Changes in RcppArmadillo version 0.9.880.1.0 (2020-05-15)

• Upgraded to Armadillo release 9.880.1 (Roasted Mocha Detox)
  • expanded qr() to optionally use pivoted decomposition
  • updated physical constants to NIST 2018 CODATA values
  • added ARMA_DONT_USE_CXX11_MUTEX confguration option to disable use of std::mutex
• OpenMP capability is tested explicitly (Kevin Ushey and Dirk in #294, #295, and #296 all fixing #290).

This post by Dirk Eddelbuettel originated on his Thinking inside the box blog. Please report excessive re-aggregation in third-party for-profit settings.

 $ cat input   sysbox exec-stdin "youtube-dl  "

$ cat /etc/passwd   sysbox exec-stdin --split=: groups  1 

$ source <(sysbox bash-completion)

$ sysbox choose-file -exec "xine  " /srv/tv

• A text-box for filtering the list.
• A list which can be scrolled up/down/etc.
• A brief bit of help information in the footer.

$ sysbox calc
calc> let a = 3
3
calc> a / 9 * 3
1
calc> 1 + 2 * a
7
calc> 1.2 + 3.4
4.600000

1. Signal quality. Forget detecting proximity with Bluetooth Low Energy. Yes, there are attempts to use BLE beacons for indoor positioning. But these use that you can learn fingerprints of which beacons are visible at which points, combined with additional information such as movement sensors and history (you do not teleport around in a building). BLE signals and antennas apparently tend to be very prone to orientation differences, signal reflections, and of course you will not have the idealized controlled environment used in such prototypes. The contacts have a single device, and they move this is not comparable to indoor positioning. I strongly doubt you can tell whether you are close to someone, or not.
2. Close vs. protection. The app cannot detect protection in place. Being close to someone behind a plexiglass window or even a solid wall is very different from being close otherwise. You will get a lot of false contacts this way. That neighbor that you have never seen living in the appartment above will likely be considered a close contact of yours, as you sleep next to each other every day
3. Low adoption rates. Apparently even in technology affine Singapore, fewer than 20% of people installed the app. That does not even mean they use it regularly. In Austria, the number is apparently below 5%, and people complain that it does not detect contact But in order for this approach to work, you will need Chinese-style mass surveillance that literally puts you in prison if you do not install the app.
4. False alerts. Because of these issues, you will get false alerts, until you just do not care anymore.
5. False sense of security. Honestly: the app does not pretect you at all. All it tries to do is to make the tracing of contacts easier. It will not tell you reliably if you have been infected (as mentioned above, too many false positives, too few users) nor that you are relatively safe (too few contacts included, too slow testing and reporting). It will all be on the quality of about 10 days ago you may or may not have contact with someone that tested positive, please contact someone to expose more data to tell you that it is actually another false alert .
6. Trust. In Germany, the app will be operated by T-Systems and SAP. Not exactly two companies that have a lot of fans SAP seems to be one of the most hated software around. Neither company is known for caring about privacy much, but they are prototypical for business first . Its trust the cat to keep the cream. Yes, I know they want to make it open-source. But likely only the client, and you will still have to trust that the binary in the app stores is actually built from this source code, and not from a modified copy. As long as the name T-Systems and SAP are associated to the app, people will not trust it. Plus, we all know that the app will be bad, given the reputation of these companies at making horrible software systems
7. Too late. SAP and T-Systems want to have the app ready in mid June. Seriously, this must be a joke? It will be very buggy in the beginning (because it is SAP!) and it will not be working reliably before end of July. There will not be a substantial user before fall. But given the low infection rates in Germany, nobody will bother to install it anymore, because the perceived benefit is 0 one the infection rates are low.
8. Infighting. You may remember that there was the discussion before that there should be a pan-european effort. Except that in the end, everybody fought everybody else, countries went into different directions and they all broke up. France wanted a centralized systems, while in Germany people pointed out that the users will not accept this and only a distributed system will have a chance. That failed effort was known as Pan-European Privacy-Preserving Proximity Tracing (PEPP-PT) vs. Decentralized Privacy-Preserving Proximity Tracing (DP-3T) , and it turned out to have become a big clusterfuck . And that is just the tip of the iceberg.

