source: trunk/third/perl/lib/Benchmark.pm @ 14545

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1package Benchmark;
2
3=head1 NAME
4
5Benchmark - benchmark running times of Perl code
6
7=head1 SYNOPSIS
8
9    timethis ($count, "code");
10
11    # Use Perl code in strings...
12    timethese($count, {
13        'Name1' => '...code1...',
14        'Name2' => '...code2...',
15    });
16
17    # ... or use subroutine references.
18    timethese($count, {
19        'Name1' => sub { ...code1... },
20        'Name2' => sub { ...code2... },
21    });
22
23    # cmpthese can be used both ways as well
24    cmpthese($count, {
25        'Name1' => '...code1...',
26        'Name2' => '...code2...',
27    });
28
29    cmpthese($count, {
30        'Name1' => sub { ...code1... },
31        'Name2' => sub { ...code2... },
32    });
33
34    # ...or in two stages
35    $results = timethese($count,
36        {
37            'Name1' => sub { ...code1... },
38            'Name2' => sub { ...code2... },
39        },
40        'none'
41    );
42    cmpthese( $results ) ;
43
44    $t = timeit($count, '...other code...')
45    print "$count loops of other code took:",timestr($t),"\n";
46
47    $t = countit($time, '...other code...')
48    $count = $t->iters ;
49    print "$count loops of other code took:",timestr($t),"\n";
50
51=head1 DESCRIPTION
52
53The Benchmark module encapsulates a number of routines to help you
54figure out how long it takes to execute some code.
55
56timethis - run a chunk of code several times
57
58timethese - run several chunks of code several times
59
60cmpthese - print results of timethese as a comparison chart
61
62timeit - run a chunk of code and see how long it goes
63
64countit - see how many times a chunk of code runs in a given time
65
66
67=head2 Methods
68
69=over 10
70
71=item new
72
73Returns the current time.   Example:
74
75    use Benchmark;
76    $t0 = new Benchmark;
77    # ... your code here ...
78    $t1 = new Benchmark;
79    $td = timediff($t1, $t0);
80    print "the code took:",timestr($td),"\n";
81
82=item debug
83
84Enables or disable debugging by setting the C<$Benchmark::Debug> flag:
85
86    debug Benchmark 1;
87    $t = timeit(10, ' 5 ** $Global ');
88    debug Benchmark 0;
89
90=item iters
91
92Returns the number of iterations.
93
94=back
95
96=head2 Standard Exports
97
98The following routines will be exported into your namespace
99if you use the Benchmark module:
100
101=over 10
102
103=item timeit(COUNT, CODE)
104
105Arguments: COUNT is the number of times to run the loop, and CODE is
106the code to run.  CODE may be either a code reference or a string to
107be eval'd; either way it will be run in the caller's package.
108
109Returns: a Benchmark object.
110
111=item timethis ( COUNT, CODE, [ TITLE, [ STYLE ]] )
112
113Time COUNT iterations of CODE. CODE may be a string to eval or a
114code reference; either way the CODE will run in the caller's package.
115Results will be printed to STDOUT as TITLE followed by the times.
116TITLE defaults to "timethis COUNT" if none is provided. STYLE
117determines the format of the output, as described for timestr() below.
118
119The COUNT can be zero or negative: this means the I<minimum number of
120CPU seconds> to run.  A zero signifies the default of 3 seconds.  For
121example to run at least for 10 seconds:
122
123        timethis(-10, $code)
124
125or to run two pieces of code tests for at least 3 seconds:
126
127        timethese(0, { test1 => '...', test2 => '...'})
128
129CPU seconds is, in UNIX terms, the user time plus the system time of
130the process itself, as opposed to the real (wallclock) time and the
131time spent by the child processes.  Less than 0.1 seconds is not
132accepted (-0.01 as the count, for example, will cause a fatal runtime
133exception).
