循环不等效,您主要是在破坏 bigint 包,它与 for 与 while 本身无关。
while 循环使用符号“$s *= $i”,但 for 循环使用“$s = $s * $i”。
很容易证明它们并不相同。此外,一个循环计数;另一个倒计时。这会影响要相乘的数字有多大。这是二阶效应 - 但并非完全可以忽略。
[更新:修改为仅显示一个版本的代码,时间为亚秒级。有空间认为应该将打印排除在时间计算之外;但这让事情变得更加混乱,所以我没有打扰。我已经修复了以前版本中的错误:循环 4 与循环 3 相同 - 现在不是了。我还改进了输出格式(尽管可以改进亚秒级处理 - 读者练习),并且有更好的“进度报告”。]
在 Mac Mini(Snow Leopard 10.6.2)上的计时结果是:
Count up $s *= $i: 00:00:12.663337
Count up $s = $s * $i: 00:00:20.686111
Count down $s *= $i: 00:00:14.201797
Count down $s = $s * $i: 00:00:23.269874
脚本:
use Time::HiRes qw(gettimeofday);
use strict;
use warnings;
use bigint;
use constant factorial_of => 13000;
sub delta_t
{
my($tag, $t1, $t2) = @_;
my($d) = int($t2 - $t1);
my($f) = ($t2 - $t1) - $d;
my($s) = sprintf("%.6f", $f);
$s =~ s/^0//;
printf "%-25s %02d:%02d:%02d%s\n",
$tag, int($d/3600), int(($d % 3600) / 60), int($d % 60), $s;
}
my $t1 = gettimeofday;
{
my $n = factorial_of;
my $s = 1;
for (my $i = 2; $i <= $n; $i++)
{
$s *= $i;
}
print "$s\n: Loop 1\n";
}
my $t2 = gettimeofday;
delta_t('Count up $s *= $i:', $t1, $t2);
{
my $n = factorial_of;
my $s = 1;
for (my $i = 2; $i <= $n; $i++)
{
$s = $s * $i;
}
print "$s\n: Loop 2\n";
}
my $t3 = gettimeofday;
delta_t('Count up $s *= $i:', $t1, $t2);
delta_t('Count up $s = $s * $i:', $t2, $t3);
{
my $n = factorial_of;
my $s = 1;
for (my $i = $n; $i > 1; $i--)
{
$s *= $i;
}
print "$s\n: Loop 3\n";
}
my $t4 = gettimeofday;
delta_t('Count up $s *= $i:', $t1, $t2);
delta_t('Count up $s = $s * $i:', $t2, $t3);
delta_t('Count down $s *= $i:', $t3, $t4);
{
my $n = factorial_of;
my $s = 1;
for (my $i = $n; $i > 1; $i--)
{
$s = $s * $i;
}
print "$s\n: Loop 4\n";
}
my $t5 = gettimeofday;
delta_t('Count up $s *= $i:', $t1, $t2);
delta_t('Count up $s = $s * $i:', $t2, $t3);
delta_t('Count down $s *= $i:', $t3, $t4);
delta_t('Count down $s = $s * $i:', $t4, $t5);
这是上面代码的一个更紧凑的版本,扩展为测试“while”循环和“for”循环。它还处理大多数时间问题。唯一不理想的(对我来说)是它使用了几个全局变量,我稍微整理了代码参考中的代码,所以它都适合一行而不触发滚动条(无论如何,在我的显示器上)。显然,通过更多的工作,可以将测试包装到一个数组中,以便迭代地完成测试 - 通过数组循环运行对数组中的信息的计时器函数。等等......这是一个 SMOP - 简单的编程问题。 (它打印阶乘的 MD5 哈希,而不是阶乘本身,因为它更容易比较结果等。它确实指出了一些错误,因为我正在重构上面的代码。是的,MD5 不安全 -但我不是为了安全而使用它;只是为了发现无意的变化。)
use Time::HiRes qw(gettimeofday);
use Digest::MD5 qw(md5_hex);
use strict;
use warnings;
use bigint;
use constant factorial_of => 13000;
my ($s, $i);
my $l1 = sub {my($n) = @_; for ($i = 2; $i <= $n; $i++) { $s *= $i; }};
my $l2 = sub {my($n) = @_; for ($i = 2; $i <= $n; $i++) { $s = $s * $i; }};
my $l3 = sub {my($n) = @_; for ($i = $n; $i > 1; $i--) { $s *= $i; }};
my $l4 = sub {my($n) = @_; for ($i = $n; $i > 1; $i--) { $s = $s * $i; }};
my $l5 = sub {my($n) = @_; $i = 2; while ($i <= $n) { $s *= $i; $i++; }};
my $l6 = sub {my($n) = @_; $i = 2; while ($i <= $n) { $s = $s * $i; $i++; }};
my $l7 = sub {my($n) = @_; $i = $n; while ($i > 1) { $s *= $i; $i--; }};
my $l8 = sub {my($n) = @_; $i = $n; while ($i > 1) { $s = $s * $i; $i--; }};
sub timer
{
my($n, $code, $tag) = @_;
my $t1 = gettimeofday;
$s = 1;
&$code(factorial_of);
my $t2 = gettimeofday;
my $md5 = md5_hex($s);
printf "Loop %d: %-33s %09.6f (%s)\n", $n, $tag, $t2 - $t1, $md5;
}
my $count = 1;
timer($count++, $l1, 'for - Count up $s *= $i:');
timer($count++, $l2, 'for - Count up $s = $s * $i:');
timer($count++, $l3, 'for - Count down $s *= $i:');
timer($count++, $l4, 'for - Count down $s = $s * $i:');
timer($count++, $l5, 'while - Count up $s *= $i:');
timer($count++, $l6, 'while - Count up $s = $s * $i:');
timer($count++, $l7, 'while - Count down $s *= $i:');
timer($count++, $l8, 'while - Count down $s = $s * $i:');
示例输出(MD5 校验和压缩以避免换行 - 完整值为 584b3ab832577fd1390970043efc0ec8):
Loop 1: for - Count up $s *= $i: 12.853630 (584b3ab8...3efc0ec8)
Loop 2: for - Count up $s = $s * $i: 20.854735 (584b3ab8...3efc0ec8)
Loop 3: for - Count down $s *= $i: 14.798155 (584b3ab8...3efc0ec8)
Loop 4: for - Count down $s = $s * $i: 23.699913 (584b3ab8...3efc0ec8)
Loop 5: while - Count up $s *= $i: 12.972428 (584b3ab8...3efc0ec8)
Loop 6: while - Count up $s = $s * $i: 21.192956 (584b3ab8...3efc0ec8)
Loop 7: while - Count down $s *= $i: 14.555620 (584b3ab8...3efc0ec8)
Loop 8: while - Count down $s = $s * $i: 23.790795 (584b3ab8...3efc0ec8)
我一直看到 'while' 循环相对于相应的 'for' 循环有一个小的 (