Perl function for negative integers using the 2's complement - perl

I am trying to convert AD maxpwdAge (a 64-bit integer) into a number of days.
According to Microsoft:
Uses the IADs interface's Get method to retrieve the value of the domain's maxPwdAge attribute (line 5).
Notice we use the Set keyword in VBScript to initialize the variable named objMaxPwdAge—the variable used to store the value returned by Get. Why is that?
When you fetch a 64-bit large integer, ADSI does not return one giant scalar value. Instead, ADSI automatically returns an IADsLargeInteger object. You use the IADsLargeInteger interface's HighPart and LowPart properties to calculate the large integer's value. As you may have guessed, HighPart gets the high order 32 bits, and LowPart gets the low order 32 bits. You use the following formula to convert HighPart and LowPart to the large integer's value.
The existing code in VBScript from the same page:
Const ONE_HUNDRED_NANOSECOND = .000000100 ' .000000100 is equal to 10^-7
Const SECONDS_IN_DAY = 86400
Set objDomain = GetObject("LDAP://DC=fabrikam,DC=com") ' LINE 4
Set objMaxPwdAge = objDomain.Get("maxPwdAge") ' LINE 5
If objMaxPwdAge.LowPart = 0 Then
WScript.Echo "The Maximum Password Age is set to 0 in the " & _
"domain. Therefore, the password does not expire."
WScript.Quit
Else
dblMaxPwdNano = Abs(objMaxPwdAge.HighPart * 2^32 + objMaxPwdAge.LowPart)
dblMaxPwdSecs = dblMaxPwdNano * ONE_HUNDRED_NANOSECOND ' LINE 13
dblMaxPwdDays = Int(dblMaxPwdSecs / SECONDS_IN_DAY) ' LINE 14
WScript.Echo "Maximum password age: " & dblMaxPwdDays & " days"
End If
How can I do this in Perl?

Endianness may come into this, but you may be able to say
#!/usr/bin/perl
use strict;
use warnings;
my $num = -37_108_517_437_440;
my $binary = sprintf "%064b", $num;
my ($high, $low) = $binary =~ /(.{32})(.{32})/;
$high = oct "0b$high";
$low = oct "0b$low";
my $together = unpack "q", pack "LL", $low, $high;
print "num $num, low $low, high $high, together $together\n";

Am I missing something? As far as I can tell from your question, your problem has nothing at all to do with 2’s complement. As far as I can tell, all you need/want to do is
use Math::BigInt;
use constant MAXPWDAGE_UNIT_PER_SEC => (
1000 # milliseconds
* 1000 # microseconds
* 10 # 100 nanoseconds
);
use constant SECS_PER_DAY => (
24 # hours
* 60 # minutes
* 60 # seconds
);
my $maxpwdage_full = ( Math::BigInt->new( $maxpwdage_highpart ) << 32 ) + $maxpwdage_lowpart;
my $days = $maxpwdage_full / MAXPWDAGE_UNIT_PER_SEC / SECS_PER_DAY;
Note that I deliberately use 2 separate constants, and I divide by them in sequence, because that keeps the divisors smaller than the range of a 32-bit integer. If you want to write this another way and you want it to work correctly on 32-bit perls, you’ll have to keep all the precision issues in mind.

Related

Incrementing numbers in REXX

I have a requirement where I take a SUBSTR (e.g st_detail = "%BOM0007992739871P", st_digit = SUBSTR(st_detail, 8, 10) ). I have to do some validations on the st_digit and if it is valid change "%BOM0002562186P" to "%BOM0002562186C". My code works fine upto this. But I was asked to increment st_digit (I used st_digit = st_digit + 1 ) and print 100 valid st_digits and append it with C. so I put the code in a loop and display st_detail. But when i ran it i got "%BOM0007.99273987E+9C" after first increment. Please help on how to display "%BOM0007992739872C"? (NOTE: this is a reference only and I can't display the validation logic here and my code works fine. The extra code i added was the code I used here)
out_ctr = 1
DO while out_ctr < 101
/* validations */
IF valid THEN
say st_digit " is valid"
ELSE
say st_digit " is invalid"
st_digit = st_digit + 1
out_ctr = out_ctr + 1
END
It seems the NUMERIC setting was " 9 0 SCIENTIFIC ". I changed it to NUMERIC DIGITS 12, So, now it works.
parse numeric my_numeric_settings
say my_numeric_settings /* 9 0 SCIENTIFIC */
NUMERIC DIGITS 16
parse numeric my_numeric_settings
say my_numeric_settings /* 16 0 SCIENTIFIC */
It's because I used SUBSTR(st_detail, 8, 10),So, st_digit is of length 10, which is greater than the DEFAULT setting of "9 0 SCIENTIFIC", So by changing it to either "NUMERIC DIGITS 10" or "NUMERIC DIGITS 12" the code worked.