134
135Note that the CPU seconds is the B<minimum> time: CPU scheduling and
136other operating system factors may complicate the attempt so that a
137little bit more time is spent.  The benchmark output will, however,
138also tell the number of C<$code> runs/second, which should be a more
139interesting number than the actually spent seconds.
140
141Returns a Benchmark object.
142
143=item timethese ( COUNT, CODEHASHREF, [ STYLE ] )
144
145The CODEHASHREF is a reference to a hash containing names as keys
146and either a string to eval or a code reference for each value.
147For each (KEY, VALUE) pair in the CODEHASHREF, this routine will
148call
149
150        timethis(COUNT, VALUE, KEY, STYLE)
151
152The routines are called in string comparison order of KEY.
153
154The COUNT can be zero or negative, see timethis().
155
156Returns a hash of Benchmark objects, keyed by name.
157
158=item timediff ( T1, T2 )
159
160Returns the difference between two Benchmark times as a Benchmark
161object suitable for passing to timestr().
162
163=item timestr ( TIMEDIFF, [ STYLE, [ FORMAT ] ] )
164
165Returns a string that formats the times in the TIMEDIFF object in
166the requested STYLE. TIMEDIFF is expected to be a Benchmark object
167similar to that returned by timediff().
168
169STYLE can be any of 'all', 'none', 'noc', 'nop' or 'auto'. 'all' shows
170each of the 5 times available ('wallclock' time, user time, system time,
171user time of children, and system time of children). 'noc' shows all
172except the two children times. 'nop' shows only wallclock and the
173two children times. 'auto' (the default) will act as 'all' unless
174the children times are both zero, in which case it acts as 'noc'.
175'none' prevents output.
176
177FORMAT is the L<printf(3)>-style format specifier (without the
178leading '%') to use to print the times. It defaults to '5.2f'.
179
180=back
181
182=head2 Optional Exports
183
184The following routines will be exported into your namespace
185if you specifically ask that they be imported:
186
187=over 10
188
189=item clearcache ( COUNT )
190
191Clear the cached time for COUNT rounds of the null loop.
192
193=item clearallcache ( )
194
195Clear all cached times.
196
197=item cmpthese ( COUT, CODEHASHREF, [ STYLE ] )
198
199=item cmpthese ( RESULTSHASHREF )
200
201Optionally calls timethese(), then outputs comparison chart.  This
202chart is sorted from slowest to fastest, and shows the percent
203speed difference between each pair of tests.  Can also be passed
204the data structure that timethese() returns:
205
206    $results = timethese( .... );
207    cmpthese( $results );
208
209Returns the data structure returned by timethese() (or passed in).
210
211=item countit(TIME, CODE)
212
213Arguments: TIME is the minimum length of time to run CODE for, and CODE is
214the code to run.  CODE may be either a code reference or a string to
215be eval'd; either way it will be run in the caller's package.
216
217TIME is I<not> negative.  countit() will run the loop many times to
218calculate the speed of CODE before running it for TIME.  The actual
219time run for will usually be greater than TIME due to system clock
220resolution, so it's best to look at the number of iterations divided
221by the times that you are concerned with, not just the iterations.
222
223Returns: a Benchmark object.
224
225=item disablecache ( )
226
227Disable caching of timings for the null loop. This will force Benchmark
228to recalculate these timings for each new piece of code timed.
229
230=item enablecache ( )
231
232Enable caching of timings for the null loop. The time taken for COUNT
233rounds of the null loop will be calculated only once for each
234different COUNT used.
235
236=item timesum ( T1, T2 )
237
238Returns the sum of two Benchmark times as a Benchmark object suitable
239for passing to timestr().
240
241=back
242
243=head1 NOTES
244
245The data is stored as a list of values from the time and times
246functions:
247
248      ($real, $user, $system, $children_user, $children_system, $iters)
249
250in seconds for the whole loop (not divided by the number of rounds).
251
252The timing is done using time(3) and times(3).
