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January 4, 2015 07:15
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Wikipedia : Birthday Attack
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#include <cmath> | |
#include <cstdlib> | |
#include <iostream> | |
int main(int argc, char ** argv) { | |
if (argc != 3) { | |
std::cerr << "Usage: " << argv[0] << " probability-exponent bits" << std::endl; | |
return 1; | |
} | |
long probabilityExponent = strtol(argv[1], NULL, 10); | |
double probability = pow(10, probabilityExponent); | |
long bits = strtol(argv[2], NULL, 10); | |
double outputs = pow(2, bits); | |
std::cout << sqrt(2.0 * outputs * -log1p(-probability)) << std::endl; | |
return 0; | |
} |
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#!/usr/bin/perl | |
use 5.18.0; | |
use Tie::File; | |
use Fcntl; | |
use Time::HiRes qw(sleep); | |
use Data::Dumper; | |
use constant PACE_SLOW => 0; | |
use constant PACE_QUICK => 1; | |
use constant DIR_ZERO => 0; | |
use constant DIR_INF => 1; | |
use constant PARAM_PEXP => 0; | |
use constant PARAM_BITS => 1; | |
use constant LINE_PACE => 0; | |
use constant LINE_DIR => 1; | |
use constant MICROSECONDS_SECOND => 1000; | |
my (@input_zero,@input_inf,@input_pace,@input_sequence,@pace,@dir,@sleeptime); | |
my ($it_zero,$it_inf) = (0,0); | |
sub birthday { | |
my ($p_exp,$p_bits,$p_pace) = @_; | |
my @p_args = ($p_exp,$p_bits); | |
open(my $ph, "-|", "./birthday",@p_args) or die("Can't execute birthday."); | |
while(<$ph>) { | |
say $_; | |
} | |
close($ph); | |
sleep($sleeptime[$p_pace]); | |
} | |
sub step { | |
my ($step_seq) = @_; | |
my ($idx,$result); | |
if(scalar(@input_inf) > $it_inf + 1) { | |
given($step_seq) { | |
when(DIR_ZERO) { | |
$result = $input_zero[$it_zero++] | |
} | |
when(DIR_INF) { | |
$result = $input_inf[$it_inf++] | |
} | |
} | |
return $result; | |
} | |
exit 0; | |
} | |
sub lookup { | |
my $fn_input_zero = "./input-birthday-zero.dat"; | |
my $fn_input_inf = "./input-birthday-inf.dat"; | |
my $fn_input_pace = "./input-pace.dat"; | |
my $fn_input_sequence = "./input-sequence-male.dat"; | |
tie(@input_zero, 'Tie::File', $fn_input_zero, mode => O_RDONLY) or die("Can't open $fn_input_zero for reading: $!\n"); | |
tie(@input_inf, 'Tie::File', $fn_input_inf, mode => O_RDONLY) or die("Can't open $fn_input_inf for reading: $!\n"); | |
tie(@input_pace, 'Tie::File', $fn_input_pace, mode => O_RDONLY) or die("Can't open $fn_input_pace for reading: $!\n"); | |
tie(@input_sequence, 'Tie::File', $fn_input_sequence, mode => O_RDONLY) or die("Can't open $fn_input_sequence for reading: $!\n"); | |
@pace = split(',',$input_sequence[LINE_PACE]); | |
@dir = split(',',$input_sequence[LINE_DIR]); | |
@sleeptime = split(',',$input_pace[0]); | |
} | |
sub main { | |
lookup(); | |
my $it_pace = 0; | |
my $it_dir = 0; | |
while(1) { | |
birthday(split(',',step($dir[$it_dir])),$pace[$it_pace]); | |
if($it_pace + 1 < scalar(@pace) && $it_dir + 1 < scalar(@dir)) { | |
$it_pace++; | |
$it_dir++; | |
} else { | |
$it_pace = 0; | |
$it_dir = 0; | |
} | |
} | |
} | |
main(); |
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#!/usr/bin/perl | |
use 5.18.0; | |
use POSIX; | |
use Data::Dumper; | |
my $inf = 9**9**9; | |
sub log1p { | |
eval { log(1.0 + @_[0]); } | |
} | |
sub get_probability_from_exponent { | |
my ($pexp) = @_; | |
POSIX::pow(10,$pexp); | |
} | |
sub get_outputs_from_bits { | |
my ($bits) = @_; | |
POSIX::pow(2,$bits); | |
} | |
sub birthday { | |
my ($pexp,$bits) = @_; | |
my $probability = get_probability_from_exponent($pexp); | |
my $outputs = get_outputs_from_bits($bits); | |
my $natural_logarithm = -log1p(-$probability); | |
my $result = -1; | |
eval { $result = sqrt(2.0 * $outputs * $natural_logarithm); }; | |
return -1 if $@; | |
return $result; | |
} | |
sub gen_bits { | |
my $n = 2; | |
my @factors = 2 .. 11; | |
my @bits; | |
for my $f (@factors) { | |
push @bits, POSIX::pow($n,$f); | |
} | |
@bits; | |
} | |
sub gen_pexps { | |
my @pexps; | |
for my $n (3 .. 1242) { | |
if(0 == $n % 3) { | |
push @pexps,-$n; | |
} | |
} | |
@pexps; | |
} | |
my @pexps = gen_pexps; | |
my @bits = gen_bits; | |
for my $x (@pexps) { | |
for my $b (@bits) { | |
my $n = birthday($x,$b); | |
if($inf eq $n) { | |
say join(',',($x,$b)); | |
} | |
} | |
} |
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#!/usr/bin/perl | |
use 5.18.0; | |
use POSIX; | |
use Data::Dumper; | |
my $inf = 9**9**9; | |
sub log1p { | |
eval { log(1.0 + @_[0]); } | |
} | |
sub get_probability_from_exponent { | |
my ($pexp) = @_; | |
POSIX::pow(10,$pexp); | |
} | |
sub get_outputs_from_bits { | |
my ($bits) = @_; | |
POSIX::pow(2,$bits); | |
} | |
sub birthday { | |
my ($pexp,$bits) = @_; | |
my $probability = get_probability_from_exponent($pexp); | |
my $outputs = get_outputs_from_bits($bits); | |
my $natural_logarithm = -log1p(-$probability); | |
my $result = -1; | |
eval { $result = sqrt(2.0 * $outputs * $natural_logarithm); }; | |
return -1 if $@; | |
return $result; | |
} | |
sub gen_bits { | |
my $n = 2; | |
my @factors = 2 .. 11; | |
my @bits; | |
for my $f (@factors) { | |
push @bits, POSIX::pow($n,$f); | |
} | |
@bits; | |
} | |
sub gen_pexps { | |
my @pexps; | |
for my $n (3 .. 1242) { | |
if(0 == $n % 3) { | |
push @pexps,-$n; | |
} | |
} | |
@pexps; | |
} | |
my @pexps = gen_pexps; | |
my @bits = gen_bits; | |
for my $x (@pexps) { | |
for my $b (@bits) { | |
my $n = birthday($x,$b); | |
if(abs($n) < 0.0000000000001) { | |
say join(',',($x,$b)); | |
} | |
} | |
} |
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