How to isolate leftmost bytes in integer

This has to be done in Perl:
I have integers on the order of e.g. 30_146_890_129 and 17_181_116_691 and 21_478_705_663.
These are supposedly made up of 6 bytes, where:
bytes 0-1 : value a
bytes 2-3 : value b
bytes 4-5 : value c
I want to isolate what value a is. How can I do this in Perl?
I've tried using the >> operator:
perl -e '$a = 330971351478 >> 16; print "$a\n";'
5050222
perl -e '$a = 17181116691 >> 16; print "$a\n";'
262163
But these numbers are not on the order of what I am expecting, more like 0-1000.
Bonus if I can also get values b and c but I don't really need those.
Thanks!
number >> 16 returns number shifted by 16 bit and not the shifted bits as you seem to assume. To get the last 16 bit you might for example use number % 2**16 or number & 0xffff. To get to b and c you can just shift before getting the last 16 bits, i.e.
$a = $number & 0xffff;
$b = ($number >> 16) & 0xffff;
$c = ($number >> 32) & 0xffff;
If you have 6 bytes, you don't need to convert them to a number first. You can use one the following depending on the order of the bytes: (Uppercase represents the most significant byte.)
my ($num_c, $num_b, $num_a) = unpack('nnn', "\xCC\xcc\xBB\xbb\xAA\xaa");
my ($num_a, $num_b, $num_c) = unpack('nnn', "\xAA\xaa\xBB\xbb\xAA\xaa");
my ($num_c, $num_b, $num_a) = unpack('vvv', "\xcc\xCC\xbb\xBB\xaa\xAA");
my ($num_a, $num_b, $num_c) = unpack('vvv', "\xaa\xAA\xbb\xBB\xcc\xCC");
If you are indeed provided with a number 0xCCccBBbbAAaa), you can convert it to bytes then extract the numbers you want from it as follows:
my ($num_c, $num_b, $num_a) = unpack('xxnnn', pack('Q>', $num));
Alternatively, you could also use an arithmetic approach like you attempted.
my $num_a = $num & 0xFFFF;
my $num_b = ( $num >> 16 ) & 0xFFFF;
my $num_c = $num >> 32;
While the previous two solutions required a Perl built to use 64-bit integers, the following will work with any build of Perl:
my $num_a = $num % 2**16;
my $num_b = ( $num / 2**16 ) % 2**16;
my $num_c = int( $num / 2**32 );
Let's look at ( $num >> 16 ) & 0xFFFF in detail.
Original number: 0x0000CCccBBbbAAaa
After shifting: 0x00000000CCccBBbb
After masking: 0x000000000000BBbb

How do I determine the maximum range for perl's range iterator?

I can exceed perl's range iteration bounds like so, with or without -Mbigint:
$» perl -E 'say $^V; say for (0..shift)' 1e19
v5.16.2
Range iterator outside integer range at -e line 1.
How can I determine this upper limit, without simply trying until I exceed it?
It's an IV.
>> similarly works on integers, so you can use
my $max_iv = -1 >> 1;
my $min_iv = -(-1 >> 1) - 1;
They can also be derived from the size of an IV.
my $max_iv = (1 << ($iv_bits-1)) - 1;
my $min_iv = -(1 << ($iv_bits-1));
The size of an IV can be obtained using
use Config qw( %Config );
my $iv_bits = 8 * $Config{ivsize};
or
my $iv_bits = 8 * length pack 'j', 0;

