmark is ok simply because
+ # you don't get this warning!
+ print " (warning: too few iterations for a reliable count)\n"
+ if $n < $min_count
+ || ($t->real < 1 && $n < 1000)
+ || $t->cpu_a < $min_cpu;
+ $t;
+}
+
+sub timethese{
+ my($n, $alt, $style) = @_;
+ die "usage: timethese(count, { 'Name1'=>'code1', ... }\n"
+ unless ref $alt eq HASH;
+ my @names = sort keys %$alt;
+ $style = "" unless defined $style;
+ print "Benchmark: ";
+ if ( $n > 0 ) {
+ croak "non-integer loopcount $n, stopped" if int($n)<$n;
+ print "timing $n iterations of";
+ } else {
+ print "running";
+ }
+ print " ", join(', ',@names);
+ unless ( $n > 0 ) {
+ my $for = n_to_for( $n );
+ print ", each for at least $for CPU seconds";
+ }
+ print "...\n";
+
+ # we could save the results in an array and produce a summary here
+ # sum, min, max, avg etc etc
+ foreach my $name (@names) {
+ timethis ($n, $alt -> {$name}, $name, $style);
+ }
+}
+
+1;