253
254Code is executed in the caller's package.
255
256The time of the null loop (a loop with the same
257number of rounds but empty loop body) is subtracted
258from the time of the real loop.
259
260The null loop times can be cached, the key being the
261number of rounds. The caching can be controlled using
262calls like these:
263
264    clearcache($key);
265    clearallcache();
266
267    disablecache();
268    enablecache();
269
270Caching is off by default, as it can (usually slightly) decrease
271accuracy and does not usually noticably affect runtimes.
272
273=head1 EXAMPLES
274
275For example,
276
277   use Benchmark;$x=3;cmpthese(-5,{a=>sub{$x*$x},b=>sub{$x**2}})
278
279outputs something like this:
280
281   Benchmark: running a, b, each for at least 5 CPU seconds...
282            a: 10 wallclock secs ( 5.14 usr +  0.13 sys =  5.27 CPU) @ 3835055.60/s (n=20210743)
283            b:  5 wallclock secs ( 5.41 usr +  0.00 sys =  5.41 CPU) @ 1574944.92/s (n=8520452)
284          Rate    b    a
285   b 1574945/s   -- -59%
286   a 3835056/s 144%   --
287
288while
289
290   use Benchmark;
291   $x=3;
292   $r=timethese(-5,{a=>sub{$x*$x},b=>sub{$x**2}},'none');
293   cmpthese($r);
294
295outputs something like this:
296
297          Rate    b    a
298   b 1559428/s   -- -62%
299   a 4152037/s 166%   --
300
301
302=head1 INHERITANCE
303
304Benchmark inherits from no other class, except of course
305for Exporter.
306
307=head1 CAVEATS
308
309Comparing eval'd strings with code references will give you
310inaccurate results: a code reference will show a slightly slower
311execution time than the equivalent eval'd string.
312
313The real time timing is done using time(2) and
314the granularity is therefore only one second.
315
316Short tests may produce negative figures because perl
317can appear to take longer to execute the empty loop
318than a short test; try:
319
320    timethis(100,'1');
321
322The system time of the null loop might be slightly
323more than the system time of the loop with the actual
324code and therefore the difference might end up being E<lt> 0.
325
326=head1 SEE ALSO
327
328L<Devel::DProf> - a Perl code profiler
329
330=head1 AUTHORS
331
332Jarkko Hietaniemi <F<jhi@iki.fi>>, Tim Bunce <F<Tim.Bunce@ig.co.uk>>
333
334=head1 MODIFICATION HISTORY
335
336September 8th, 1994; by Tim Bunce.
337
338March 28th, 1997; by Hugo van der Sanden: added support for code
339references and the already documented 'debug' method; revamped
340documentation.
341
342April 04-07th, 1997: by Jarkko Hietaniemi, added the run-for-some-time
343functionality.
344
345September, 1999; by Barrie Slaymaker: math fixes and accuracy and
346efficiency tweaks.  Added cmpthese().  A result is now returned from
347timethese().  Exposed countit() (was runfor()).
348
349=cut
350
351# evaluate something in a clean lexical environment
352sub _doeval { eval shift }
353
354#
355# put any lexicals at file scope AFTER here
356#
357
358use Carp;
359use Exporter;
360@ISA=(Exporter);
361@EXPORT=qw(timeit timethis timethese timediff timestr);
362@EXPORT_OK=qw(timesum cmpthese countit
363              clearcache clearallcache disablecache enablecache);
364
365$VERSION = 1.00;
366
367&init;
368
369sub init {
370    $debug = 0;
371    $min_count = 4;
372    $min_cpu   = 0.4;
373    $defaultfmt = '5.2f';
374    $defaultstyle = 'auto';
375    # The cache can cause a slight loss of sys time accuracy. If a
376    # user does many tests (>10) with *very* large counts (>10000)
377    # or works on a very slow machine the cache may be useful.