Randomly selecting letters by frequency of use

After feeding few Shakespeare books to my Perl script I have a hash with 26 english letters as keys and the number of their occurences in texts - as value:
%freq = (
a => 24645246,
b => 1409459,
....
z => 807451,
);
and of course the total number of all letters - let's say in the $total variable.
Is there please a nice trick to generate a string holding 16 random letters (a letter can occur several times there) - weighted by their frequency of use?
To be used in a word game similar to Ruzzle:
Something elegant - like picking a random line from a file, as suggested by a Perl Cookbook receipt:
rand($.) < 1 && ($line = $_) while <>;
The Perl Cookbook trick for picking a random line (which can also be found in perlfaq5) can be adapted for weighted sampling too:
my $chosen;
my $sum = 0;
foreach my $item (keys %freq) {
$sum += $freq{$item};
$chosen = $item if rand($sum) < $freq{$item};
}
Here, $sum corresponds to the line counter $. and $freq{$item} to the constant 1 in the Cookbook version.
If you're going to be picking a lot of weighted random samples, you can speed this up a bit with some preparation (note that this destroys %freq, so make a copy first if you want to keep it):
# first, scale all frequencies so that the average frequency is 1:
my $avg = 0;
$avg += $_ for values %freq;
$avg /= keys %freq;
$_ /= $avg for values %freq;
# now, prepare the array we'll need for fast weighted sampling:
my #lookup;
while (keys %freq) {
my ($lo, $hi) = (sort {$freq{$a} <=> $freq{$b}} keys %freq)[0, -1];
push #lookup, [$lo, $hi, $freq{$lo} + #lookup];
$freq{$hi} -= (1 - $freq{$lo});
delete $freq{$lo};
}
Now, to draw a random weighted sample from the prepared distribution, you just do this:
my $r = rand #lookup;
my ($lo, $hi, $threshold) = #{$lookup[$r]};
my $chosen = ($r < $threshold ? $lo : $hi);
(This is basically the Square Histogram method described in Marsaglia, Tsang & Wang (2004), "Fast Generation of Discrete Random Variables", J. Stat. Soft. 11(3) and originally due to A.J. Walker (1974).)
I have no clue about Perl syntax so I'll just write pseudo-code. You can do something like that
sum <= 0
foreach (letter in {a, z})
sum <= sum + freq[letter]
pick r, a random integer in [0, sum[
letter <= 'a' - 1
do
letter <= letter + 1
r <= r - freq(letter)
while r > 0
letter is the resulting value
The idea behind this code is to make a stack of boxes for each letter. The size of each box is the frequency of the letter. Then we choose a random location on this stack and see which letter's box we landed.
Example :
freq(a) = 5
freq(b) = 3
freq(c) = 3
sum = 11
| a | b | c |
- - - - - - - - - - -
When we choose a 0 <= r < 11, we have the following probabilities
Pick a 'a' = 5 / 11
Pick a 'b' = 3 / 11
Pick a 'c' = 3 / 11
Which is exactly what we want.
You can first built a table of the running sum of the frequency. So if you have the following data:
%freq = (
a => 15,
b => 25,
c => 30,
d => 20
);
the running sum would be;
%running_sums = (
a => 0,
b => 15,
c => 40, # 15 + 25
d => 70, # 15 + 25 + 30
);
$max_sum = 90; # 15 + 25 + 30 + 20
To pick a single letter with the weighted frequency, you need to select a number between [0,90), then you can do a linear search on the running_sum table for the range that includes the letter. For example, if your random number is 20 then the appropriate range is 15-40, which is for the letter 'b'. Using linear search gives a total running time of O(m*n) where m is the number of letters we need and n is the size of the alphabet (therefore m=16, n=26). This is essentially what #default locale do.
Instead of linear search, you can also do a binary search on the running_sum table to get the closest number rounded down. This gives a total running time of O(m*log(n)).
For picking m letters though, there is a faster way than O(m*log(n)), perticularly if n < m. First you generate m random numbers in sorted order (which can be done without sorting in O(n)) then you do a linear matching for the ranges between the list of sorted random numbers and the list of running sums. This gives a total runtime of O(m+n). The code in its entirety running in Ideone.
use List::Util qw(shuffle);
my %freq = (...);
# list of letters in sorted order, i.e. "a", "b", "c", ..., "x", "y", "z"
# sorting is O(n*log(n)) but it can be avoided if you already have
# a list of letters you're interested in using
my #letters = sort keys %freq;
# compute the running_sums table in O(n)
my $sum = 0;
my %running_sum;
for(#letters) {
$running_sum{$_} = $sum;
$sum += $freq{$_};
}
# generate a string with letters in $freq frequency in O(m)
my $curmax = 1;
my $curletter = $#letters;
my $i = 16; # the number of letters we want to generate
my #result;
while ($i > 0) {
# $curmax generates a uniformly distributed decreasing random number in [0,1)
# see http://repository.cmu.edu/cgi/viewcontent.cgi?article=3483&context=compsci
$curmax = $curmax * (1-rand())**(1. / $i);
# scale the random number $curmax to [0,$sum)
my $num = int ($curmax * $sum);
# find the range that includes $num
while ($num < $running_sum{$letters[$curletter]}) {
$curletter--;
}
push(#result, $letters[$curletter]);
$i--;
}
# since $result is sorted, you may want to use shuffle it first
# Fisher-Yates shuffle is O(m)
print "", join('', shuffle(#result));

