Maximal input length/Variable input length for TinyGP - genetic-programming

i am planning to use tinyGP as a way to train a set of Input variables (Around 400 or so) to a value set before. Is there a maximum size of Input variables? Do i need to specify the same amount of variables each time?
I have a lot of computation power (500 core cluster for a weekend) so any thoughts on what parameters to use for such a large problem?
cheers

In TinyGP your constant and variable pool share the same space. The total of these two spaces cannot exceede FSET_START, which is essentially the opcode of your first operator. By default is 110. So your 400 is already over this. This should be just a matter of increasing the opcode of the first instruction up to make enough space. You will also want to make sure you still have a big enough "constant pool".
You can see this checked with the following line in TinyGP:
if (varnumber + randomnumber >= FSET_START )
System.out.println("too many variables and constants");

Related

X and Y inputs in LabVIEW

I am new to LabVIEW and I am trying to read a code written in LabVIEW. The block diagram is this:
This is the program to input x and y functions into the voltage input. It is meant to give an input voltage in different forms (sine, heartshape , etc.) into the fast-steering mirror or galvano mirror x and y axises.
x and y function controls are for inputting a formula for a function, and then we use "evaluation single value" function to input into a daq assistant.
I understand that { 2*(|-Mpi|)/N }*i + -Mpi*pi goes into the x value. However, I dont understand why we use this kind of formula. Why we need to assign a negative value and then do the absolute value of -M*pi. Also, I don`t understand why we need to divide to N and then multiply by i. And finally, why need to add -Mpi again? If you provide any hints about this I would really appreciate it.
This is just a complicated way to write the code/formula. Given what the code looks like (unnecessary wire bends, duplicate loop-input-tunnels, hidden wires, unnecessary coercion dots, failure to use appropriate built-in 'negate' function) not much care has been given in writing it. So while it probably yields the correct results you should not expect it to do so in the most readable way.
To answer you specific questions:
Why we need to assign a negative value and then do the absolute value
We don't. We can just move the negation immediately before the last addition or change that to a subtraction:
{ 2*(|Mpi|)/N }*i - Mpi*pi
And as #yair pointed out: We are not assigning a value here, we are basically flipping the sign of whatever value the user entered.
Why we need to divide to N and then multiply by i
This gives you a fraction between 0 and 1, no matter how many steps you do in your for-loop. Think of N as a sampling rate. I.e. your mirrors will always do the same movement, but a larger N just produces more steps in between.
Why need to add -Mpi again
I would strongly assume this is some kind of quick-and-dirty workaround for a bug that has not been fixed properly. Looking at the code it seems this +Mpi*pi has been added later on in the development process. And while I don't know what the expected values are I would believe that multiplying only one of the summands by Pi is probably wrong.

How to access net displacements in pyiron

Using pyiron, I want to calculate the mean square displacement of the ions in my system. How do I see the total displacement (i.e. not folded back by periodic boundary conditions) without dumping very frequently and checking when an atom passes over the boundary and gets wrapped?
Try to compare job['output/generic/unwrapped_positions'][-1] and job.structure.positions+job.output.total_displacements[-1]. If they deliver the same values, it's definitely fine both ways. If not, you can post the relevant lines in your notebook here.
I'd like to add a few comments to Jan's answer:
While job['output/generic/unwrapped_positions'] returns the unwrapped positions parsed from the output files, job.output.total_displacements returns the displacement of atoms calculated from each pair of consecutive snapshots. So if an atom moves more than half the box length in any direction, job.output.total_displacements will give wrong coordinates. Therefore, job['output/generic/unwrapped_positions'] is generally more trustworthy, but it is not available in all the codes (since some codes simply do not provide an output for unwrapped positions).
Moreover, if an interactive job is used, it is possible that job.structure.positions does not return the initial positions, i.e. job.structure.positions+job.output.total_displacements won't be initial positions + displacements.
So, in short, my answer to your question would be rather "Use job['output/generic/unwrapped_positions'] and if it's not available, use job.structure.positions+job.output.total_displacements but be aware of potential problems you might be running into."

Why is the condition in this if statement written as a multiplication instead of the value of the multiplication?