378    &disablecache;
379    &clearallcache;
380}
381
382sub debug { $debug = ($_[1] != 0); }
383
384# The cache needs two branches: 's' for strings and 'c' for code.  The
385# emtpy loop is different in these two cases.
386sub clearcache    { delete $cache{"$_[0]c"}; delete $cache{"$_[0]s"}; }
387sub clearallcache { %cache = (); }
388sub enablecache   { $cache = 1; }
389sub disablecache  { $cache = 0; }
390
391# --- Functions to process the 'time' data type
392
393sub new { my @t = (time, times, @_ == 2 ? $_[1] : 0);
394          print "new=@t\n" if $debug;
395          bless \@t; }
396
397sub cpu_p { my($r,$pu,$ps,$cu,$cs) = @{$_[0]}; $pu+$ps         ; }
398sub cpu_c { my($r,$pu,$ps,$cu,$cs) = @{$_[0]};         $cu+$cs ; }
399sub cpu_a { my($r,$pu,$ps,$cu,$cs) = @{$_[0]}; $pu+$ps+$cu+$cs ; }
400sub real  { my($r,$pu,$ps,$cu,$cs) = @{$_[0]}; $r              ; }
401sub iters { $_[0]->[5] ; }
402
403sub timediff {
404    my($a, $b) = @_;
405    my @r;
406    for (my $i=0; $i < @$a; ++$i) {
407        push(@r, $a->[$i] - $b->[$i]);
408    }
409    bless \@r;
410}
411
412sub timesum {
413     my($a, $b) = @_;
414     my @r;
415     for (my $i=0; $i < @$a; ++$i) {
416        push(@r, $a->[$i] + $b->[$i]);
417     }
418     bless \@r;
419}
420
421sub timestr {
422    my($tr, $style, $f) = @_;
423    my @t = @$tr;
424    warn "bad time value (@t)" unless @t==6;
425    my($r, $pu, $ps, $cu, $cs, $n) = @t;
426    my($pt, $ct, $tt) = ($tr->cpu_p, $tr->cpu_c, $tr->cpu_a);
427    $f = $defaultfmt unless defined $f;
428    # format a time in the required style, other formats may be added here
429    $style ||= $defaultstyle;
430    $style = ($ct>0) ? 'all' : 'noc' if $style eq 'auto';
431    my $s = "@t $style"; # default for unknown style
432    $s=sprintf("%2d wallclock secs (%$f usr %$f sys + %$f cusr %$f csys = %$f CPU)",
433                            $r,$pu,$ps,$cu,$cs,$tt) if $style eq 'all';
434    $s=sprintf("%2d wallclock secs (%$f usr + %$f sys = %$f CPU)",
435                            $r,$pu,$ps,$pt) if $style eq 'noc';
436    $s=sprintf("%2d wallclock secs (%$f cusr + %$f csys = %$f CPU)",
437                            $r,$cu,$cs,$ct) if $style eq 'nop';
438    $s .= sprintf(" @ %$f/s (n=$n)", $n / ( $pu + $ps )) if $n && $pu+$ps;
439    $s;
440}
441
442sub timedebug {
443    my($msg, $t) = @_;
444    print STDERR "$msg",timestr($t),"\n" if $debug;
445}
446
447# --- Functions implementing low-level support for timing loops
448
449sub runloop {
450    my($n, $c) = @_;
451
452    $n+=0; # force numeric now, so garbage won't creep into the eval
453    croak "negative loopcount $n" if $n<0;
454    confess "Usage: runloop(number, [string | coderef])" unless defined $c;
455    my($t0, $t1, $td); # before, after, difference
456
457    # find package of caller so we can execute code there
458    my($curpack) = caller(0);
459    my($i, $pack)= 0;
460    while (($pack) = caller(++$i)) {
461        last if $pack ne $curpack;
462    }
463
464    my ($subcode, $subref);
465    if (ref $c eq 'CODE') {
466        $subcode = "sub { for (1 .. $n) { local \$_; package $pack; &\$c; } }";
467        $subref  = eval $subcode;
468    }
469    else {
470        $subcode = "sub { for (1 .. $n) { local \$_; package $pack; $c;} }";
471        $subref  = _doeval($subcode);
472    }
473    croak "runloop unable to compile '$c': $@\ncode: $subcode\n" if $@;
474    print STDERR "runloop $n '$subcode'\n" if $debug;
475
476    # Wait for the user timer to tick.  This makes the error range more like
477    # -0.01, +0.  If we don't wait, then it's more like -0.01, +0.01.  This
478    # may not seem important, but it significantly reduces the chances of
479    # getting a too low initial $n in the initial, 'find the minimum' loop
480    # in &countit.  This, in turn, can reduce the number of calls to
481    # &runloop a lot, and thus reduce additive errors.