Perl recursion help

I'm trying to write a program that will calculate the dividends of stocks. I did this without a subroutine. Right now, I'm trying to modify it so it can run using a recursive routine. Any help with this? Because I'm not so good at this.
Here's the original script + a pathetic attempt.
print "A stock xyz's price is now $100. It has 3.78% dividend. You have 1000 of it and reinvest the dividend into the stock.\n";
my %hash;
#stocknum = 1000;
#dividend = 6780;
while ($#dividend != 20) {
$a = $dividend[-1];
$stock = $stocknum[-1];
$div_total= $stock*100*0.0678;
$stock_total = $stock + int($a/100);
push (#stocknum, $stock_total);
push (#dividend, $div_total);
if ($#dividend == 20) {
last;
}
}
shift (#dividend);
$stock_num = $stocknum[-1];
$div = $stock_num*100*0.0678;
push (#dividend, $div);
#hash{#stocknum} = #dividend;
foreach $key(sort keys %hash) {
print "Stock number: $key\t"."Dividend: $hash{$key}\n";
}
$dividend=0.0378;
I don't think you want recursion. I think you just want to loop over the number of cycles of payouts that you're after. It looks like you're getting all mixed up with arrays for some reason.
print <<'HERE';
A stock xyz's price is now $100. It has 6.78% dividend.
You have 1000 of it and reinvest the dividend into the stock.
HERE
my $shares = 1000;
my $price = 100;
my $dividend = 6.78 / 100;
my $cycles = $ARGV[0] || 20;
foreach ( 1 .. $cycles ) {
local $cycle = $_;
local $payout = $shares * $dividend * $price;
local $new_shares = $payout / $price;
write();
$shares += $new_shares;
}
format STDOUT =
#### #####.###### ######.####### ###.###### #####.######
$cycle, $shares, $payout, $new_shares, $shares+$new_shares,
.
format STDOUT_TOP =
###.####%
$dividend
Cycle Shares Payout New Shares Total Shares
----------------------------------------------------------------
.
This gives me the output:
A stock xyz's price is now $100. It has 6.78% dividend.
You have 1000 of it and reinvest the dividend into the stock.
0.0678%
Cycle Shares Payout New Shares Total Shares
----------------------------------------------------------------
1 1000.000000 6780.0000000 67.800000 1067.800000
2 1067.800000 7239.6840000 72.396840 1140.196840
3 1140.196840 7730.5345752 77.305346 1217.502186
4 1217.502186 8254.6648194 82.546648 1300.048834
5 1300.048834 8814.3310942 88.143311 1388.192145
6 1388.192145 9411.9427423 94.119427 1482.311572
7 1482.311572 10050.0724603 100.500725 1582.812297
8 1582.812297 10731.4673731 107.314674 1690.126971
9 1690.126971 11459.0608610 114.590609 1804.717579
10 1804.717579 12235.9851873 122.359852 1927.077431
11 1927.077431 13065.5849830 130.655850 2057.733281
12 2057.733281 13951.4316449 139.514316 2197.247597
13 2197.247597 14897.3387104 148.973387 2346.220985
14 2346.220985 15907.3782750 159.073783 2505.294767
15 2505.294767 16985.8985220 169.858985 2675.153752
16 2675.153752 18137.5424418 181.375424 2856.529177
17 2856.529177 19367.2678194 193.672678 3050.201855
18 3050.201855 20680.3685775 206.803686 3257.005541
19 3257.005541 22082.4975671 220.824976 3477.830517
20 3477.830517 23579.6909021 235.796909 3713.627426
Don't worry about my use of format; I've had that on the brain this weekend since I rewrote some perlfaq stuff about it then also turned it into Use formats to create paginated, plaintext reports. You could just as easily created the output with printf:
print <<'HERE';
A stock xyz's price is now $100. It has 6.78% dividend.
You have 1000 of it and reinvest the dividend into the stock.
Cycle Shares Payout New Shares Total Shares
----------------------------------------------------------------
HERE
my $shares = 1000;
my $price = 100;
my $dividend = 6.78 / 100;
my $cycles = $ARGV[0] || 20;
foreach ( 1 .. $cycles ) {
my $payout = $shares * $dividend * $price;
my $new_shares = $payout / $price;
printf "%4d %12.6f %12.6f %10.6f %12.6f\n",
$_, $shares, $payout, $new_shares, $shares + $new_shares;
$shares += $new_shares;
}
As a side note, you really don't ever want recursion, and especially not in Perl if you can help it. Other languages get away with it because they know how to unroll your recursion to turn it into an iterative process. Perl, being a dynamic language, can't really do that because it doesn't know if the subroutine will have the same definition on the next go around. It's nice as a computer science topic because it makes the programming marginally easier and they know it all works out in the end. I think I talk about this in Mastering Perl somewhere, but Mark Jason Dominus covers it extensively in Higher-Order Perl. Basically, instead of recursion you use a queue, which is a better skill to practice anyway.