I was reviewing some code from a library for Arduino and saw the following if statement in the main loop:
draw_state++;
if ( draw_state >= 14*8 )
draw_state = 0;
draw_state is a uint8_t.
Why is 14*8 written here instead of 112? I initially thought this was done to save space, as 14 and 8 can both be represented by a single byte, but then so can 112.
I can't see why a compiler wouldn't optimize this to 112, since otherwise it would mean a multiplication has to be done every iteration instead of the lookup of a value. This looks to me like there is some form of memory and processing tradeoff.
Does anyone have a suggestion as to why this was done?
Note: I had a hard time coming up with a clear title, so suggestions are welcome.
Probably to explicitly show where the number 112 came from. For example, it could be number of bits in 14 bytes (but of course I don't know the context of the code, so I could be wrong). It would then be more obvious to humans where the value came from, than wiriting just 112.
And as you pointed out, the compiler will probably optimize it, so there will be no multiplication in the machine code.

Advice for bit level manipulation

I'm currently working on a project that involves a lot of bit level manipulation of data such as comparison, masking and shifting. Essentially I need to search through chunks of bitstreams between 8kbytes - 32kbytes long for bit patterns between 20 - 40bytes long.
Does anyone know of general resources for optimizing for such operations in CUDA?
There has been a least a couple of questions on SO on how to do text searches with CUDA. That is, finding instances of short byte-strings in long byte-strings. That is similar to what you want to do. That is, a byte-string search is much like a bit-string search where the number of bits in the byte-string can only be a multiple of 8, and the algorithm only checks for matches every 8 bits. Search on SO for CUDA string searching or matching, and see if you can find them.
I don't know of any general resources for this, but I would try something like this:
Start by preparing 8 versions of each of the search bit-strings. Each bit-string shifted a different number of bits. Also prepare start and end masks:
start
01111111
00111111
...
00000001
end
10000000
11000000
...
11111110
Then, essentially, perform byte-string searches with the different bit-strings and masks.
If you're using a device with compute capability >= 2.0, store the shifted bit-strings in global memory. The start and end masks can probably just be constants in your program.
Then, for each byte position, launch 8 threads that each checks a different version of the 8 shifted bit-strings against the long bit-string (which you now treat like a byte-string). In each block, launch enough threads to check, for instance, 32 bytes, so that the total number of threads per block becomes 32 * 8 = 256. The L1 cache should be able to hold the shifted bit-strings for each block, so that you get good performance.

Where does the limitation of 10^15 in D.J. Bernstein's 'primegen' program come from?

At http://cr.yp.to/primegen.html you can find sources of program that uses Atkin's sieve to generate primes. As the author says that it may take few months to answer an e-mail sent to him (I understand that, he sure is an occupied man!) I'm posting this question.
The page states that 'primegen can generate primes up to 1000000000000000'. I am trying to understand why it is so. There is of course a limitation up to 2^64 ~ 2 * 10^19 (size of long unsigned int) because this is how the numbers are represented. I know for sure that if there would be a huge prime gap (> 2^31) then printing of numbers would fail. However in this range I think there is no such prime gap.
Either the author overestimated the bound (and really it is around 10^19) or there is a place in the source code where the arithmetic operation can overflow or something like that.
The funny thing is that you actually MAY run it for numbers > 10^15:
./primes 10000000000000000 10000000000000100
10000000000000061
10000000000000069
10000000000000079
10000000000000099
and if you believe Wolfram Alpha, it is correct.
Some facts I had "reverse-engineered":
numbers are sifted in batches of 1,920 * PRIMEGEN_WORDS = 3,932,160 numbers (see primegen_fill function in primegen_next.c)
PRIMEGEN_WORDS controls how big a single sifting is - you can adjust it in primegen_impl.h to fit your CPU cache,
the implementation of the sieve itself is in primegen.c file - I assume it is correct; what you get is a bitmask of primes in pg->buf (see primegen_fill function)
The bitmask is analyzed and primes are stored in pg->p array.
I see no point where the overflow may happen.
I wish I was on my computer to look, but I suspect you would have different success if you started at 1 as your lower bound.
Just from the algorithm, I would conclude that the upper bound comes from the 32 bit numbers.
The page mentiones Pentium-III as CPU so my guess it is very old and does not use 64 bit.
2^32 are approx 10^9. Sieve of Atkins (which the algorithm uses) requires N^(1/2) bits (it uses a big bitfield). Which means in 2^32 big memory you can make (conservativ) N approx 10^15. As this number is a rough conservative upper bound (you have system and other programs occupying memory, reserving address ranges for IO,...) the real upper bound is/might be higher.