482    my $tbase = Benchmark->new(0)->[1];
483    while ( ( $t0 = Benchmark->new(0) )->[1] == $tbase ) {} ;
484    &$subref;
485    $t1 = Benchmark->new($n);
486    $td = &timediff($t1, $t0);
487    timedebug("runloop:",$td);
488    $td;
489}
490
491
492sub timeit {
493    my($n, $code) = @_;
494    my($wn, $wc, $wd);
495
496    printf STDERR "timeit $n $code\n" if $debug;
497    my $cache_key = $n . ( ref( $code ) ? 'c' : 's' );
498    if ($cache && exists $cache{$cache_key} ) {
499        $wn = $cache{$cache_key};
500    } else {
501        $wn = &runloop($n, ref( $code ) ? sub { undef } : '' );
502        # Can't let our baseline have any iterations, or they get subtracted
503        # out of the result.
504        $wn->[5] = 0;
505        $cache{$cache_key} = $wn;
506    }
507
508    $wc = &runloop($n, $code);
509
510    $wd = timediff($wc, $wn);
511    timedebug("timeit: ",$wc);
512    timedebug("      - ",$wn);
513    timedebug("      = ",$wd);
514
515    $wd;
516}
517
518
519my $default_for = 3;
520my $min_for     = 0.1;
521
522
523sub countit {
524    my ( $tmax, $code ) = @_;
525
526    if ( not defined $tmax or $tmax == 0 ) {
527        $tmax = $default_for;
528    } elsif ( $tmax < 0 ) {
529        $tmax = -$tmax;
530    }
531
532    die "countit($tmax, ...): timelimit cannot be less than $min_for.\n"
533        if $tmax < $min_for;
534
535    my ($n, $tc);
536
537    # First find the minimum $n that gives a significant timing.
538    for ($n = 1; ; $n *= 2 ) {
539        my $td = timeit($n, $code);
540        $tc = $td->[1] + $td->[2];
541        last if $tc > 0.1;
542    }
543
544    my $nmin = $n;
545
546    # Get $n high enough that we can guess the final $n with some accuracy.
547    my $tpra = 0.1 * $tmax; # Target/time practice.
548    while ( $tc < $tpra ) {
549        # The 5% fudge is to keep us from iterating again all
550        # that often (this speeds overall responsiveness when $tmax is big
551        # and we guess a little low).  This does not noticably affect
552        # accuracy since we're not couting these times.
553        $n = int( $tpra * 1.05 * $n / $tc ); # Linear approximation.
554        my $td = timeit($n, $code);
555        $tc = $td->[1] + $td->[2];
556    }
557
558    # Now, do the 'for real' timing(s), repeating until we exceed
559    # the max.
560    my $ntot  = 0;
561    my $rtot  = 0;
562    my $utot  = 0.0;
563    my $stot  = 0.0;
564    my $cutot = 0.0;
565    my $cstot = 0.0;
566    my $ttot  = 0.0;
567
568    # The 5% fudge is because $n is often a few % low even for routines
569    # with stable times and avoiding extra timeit()s is nice for
570    # accuracy's sake.
