bit-vec | A Vec of Bits | Machine Learning library

To give you something to start with, you can use fancyhdr and tikz to design your own header:

I think the problem is a mismatch between your postgres schema and your Rust type: the error seems to say that your postgres type is timestamp, while your rust type is DateTime.

If you check the conversion table, DateTime converts to a TIMESTAMP WITH TIME ZONE. The only types which convert to TIMESTAMP are NaiveDateTime and PrimitiveDateTime.

I am not sure if there is any special bit logic function, see e.g. here.

But how about this?

int2bv is expensive. There are many reasons for this, but bottom line the solver now has to negotiate between the theory of integers and bit-vectors, and the heuristics probably don't help much. Notice that to do a proper conversion the solver has to perform repeated divisions, which is quite costly. Furthermore, talking about bits of a mathematical integer doesn't make much sense to start with: What if it's a negative number? Do you assume some sort of a infinite-width 2's complement representation? Or is it some other mapping? All this makes it harder to reason with such conversions. And for a long time int2bv was uninterpreted in z3 for this and similar reasons. You can find many posts regarding this on stack-overflow, for instance see here: Z3 : Questions About Z3 int2bv?

Your best bet would be to simply use bit-vectors to start with. If you're reasoning about machine arithmetic, why not model everything with bit-vectors to start with?

If you're stuck with the Int type, my recommendation would be to simply stick to mod function, making sure the second argument is a constant. This might avoid some of the complexity, but without looking at actual problems, it's hard to opine any further.

Use bv_val: https://z3prover.github.io/api/html/classz3_1_1context.html#a2bda3f1857cc76d49ca6f3653c02ff44

It comes with 6 overloadings, for all sorts of things you might start from. int, unsigned, int64_t, uint64_t, and even char const * etc. In this case, you want the char const * overloading, putting the value as a decimal string.

The question you are asking has no direct answer: Just like any other programming language, Rust has a basic set of rules for type layouts. This is due to the fact that (most) real-world CPUs can't address individual bits, need certain alignments when referencing memory, have rules regarding how pointer arithmetic works etc. etc.

For instance, if you create a type of just two bits, you'll still need an 8-bit byte to represent that type, because there is simply no way to address two individual bits on most CPU's opcodes; there is also no way to take the address of such a type because addressing works at least on the byte-level. More useful information regarding this can be found here, section 2, The Anatomy of a Type. Be aware that the non-wasting bit-level type you are thinking about needs to fulfill all the rules mentioned there.

It's a perfectly reasonable approach to represent what you want to do e.g. either as a single, wrapped u128 and implement all arithmetic on top of that type. Another, more generic, approach would be to use a Vec. You'll always do a relatively large amount of bit-masking, indirecting and such.

Having a look at rust_decimal or similar crates might also be a good idea.

Below is for BigQuery Standard SQL

Note that we cannot identify the price and size columns by indices but only by name

The problem seems to be an old version of hyperref installed in your personal texmf tree: /Users/jcur002/Library/texmf/tex/latex/kranz/hyperref.sty

This package version conflicts with the other package files. Once this file is removed, the up-to-date version from the texlive tree should be used and the version mismatch solved.

By your definition, no, there is no "reasonable" way. That's just how NSCharacterSet stores it. It's optimized for testing membership, not enumerating all members.

Your loop can increment a counter over the codepoints, or it can shift the bits (one per codepoint), but either way you have to loop and test. The highest "Ll" character on my Mac is U+1D7CB (#120,779), so if you want to compute this list of characters at runtime, your code will have to loop at least that many times. See the Objective-C version of the documentation for details on how the bit vector is organized.

The good news is that this is fast. With unoptimized code on my 10-year-old Mac, it takes less than 1/10th of a second to find all 1,841 lowercaseLetters. If that's still not fast enough, it's easy to hide the cost by doing it once, in the background, at startup time.