1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
|
#!/usr/bin/perl -w
use Test;
use strict;
my $count;
BEGIN
{
$| = 1;
if ($^O eq 'os390') { print "1..0\n"; exit(0) } # test takes too long there
unshift @INC, '../lib'; # for running manually
my $location = $0; $location =~ s/mbi_rand.t//;
unshift @INC, $location; # to locate the testing files
chdir 't' if -d 't';
$count = 128;
plan tests => $count*4;
}
use Math::BigInt;
my $c = 'Math::BigInt';
my $length = 128;
# If you get a failure here, please re-run the test with the printed seed
# value as input "perl t/mbi_rand.t seed" and send me the output
my $seed = ($#ARGV == 0) ? $ARGV[0] : int(rand(1165537));
print "# seed: $seed\n"; srand($seed);
my ($A,$B,$As,$Bs,$ADB,$AMB,$la,$lb);
my $two = Math::BigInt->new(2);
for (my $i = 0; $i < $count; $i++)
{
# length of A and B
$la = int(rand($length)+1); $lb = int(rand($length)+1);
$As = ''; $Bs = '';
# we create the numbers from "patterns", e.g. get a random number and a
# random count and string them together. This means things like
# "100000999999999999911122222222" are much more likely. If we just strung
# together digits, we would end up with "1272398823211223" etc. It also means
# that we get more frequently equal numbers or other special cases.
while (length($As) < $la) { $As .= int(rand(100)) x int(rand(16)); }
while (length($Bs) < $lb) { $Bs .= int(rand(100)) x int(rand(16)); }
$As =~ s/^0+//; $Bs =~ s/^0+//;
$As = $As || '0'; $Bs = $Bs || '0';
# print "# As $As\n# Bs $Bs\n";
$A = $c->new($As); $B = $c->new($Bs);
# print "# A $A\n# B $B\n";
if ($A->is_zero() || $B->is_zero())
{
for (1..4) { ok (1,1); } next;
}
# check that int(A/B)*B + A % B == A holds for all inputs
# $X = ($A/$B)*$B + 2 * ($A % $B) - ($A % $B);
($ADB,$AMB) = $A->copy()->bdiv($B);
# print "# ($A / $B, $A % $B ) = $ADB $AMB\n";
print "# seed $seed, ". join(' ',Math::BigInt::Calc->_base_len()),"\n".
"# tried $ADB * $B + $two*$AMB - $AMB\n"
unless ok ($ADB*$B+$two*$AMB-$AMB,$As);
print "# seed: $seed, \$ADB * \$B / \$B = ", $ADB * $B / $B, " != $ADB (\$B=$B)\n"
unless ok ($ADB*$B/$B,$ADB);
# swap 'em and try this, too
# $X = ($B/$A)*$A + $B % $A;
($ADB,$AMB) = $B->copy()->bdiv($A);
#print "check: $ADB $AMB";
print "# seed $seed, ". join(' ',Math::BigInt::Calc->_base_len()),"\n".
"# tried $ADB * $A + $two*$AMB - $AMB\n"
unless ok ($ADB*$A+$two*$AMB-$AMB,$Bs);
# print " +$two * $AMB = ",$ADB * $A + $two * $AMB,"\n";
# print " -$AMB = ",$ADB * $A + $two * $AMB - $AMB,"\n";
print "# seed $seed, \$ADB * \$A / \$A = ", $ADB * $A / $A, " != $ADB (\$A=$A)\n"
unless ok ($ADB*$A/$A,$ADB);
}
|