571    $n = int( $n * ( 1.05 * $tmax / $tc ) );
572
573    while () {
574        my $td = timeit($n, $code);
575        $ntot  += $n;
576        $rtot  += $td->[0];
577        $utot  += $td->[1];
578        $stot  += $td->[2];
579        $cutot += $td->[3];
580        $cstot += $td->[4];
581        $ttot = $utot + $stot;
582        last if $ttot >= $tmax;
583
584        my $r = $tmax / $ttot - 1; # Linear approximation.
585        $n = int( $r * $ntot );
586        $n = $nmin if $n < $nmin;
587    }
588
589    return bless [ $rtot, $utot, $stot, $cutot, $cstot, $ntot ];
590}
591
592# --- Functions implementing high-level time-then-print utilities
593
594sub n_to_for {
595    my $n = shift;
596    return $n == 0 ? $default_for : $n < 0 ? -$n : undef;
597}
598
599sub timethis{
600    my($n, $code, $title, $style) = @_;
601    my($t, $for, $forn);
602
603    if ( $n > 0 ) {
604        croak "non-integer loopcount $n, stopped" if int($n)<$n;
605        $t = timeit($n, $code);
606        $title = "timethis $n" unless defined $title;
607    } else {
608        $fort  = n_to_for( $n );
609        $t     = countit( $fort, $code );
610        $title = "timethis for $fort" unless defined $title;
611        $forn  = $t->[-1];
612    }
613    local $| = 1;
614    $style = "" unless defined $style;
615    printf("%10s: ", $title) unless $style eq 'none';
616    print timestr($t, $style, $defaultfmt),"\n" unless $style eq 'none';
617
618    $n = $forn if defined $forn;
619
620    # A conservative warning to spot very silly tests.
621    # Don't assume that your benchmark is ok simply because
622    # you don't get this warning!
623    print "            (warning: too few iterations for a reliable count)\n"
624        if     $n < $min_count
625            || ($t->real < 1 && $n < 1000)
626            || $t->cpu_a < $min_cpu;
627    $t;
628}
629
630sub timethese{
631    my($n, $alt, $style) = @_;
632    die "usage: timethese(count, { 'Name1'=>'code1', ... }\n"
633                unless ref $alt eq HASH;
634    my @names = sort keys %$alt;
635    $style = "" unless defined $style;
636    print "Benchmark: " unless $style eq 'none';
637    if ( $n > 0 ) {
638        croak "non-integer loopcount $n, stopped" if int($n)<$n;
639        print "timing $n iterations of" unless $style eq 'none';
640    } else {
641        print "running" unless $style eq 'none';
642    }
643    print " ", join(', ',@names) unless $style eq 'none';
644    unless ( $n > 0 ) {
645        my $for = n_to_for( $n );
646        print ", each for at least $for CPU seconds" unless $style eq 'none';
647    }
648    print "...\n" unless $style eq 'none';
649
650    # we could save the results in an array and produce a summary here
651    # sum, min, max, avg etc etc
652    my %results;
653    foreach my $name (@names) {
654        $results{$name} = timethis ($n, $alt -> {$name}, $name, $style);
655    }
656
657    return \%results;
658}
659
660sub cmpthese{
661    my $results = ref $_[0] ? $_[0] : timethese( @_ );
662
663    return $results
664       if defined $_[2] && $_[2] eq 'none';
665
666    # Flatten in to an array of arrays with the name as the first field
667    my @vals = map{ [ $_, @{$results->{$_}} ] } keys %$results;
668
669    for (@vals) {
670        # The epsilon fudge here is to prevent div by 0.  Since clock
671        # resolutions are much larger, it's below the noise floor.
672        my $rate = $_->[6] / ( $_->[2] + $_->[3] + 0.000000000000001 );
673        $_->[7] = $rate;
674    }
675
676    # Sort by rate
677    @vals = sort { $a->[7] <=> $b->[7] } @vals;
678
679    # If more than half of the rates are greater than one...