The Private Lives of Private Keys Here is what a typical private key looks like, when you come across it:

-----BEGIN RSA PRIVATE KEY-----
MGICAQACEQCxjdTmecltJEz2PLMpS4BXAgMBAAECEDKtuwD17gpagnASq1zQTYEC
CQDVTYVsjjF7IQIJANUYZsIjRsR3AgkAkahDUXL0RSECCB78r2SnsJC9AghaOK3F
sKoELg==
-----END RSA PRIVATE KEY-----

Obviously, there s some hidden meaning in there computers don t encrypt things by shouting BEGIN RSA PRIVATE KEY! , after all. What is between the BEGIN/END lines above is, in fact, a base64-encoded DER format ASN.1 structure representing a PKCS#1 private key. In simple terms, it s a list of numbers very important numbers. The list of numbers is, in order:

• A version number (0);
• The public modulus , commonly referred to as n ;
• The public exponent , or e (which is almost always 65,537, for various unimportant reasons);
• The private exponent , or d ;
• The two private primes , or p and q ;
• Two exponents, which are known as dmp1 and dmq1 ; and
• A coefficient, known as iqmp .

Why Is This a Problem? The thing is, only three of those numbers are actually required in a private key. The rest, whilst useful to allow the RSA encryption and decryption to be more efficient, aren t necessary. The three absolutely required values are e, p, and q. Of the other numbers, most of them are at least about the same size as each of p and q. So of the total data in an RSA key, less than a quarter of the data is required. Let me show you with the above toy key, by breaking it down piece by piece¹:

• MGI DER for this is a sequence
• CAQ version (0)
• CxjdTmecltJEz2PLMpS4BX n
• AgMBAA e
• ECEDKtuwD17gpagnASq1zQTY d
• ECCQDVTYVsjjF7IQ p
• IJANUYZsIjRsR3 q
• AgkAkahDUXL0RS dmp1
• ECCB78r2SnsJC9 dmq1
• AghaOK3FsKoELg== iqmp

Remember that in order to reconstruct all of these values, all I need are e, p, and q and e is pretty much always 65,537. So I could redact almost all of this key, and still give all the important, private bits of this key. Let me show you:

-----BEGIN RSA PRIVATE KEY-----
..............................................................EC
CQDVTYVsjjF7IQIJANUYZsIjRsR3....................................
........
-----END RSA PRIVATE KEY-----

Now, I doubt that anyone is going to redact a key precisely like this but then again, this isn t a typical RSA key. They usually look a lot more like this:

-----BEGIN RSA PRIVATE KEY-----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-----END RSA PRIVATE KEY-----

People typically redact keys by deleting whole lines, and usually replacing them with [...] and the like. But only about 345 of those 1588 characters (excluding the header and footer) are required to construct the entire key. You can redact about 4/5ths of that giant blob of stuff, and your private parts (or at least, those of your key) are still left uncomfortably exposed.

But Wait! There s More! Remember how I said that everything in the key other than e, p, and q could be derived from those three numbers? Let s talk about one of those numbers: n. This is known as the public modulus (because, along with e, it is also present in the public key). It is very easy to calculate: n = p * q. It is also very early in the key (the second number, in fact). Since n = p * q, it follows that q = n / p. Thus, as long as the key is intact up to p, you can derive q by simple division.

Real World Redaction At this point, I d like to introduce an acquaintance of mine: Mr. Johan Finn. He is the proud owner of the GitHub repo johanfinn/scripts. For a while, his repo contained a script that contained a poorly-redacted private key. He since deleted it, by making a new commit, but of course because git never really deletes anything, it s still available. Of course, Mr. Finn may delete the repo, or force-push a new history without that commit, so here is the redacted private key, with a bit of the surrounding shell script, for our illustrative pleasure:

#Add private key to .ssh folder
cd /home/johan/.ssh/
echo  "-----BEGIN RSA PRIVATE KEY-----
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
 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:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::.::
:::::::::::::::::::::::::::.::::::::::::::::::::::::::::::::::::
LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLlL
 
 
 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-----END RSA PRIVATE KEY-----" >> id_rsa

Now, if you try to reconstruct this key by removing the obvious garbage lines (the ones that are all repeated characters, some of which aren t even valid base64 characters), it still isn t a key at least, openssl pkey doesn t want anything to do with it. The key is very much still in there, though, as we shall soon see. Using a gem I wrote and a quick bit of Ruby, we can extract a complete private key. The irb session looks something like this:

>> require "derparse"
>> b64 = <<EOF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>> b64 += <<EOF
gff0GJCOMZ65pMSy3A3cSAtjlKnb4fWzuHD5CFbusN4WhCT/tNxGNSpzvxd8GIDs
nY7exs9L230oCCpedVgcbayHCbkChEfoPzL1e1jXjgCwCTgt8GjeEFqc1gXNEaUn
O8AJ4VlR8fRszHm6yR0ZUBdY7UJddxQiYOzt0S1RLlECggEAbdcs4mZdqf3OjejJ
06oTPs9NRtAJVZlppSi7pmmAyaNpOuKWMoLPElDAQ3Q7VX26LlExLCZoPOVpdqDH
KbdmBEfTR4e11Pn9vYdu9/i6o10U4hpmf4TYKlqk10g1Sj21l8JATj/7Diey8scO
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EOF
>> der = b64.unpack("m").first
>> c = DerParse.new(der).first_node.first_child
>> version = c.value
=> 0
>> c = c.next_node
>> n = c.value
=> 80071596234464993385068908004931... # (etc)
>> c = c.next_node
>> e = c.value
=> 65537
>> c = c.next_node
>> d = c.value
=> 58438813486895877116761996105770... # (etc)
>> c = c.next_node
>> p = c.value
=> 29635449580247160226960937109864... # (etc)
>> c = c.next_node
>> q = c.value
=> 27018856595256414771163410576410... # (etc)

What I ve done, in case you don t speak Ruby, is take the two chunks of plausible-looking base64 data, chuck them together into a variable named b64, unbase64 it into a variable named der, pass that into a new DerParse instance, and then walk the DER value tree until I got all the values I need. Interestingly, the q value actually traverses the split in the two chunks, which means that there s always the possibility that there are lines missing from the key. However, since p and q are supposed to be prime, we can sanity check them to see if corruption is likely to have occurred:

>> require "openssl"
>> OpenSSL::BN.new(p).prime?
=> true
>> OpenSSL::BN.new(q).prime?
=> true

Excellent! The chances of a corrupted file producing valid-but-incorrect prime numbers isn t huge, so we can be fairly confident that we ve got the real p and q. Now, with the help of another one of my creations we can use e, p, and q to create a fully-operational battle key:

>> require "openssl/pkey/rsa"
>> k = OpenSSL::PKey::RSA.from_factors(p, q, e)
=> #<OpenSSL::PKey::RSA:0x0000559d5903cd38>
>> k.valid?
=> true
>> k.verify(OpenSSL::Digest::SHA256.new, k.sign(OpenSSL::Digest::SHA256.new, "bob"), "bob")
=> true

and there you have it. One fairly redacted-looking private key brought back to life by maths and far too much free time. Sorry Mr. Finn, I hope you re not still using that key on anything Internet-facing.

What About Other Key Types? EC keys are very different beasts, but they have much the same problems as RSA keys. A typical EC key contains both private and public data, and the public portion is twice the size so only about 1/3 of the data in the key is private material. It is quite plausible that you can redact an EC key and leave all the actually private bits exposed.

What Do We Do About It? In short: don t ever try and redact real private keys. For documentation purposes, just put KEY GOES HERE in the appropriate spot, or something like that. Store your secrets somewhere that isn t a public (or even private!) git repo. Generating a dummy private key and sticking it in there isn t a great idea, for different reasons: people have this odd habit of reusing demo keys in real life. There s no need to encourage that sort of thing.

---

1. Technically the pieces aren t 100% aligned with the underlying DER, because of how base64 works. I felt it was easier to understand if I stuck to chopping up the base64, rather than decoding into DER and then chopping up the DER.

• CPU-Z: https://www.techpowerup.com/download/cpu-z/
• ATI/AMB Flash program: https://www.techpowerup.com/download/ati-atiflash/

• Start a command line shell (cmd or powershell) with Administrator rights (on Linux become root)
• Save your current BIOS in case you need to restore it with amdvbflash -s 0 oldbios.rom (this can also be done out of the GUI application)
• Unlock the BIOS rom with amdvbflash -unlockrom 0
• Force flash the new BIOS with amdvbflash -f -p 0 NEW.rom (where NEW.rom is the 5700 XT BIOS rom file)

nft add table nat
nft add chain nat postrouting   type nat hook postrouting priority 100 \;  
nft add rule nat postrouting ip saddr 192.168.1.0/24 oif wlan0 masquerade

• a better developer experience, allowing users to debug any installed package without extra setup steps
• performance improvements in all areas (starting programs, building distri packages, generating distri images)
• better tooling for keeping track of upstream versions

1+ month download bandwidth test

• rebooted everything; yes, including the cable modem.
• turned off firewall. and on. and off. of course, no change.
• changed the Ethernet port used on my firewall.
• changed firewall rules.
• rebooted again.