680    my $display_as_rate = $vals[$#vals>>1]->[7] > 1;
681
682    my @rows;
683    my @col_widths;
684
685    my @top_row = (
686        '',
687        $display_as_rate ? 'Rate' : 's/iter',
688        map { $_->[0] } @vals
689    );
690
691    push @rows, \@top_row;
692    @col_widths = map { length( $_ ) } @top_row;
693
694    # Build the data rows
695    # We leave the last column in even though it never has any data.  Perhaps
696    # it should go away.  Also, perhaps a style for a single column of
697    # percentages might be nice.
698    for my $row_val ( @vals ) {
699        my @row;
700
701        # Column 0 = test name
702        push @row, $row_val->[0];
703        $col_widths[0] = length( $row_val->[0] )
704            if length( $row_val->[0] ) > $col_widths[0];
705
706        # Column 1 = performance
707        my $row_rate = $row_val->[7];
708
709        # We assume that we'll never get a 0 rate.
710        my $a = $display_as_rate ? $row_rate : 1 / $row_rate;
711
712        # Only give a few decimal places before switching to sci. notation,
713        # since the results aren't usually that accurate anyway.
714        my $format =
715           $a >= 100 ?
716               "%0.0f" :
717           $a >= 10 ?
718               "%0.1f" :
719           $a >= 1 ?
720               "%0.2f" :
721           $a >= 0.1 ?
722               "%0.3f" :
723               "%0.2e";
724
725        $format .= "/s"
726            if $display_as_rate;
727        # Using $b here due to optimizing bug in _58 through _61
728        my $b = sprintf( $format, $a );
729        push @row, $b;
730        $col_widths[1] = length( $b )
731            if length( $b ) > $col_widths[1];
732
733        # Columns 2..N = performance ratios
734        my $skip_rest = 0;
735        for ( my $col_num = 0 ; $col_num < @vals ; ++$col_num ) {
736            my $col_val = $vals[$col_num];
737            my $out;
738            if ( $skip_rest ) {
739                $out = '';
740            }
741            elsif ( $col_val->[0] eq $row_val->[0] ) {
742                $out = "--";
743                # $skip_rest = 1;
744            }
745            else {
746                my $col_rate = $col_val->[7];
747                $out = sprintf( "%.0f%%", 100*$row_rate/$col_rate - 100 );
748            }
749            push @row, $out;
750            $col_widths[$col_num+2] = length( $out )
751                if length( $out ) > $col_widths[$col_num+2];
752
753            # A little wierdness to set the first column width properly
754            $col_widths[$col_num+2] = length( $col_val->[0] )
755                if length( $col_val->[0] ) > $col_widths[$col_num+2];
756        }
757        push @rows, \@row;
758    }
759
760    # Equalize column widths in the chart as much as possible without
761    # exceeding 80 characters.  This does not use or affect cols 0 or 1.
762    my @sorted_width_refs =
763       sort { $$a <=> $$b } map { \$_ } @col_widths[2..$#col_widths];
764    my $max_width = ${$sorted_width_refs[-1]};
765
766    my $total = @col_widths - 1 ;
767    for ( @col_widths ) { $total += $_ }
768
769    STRETCHER:
770    while ( $total < 80 ) {
771        my $min_width = ${$sorted_width_refs[0]};
772        last
773           if $min_width == $max_width;
774        for ( @sorted_width_refs ) {
775            last
776                if $$_ > $min_width;
777            ++$$_;
778            ++$total;
779            last STRETCHER
780                if $total >= 80;
781        }
782    }
783
784    # Dump the output
785    my $format = join( ' ', map { "%${_}s" } @col_widths ) . "\n";
786    substr( $format, 1, 0 ) = '-';
787    for ( @rows ) {
788        printf $format, @$_;
789    }
790
791    return $results;
792}
793
794
7951;
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