• turn off everything.
• change cable modem from bridged mode to router mode - which is not how I want the modem to work, so the test is meaningless; also, how can router mode be faster
• disconnect everything else than the test computer.
• download a program from somewhere (Windows/Mac/iOS, with a browser version too), and run it. yay for open platform!

1+ month updated bandwidth test

Outgoing smokeping to public IPv4

Outgoing smokeping over VPN

Incoming smokeping to public IPv4

Incoming smokeping over VPN

Outgoing current week smokeping to public IPv4

Outgoing current week smokeping over VPN

Incoming 1-day smokeping, old provider

Incoming 1-day smokeping, new provider

Outgoing 1-day smokeping, old provider

Outgoing 1-day smokeping, new provider

• before/after plain latency: 24.1ms 18.8ms, ~5.3ms gained, ~22% lower.
• before/after packet loss: ~7.0% 0.0% , infinitely better :)
• before/after latency standard deviation: ~2.1ms 0.0ms.
• before/after direct-vs-VPN difference: inconsistent consistent 0.4ms faster for direct ping.

CONFIG_DRM_AMDGPU=m
CONFIG_DRM_AMDGPU_USERPTR=y
CONFIG_DRM_AMD_ACP=y
CONFIG_DRM_AMD_DC=y
CONFIG_DRM_AMD_DC_DCN=y
CONFIG_HSA_AMD=y

deb [arch=amd64] http://repo.radeon.com/rocm/apt/debian/ xenial main

/opt/rocm-3.3.0/lib/

SUBSYSTEM=="kfd", KERNEL=="kfd", TAG+="uaccess", GROUP="video"

$ glxinfo
ame of display: :0
display: :0  screen: 0
direct rendering: Yes
server glx vendor string: SGI
server glx version string: 1.4
...
client glx vendor string: Mesa Project and SGI
client glx version string: 1.4
...

pip3 install tensorflow-rocm

>> import tensorflow as tf
>> tf.add(1, 2).numpy()
2020-05-14 12:07:19.590169: I tensorflow/stream_executor/platform/default/dso_loader.cc:44] Successfully opened dynamic library libhip_hcc.so
...
2020-05-14 12:07:19.711478: I tensorflow/core/common_runtime/gpu/gpu_device.cc:1247] Created TensorFlow device (/job:localhost/replica:0/task:0/device:GPU:0 with 7444 MB memory) -> physical GPU (device: 0, name: Navi 10 [Radeon RX 5600 OEM/5600 XT / 5700/5700 XT], pci bus id: 0000:03:00.0)
3
>>

$ R
...
> install.packages("tensorflow")
..

$ R
...
> library(tensorflow)
> tf$constant("Hellow Tensorflow")
2020-05-14 12:14:24.185609: I tensorflow/stream_executor/platform/default/dso_loader.cc:44] Successfully opened dynamic library libhip_hcc.so
...
2020-05-14 12:14:24.277736: I tensorflow/core/common_runtime/gpu/gpu_device.cc:1247] Created TensorFlow device (/job:localhost/replica:0/task:0/device:GPU:0 with 7444 MB memory) -> physical GPU (device: 0, name: Navi 10 [Radeon RX 5600 OEM/5600 XT / 5700/5700 XT], pci bus id: 0000:03:00.0)
tf.Tensor(b'Hellow Tensorflow', shape=(), dtype=string)
>

Vulkan is a new generation graphics and compute API that provides high-efficiency, cross-platform access to modern GPUs used in a wide variety of devices from PCs and consoles to mobile phones and embedded platforms.

• Install the necessary dependencies
• Install the Repo tool
• Get the source code
• Make 64-bit and 32-bit builds
• Copy driver and JSON files (see below for what I did differently!)

Section "Device"
        Identifier "AMDgpu"
        Option  "DRI" "3"
EndSection

• copy the driver files to /opt/amdvkn/lib, so I have now there /opt/amdvlk/lib/i386-linux-gnu/amdvlk32.so and /opt/amdvlk/lib/x86_64-linux-gnu/amdvlk64.so
• Adjust the location of the driver file in the two JSON files /etc/vulkan/icd.d/amd_icd32.json and /etc/vulkan/icd.d/amd_icd64.json (which were installed above under Copy driver and JSON files)
• added a file /etc/ld.so.conf.d/amdvlk.conf containing the two lines:

  /opt/amdvlk/lib/i386-linux-gnu
  /opt/amdvlk/lib/x86_64-linux-gnu

Programs must be written for people to read, and only incidentally for machines to execute.